5th Workshop on Quantum Chaos and Localisation Phenomena

20 - 22 May 2011 - Warsaw, Poland

Organisers
    * Institute of Physics, Polish Academy of Sciences
    * Center for Theoretical Physics, Polish Academy of Sciences
    * Pro Physica Foundation

Organising Committee
    * Szymon Bauch
    * Oleh Hul
    * Marek Kuś
    * Michał Ławniczak
    * Leszek Sirko - Chairman

Workshop's Objectives

To assess achievements and to formulate directions of new research on quantum chaos and localisation. To bring together prominent experimental and theoretical physicists who share a common interest in quantum chaos and localisation phenomena.

Workshop's Scope

Presentations will focus on the following topics: Quantum chaos and nonlinear classical systems; Quantum and microwave billiards; Quantum and microwave graphs; Atoms in strong electromagnetic fields - experiment and theory; Chaos vs. coherent effects in multiple scattering; Anderson localisation; Random lasers; Quantum chaos and quantum computing; Entanglement and noise.

First Announcement

The 5th Workshop on Quantum Chaos and Localisation Phenomena will be held from May 20 to May 22, 2011 at the Institute of Physics of the Polish Academy of Sciences in Warszawa. Arrivals are planned on Friday, afternoon/evening (May 20). Departure will be on Sunday, May 22. Please disseminate information about the Workshop among your students, collaborators and colleagues who might be interested.

Second Announcement

Deadlines:

Registration and Abstract Submission: April 15, 2011

Conference fee: 600 PLN (150 Euro)

The conference fee includes two lunches, conference dinner, and a social event on Saturday.
The fee for an accompanying person, which includes the conference dinner and the social event is: 200 PLN (50 Euro).
Limited number of grants for participants presenting posters will be available.

The payment should be transferred in Polish currency (złoty, PLN) to the bank account:

BPH o/Warszawa
PL 77 1060 0076 0000 3210 0014 4494
Swift code: BPHKPLPK
Instytut Fizyki PAN, Warszawa
Chaos5, 2011

All bank charges are on the account of the payer. Please include in the bank transfer documents the names of the participants. The conference fee can be paid also by cash in Polish currency directly upon an arrival. However, such participants must register earlier.

Scientific programme:

-The workshop's programme will consist of invited talks and poster contributions.
-Invited talks are allotted 35 minutes (including approx. 5 minutes
for questions/discussion).
-An overhead projector as well as a projector for a laptop will be available.
-The lectures will start on Saturday, May 21, at 9 am.
-The poster session will be organized on Saturday. The posters will remain on display until 2.15 pm on Sunday, May 22. For poster presentation stands 155 cm high and 115 cm wide will be provided.


The invited talks will be published in Acta Physica Polonica A.
We kindly ask invited speakers to prepare their manuscripts according to the guide to authors.

Deadline for the manuscript submission: 31 July 2011.


Hotel information:

Gromada Hotel **
ul. 17-go Stycznia 32, 02-148 Warszawa
tel. +48 (22) 576 46 00
fax +48 (22) 846 15 80
(Hotel is located in the nearest vicinity of the airport.
Approximated price for workshop's participants - a single room - 270 PLN)

Centrum Kulturalne Ojców Barnabitów *
(The Cultural Centre of the Barnabite Fathers)
ul. Smoluchowskiego 1, 02-679 Warszawa
tel. +48 (22) 543 20 01, 543 23 02
fax: +48 (22) 543 22 82
e-mail: centrum.kulturalne@wp.pl
(Prices: a single room - 160 PLN, a double room - 200 PLN)

Guest-house of the Institute of Physics PAS *
Al. Lotnikow 32/46, 02-668 Warszawa
phone: +48 (22) 843 24 24
e-mail: hotel@ifpan.edu.pl
(Prices: a single room - 130 PLN, a double room - 180 PLN)

* - walking distance to the Institute of Physics
** - transport to the Institute of Physics will be arranged by the organizers.


Invited Speakers

(Click on a name for more information)
* to be confirmed

Steven M. Anlage (College Park)
E-Mail: anlage@umd.edu
Affiliation: Physics Department, University of Maryland, College Park, MD 20742-4111, USA
Title: Fading statistics in communications - a random matrix approach (Jen-Hao Yeh, Thomas Antonsen, Edward Ott, and Steven M. Anlage)
Abstract:
Fading is the observation of variations in signal strength measured at a receiver due to time-dependent variations in the propagation of waves from the source, or due to multi-path scattering and interference. It is well known that the quantitative statistical theory of wave chaos - random matrix theory (RMT) - can be successfully applied to predict statistical properties of many quantities, such as the scattering matrix, of a wave chaotic system. Here we start from the statistical model of the scattering matrix [1] to establish a general fading model. The model provides a first-principles understanding of the most common statistical model used in the communications field, namely Rayleigh fading, and shows that the statistical properties are governed by a single quantity related to the loss or de-phasing parameter of RMT. We also combine the RMT fading model with our random coupling model (RCM) that takes into account system-specific features such as direct and short orbits [2-4], to build a more general fading model that includes Rician fading. In the high loss-parameter limit, our model agrees with the Rayleigh/Rice models, however it shows significant deviations from the Rayleigh/Rice distribution in the limit of low loss. We have performed experiments with two ray-chaotic microwave cavities [3,4] to test the RMT/RCM fading model over a wide range of loss parameter values. Work funded by the ONR/Maryland AppEl Center Task A2 (contract No. N000140911190), the AFOSR under grant FA95500710049. [1] P.W. Brouwer and C.W.J. Beenakker, Phys. Rev. B 55, 4695 (1997). [2] James A. Hart, T. M. Antonsen, and E. Ott, Phys. Rev. E 80, 041109 (2009). [3] Jen-Hao Yeh, et al., Phys. Rev. E 81, 025201(R) (2010). [4] Jen-Hao Yeh, et al., Phys. Rev. E 82, 041114 (2010).

Andreas Buchleitner (Freiburg)
E-Mail: abu@uni-freiburg.de
Affiliation: Institute of Physics, Albert Ludwigs University of Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany
Title: Transport, disorder, and entanglement
Abstract:
In many areas of physics we witness dramatic differences between classical and quantum transport - from the theory of charge or heat conduction in the solid state, over radiation transport in multiple scattering media, to energy transport in various scenarios of light-matter interaction. In general, we expect quantum features to fade away on large scales, due to the ever more unavoidable - and detrimental - influence of the environment which scrambles relative phases and damps quantum amplitudes. Recent experimental evidence suggests, however, that the functional efficiency of large biomolecular units may stem from quantum coherence phenomena, despite strong environment coupling. We explain such efficiency, under the assumption that evolution is able to steer finite size three dimensional systems into molecular conformations with optimal coherent transport properties. It turns out that such optimal conformations are characterized by specific, optimal entanglement properties between different sites of the molecular complex.

Yan Fyodorov (Nottingham)
E-Mail: Yan.Fyodorov@nottingham.ac.uk
Affiliation: Mathematical Physics, School of Mathematical Sciences, University of Nottingham, NG72RD Nottingham, UK
Title: Level curvature distribution at the spectral edge of random Hermitian matrices
Abstract:
Level curvature is a measure of sensitivity of eigenvalues of a disordered/chaotic system to perturbations. In the bulk of the spectrum Random Matrix Theory predicts the probability distributions of level curvatures to be given by Zakrzewski-Delande expressions. Motivated by growing interest in statistics of extreme (maximal or minimal) eigenvalues of disordered systems of various nature, it is natural to ask about the associated level curvatures. I show how calculating the distribution for the curvatures of extreme eigenvalues in GUE ensemble can be reduced to studying asymptotics of orthogonal polynomials appearing in a recent work by Nadal and Majumdar. The corresponding asymptotic analysis being yet outstanding, I instead will discuss solution of a related, but somewhat simpler problem of calculating the level curvature distribution averaged over all the levels in a spectral window close to the edge of the semicircle.

Heiner Kohler (Madrid)
E-Mail: hkohler@icmm.csic.es
Affiliation: Instituto de Ciencia de Materiales de Madrid, CSIC, Madrid, Spain
Title: Fidelity in chaotic and random systems
Abstract:
Fidelity is the overlap of a wave function, propagated by a Hamiltonian in time, with the same initial wave function, propagated by a perturbed wave function. Its behavior depends crucially on the choice of the initial wave function. In the talk we review two cases: If the initial state is random a simple analytic relation with parametric spectral correlations can be established. The latter can easier be measured, since no knowledge of the wave function is required. On the other hand, if the initial state is an eigenstate of the unperturbed system we find unexpected features like non-ergodicity. In this case fluctuations become important and the full fidelity distribution (FFD) becomes a non--trivial function. We calculated the FFD in the long time limit and for small perturbations.

Jan Kriz (Hradec Kralove)
E-Mail: jan.kriz@uhk.cz
Affiliation: University of Hradec Kralove, Rokitanskeho 62, CZ – 500 03 Hradec Kralove, Czech Republic
Title: Chaos in the brain
Abstract:
We describe several links between EEG data processing and quantum mechanics. Then we show examples of exploitation of methods commonly used in quantum chaos for EEG data analysis.

Pavel Kurasov (Stockholm)
E-Mail: pak@math.su.se
Affiliation: Mathematical Institute, Stockholm University, 106 91 Stockholm, Sweden
Title: Magnetic Schroedinger operators on graphs: spectra, inverse problems and applications
Abstract:
Magnetic Schroedinger operators on metric graphs as models for electron transport in nanowires will be discussed. It will be shown how the inverse spectral problem can be solved in the case of several cycles. New families of isospectral graphs and trees will be discussed. The results will be applied to model quantum transport in nanosystems. Theoretic and experimental observations will be compared.

Agnes Maurel (Paris)
E-Mail: agnes.maurel@espci.fr
Affiliation: Institut Langevin, Ondes et Images, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France.
Title: Experimental study of waves propagation using Fourier Transform Profilometry
Abstract:
We have developed recently an optical method able to quantitatively measure the field of surface elevation with a very good spatial and temporal resolutions. This allows for the study of several problems of wave propagation in complex medium, either in the context of water waves or surface waves. We will present recent results concerning resonances of water waves near floating object, wave turbulence in the context of water waves and bending waves and Time Reversal water waves. [1] P. Cobelli, V. Pagneux, A. Maurel & P. Petitjeans, Experimental study on water-wave trapped modes, J. Fluid Mech. 666, 445-476 (2011). [2] P. Cobelli, P. Petitjeans, A. Maurel, V. Pagneux & N. Mordant, Space-time resolved wave turbulence in a vibrating plate, Phys. Rev. Lett. 103 204301 (2009). [3] P. Cobelli, V. Pagneux, A. Maurel & P. Petitjeans, Experimental observation of trapped modes in water wave channel, Europhys. Letter 88, 20006 (2009).

Achim Richter (Darmstadt)
E-Mail: richter@ikp.tu-darmstadt.de
Affiliation: Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt, Germany, and the European Centre for Theoretical Studies in Nuclear Physics and Related Areas, I-38100 Villazzano (Trento), Italy
Title: Simulating graphene with a microwave photonic crystal
Abstract:
We have measured recently reflection and transmission spectra of a microwave photonic crystal consisting of 874 metallic cylinders arranged in form of a triangular lattice [1]. A cusp structure has been observed close to the expected Dirac frequency and related to the local density of states in the photonic crystal, providing clear evidence for the existence of a Dirac point which is a characteristic of relativistic massless fermions. Dirac points are also a peculiar property of the electronic band structure of Graphene [2] whose properties can thus be described by the relativistic Dirac equation [3-5]. It will be shown how several features of Graphene (dispersion relation, so-called edge states, pseudodiffusive transmission at the Dirac point) are modeled in photonic crystals. Furthermore, as a direct extension of the present work, the experimental investigation of properties of the eigenvalues and eigenfunctions of a superconducting Dirac billiard is discussed. The photonic crystal will thereby be placed in a closed resonator box [6,7]. [1] S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, and F. Schaefer, Phys. Rev. B 82, 014301 (2010). [2] A.K. Geim and K.S. Novoselov, Nature Mater. 6, 183 (2007). [3] P.R. Wallace, Phys. Rev. 71, 622 (1947). [4] G.W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984). [5] C.W.J Beenakker, Rev. Mod. Phys. 80, 1337 (2008). [6] M.V. Berry and R.J. Mondragon, Proc. R. Soc. Lond. A412, 53 (1987). [7] J. Wurm, A. Rycerz, I. Adagideli, M. Wimmer, K. Richter, and H.U Baranger, Phys. Rev. Lett. 102, 056806 (2009). Supported by the DFG within the SFB 634.

Dima Shepelyansky (Toulouse)
E-Mail: dima@irsamc.ups-tlse.fr
Affiliation: Laboratoire de Physique Theorique UMR 5152 du CNRS, IRSAMC Universite Paul Sabatier 118, Route de Narbonne F-31062 Toulouse Cedex 4, France
Title: Wigner crystal in snaked nanochannels
Abstract:
We study properties of Wigner crystal in snaked nanochannels and show that they are characterized by conducting sliding phase at low charge densities and insulating pinned phase emerging above a certain critical charge density. The transition between these phases has a devil's staircase structure typical for the Aubry transition in dynamical maps and the Frenkel-Kontorova model. We discuss implications of this phenomenon for charge density waves in quasi-one-dimensional organic conductors and for supercapacitors in nanopore materials.

Uzy Smilansky (Rehovot)
E-Mail: Uzy.Smilansky@weizmann.ac.il
Affiliation: Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot, 76100 IL
Title: Stationary scattering from a nonlinear network
Abstract:
Transmission through a complex network of nonlinear one-dimensional leads will be discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. We show that the existence of cycles inside the graph leads to a large number of sharp resonances that dominate scattering. The latter resonances are then shown to be extremely sensitive to the nonlinearity and display multistability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.

Gregor Tanner (Nottingham)
E-Mail: gregor.tanner@nottingham.ac.uk
Affiliation: School of Mathematical Sciences, University of Nottingham, NG72RD Nottingham, UK
Title: Wave intensity distributions in complex structures (Gregor Tanner, David Chappell, Stefano Giani, and Dmitrii Maksimov)
Abstract:
The vibro-acoustic response of mechanical structures can in general be well approximated in terms of linear wave equations. Standard numerical solution methods comprise the finite or boundary element method (FEM, BEM) in the low frequency regime and Statistical Energy Analysis (SEA) in the high-frequency limit. Major computational challenges are posed by the so-called mid-frequency problem - that is, composite structures where the local wave length may vary by orders of magnitude across the components. Recently, a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures improving on standard SEA has been proposed in [1]. The technique interpolates between SEA and ray tracing containing both these methods as limiting cases. The method has its origin in studying solutions of wave equation with an underlying chaotic ray-dynamics - often referred to as wave chaos. Within the new theory - Dynamical Energy Analysis (DEA) - SEA is identified as a low resolution ray tracing algorithm and typical SEA assumptions can be quantified in terms of the properties of the ray dynamics. We have furthermore developed a hybrid SEA/FEM method based on random wave model assumptions for the short-wavelength components. This makes it possible to tackle mid-frequency problems under certain constraints on the geometry of the structure. Extensions of the technique towards a DEA/FEM hybrid method will be discussed. DEA and SEA/FEM calculations for a range of multi-component model systems will be presented. The results are compared with both SEA results and FEM as well as BEM calculations. DEA emerges as a numerically efficient method for calculating mean wave intensities with a high degree of spatial resolution and capturing long range correlations in the ray dynamics. [1] G. Tanner, Dynamical energy analysis - Determining wave energy distributions in vibro-acoustical structures in the high-frequency regime, Journal of Sound and Vibration 320, 1023 (2009).

Bart van Tiggelen (Grenoble)
E-Mail: Bart.Van-Tiggelen@grenoble.cnrs.fr
Affiliation: LPMMC CNRS/UJF, Maison des Magisteres, BP 166 38042, Grenoble
Title: 3D Anderson localization of ultrasound and cold atoms
Abstract:
Anderson localization is a phenomenon that was introduced more than 50 ago by its creator P.W. Anderson to understand metal-insulator transitions in condensed matter. The huge impact it has had in condensed matter physics cannot be underestimated, recognized by the Nobel Prize in 1977. Yet, the experimental study of Anderson localization turned out very hard. Arguably, only when it was realized in the early eighties that Anderson localization of classical waves such as light and sound should exist, a new experimental activity started. In this presentation I will present a recent observation of Anderson localization with elastic waves in “mesoglass” structure. I will describe how this “unrecognizable monster” (a quote from Anderson himself) has revealed itself in our experiments: in the dynamics of the wave propagation, in the fluctuations of the speckles, in the confinement and the structure of the wave packet. I will mention how we describe, model and analyse these features theoretically: by modified transport theory, random matrices, multi-fractal analyses. THE theory does not exist; The best theories probably make the most severe approximations… The last revolution stems from cold atoms. Very controlled experiments can now be carried out with cold atoms expanding in disordered light speckle. These coherent matter waves have been seen to localize in low dimensions. We present some theoretical predictions on 3D cold atom localization. Work done in close collaboration with John Page (University of Manitoba), Sergey Skipetrov (LPMMC), Nicolas Cherroret (LPMMC), Sanli Faez, Ad Lagendijk (Amsterdam), Anna Minguzzi (LPMMC), Boris Shapiro (Technion) and Afifa Yedjour (LPMMC/Oran). For more information see http://www.andersonlocalization.com/. For recent reviews see: [1] A. Lagendijk, B.A. van Tiggelen and D. S. Wiersma, Fifty years of Anderson localization, Physics Today 62 (8), 24 (2009). [2] A. Aspect and M. Inguscio, Anderson localization of ultracold atoms, Physics Today 62 (8), 30 (2009).

Jakub Zakrzewski (Cracow)
E-Mail: kuba@if.uj.edu.pl
Affiliation: M. Smoluchowski Institute of Physics, Jagiellonian University, ul. Reymonta 4, PL-30-059 Cracow, Poland
Title: Extraction of information from dynamics for strongly correlated systems
Abstract:
A spectacular progress has been reached in ultra cold atomic systems recently. In particular, the observation of a quantum phase transition from superfluid phase to Mott insulator, as well as emergence of a Bose glass for disordered system, has served as a stimulus for an immense activity in the field. We show that, in a strict quantum mechanical sense, the adiabatic dynamics across the superfluid-insulator transition is far from being obvious. The nonadiabatic behavior is amplified for disordered systems. Still, analysis of the dynamically created wave-packet reveals that while excited states contribute significantly to the obtained dynamical state, their character, at least in some of the experiments, seems to be quite similar to that of the ground state. The consequences of the results for quantum simulator implementation are pointed out.

Karol Zyczkowski (Warsaw)
E-Mail: karol@cft.edu.pl
Affiliation: Center for Theoretical Physics PAS, al. Lotnikow 32/46, 02-668 Warszawa, Poland
Title: Level spacing distribution revisited (Karol Zyczkowski, Tomasz Tkocz, Marek Smaczynski, and Marek Kus)
Abstract:
Spectral properties of quantized chaotic systems can be described by the theory of random matrices. The distribution of the largest eigenvalue of a random hermitian matrix is described by the Tracy-Widom Law. An analogous problem of characterizing the extremal gaps between neighbouring eigenphases of random unitary matrices are analyzed. The spectral statistics are also investigated in the case of random unitary matrices with a tensor product structure, which represent evolution operators for non-interacting quantum composite systems.


Contributed Talks

(Click on a name for more information)
* to be confirmed

Lock Yue Chew (Singapore)
E-Mail: lockyue@ntu.edu.sg
Affiliation: Division of Physics and Applied Physics, Nanyang Technological University, PO Box: 21 Nanyang Link, SPMS-PAP-04-04 , Singapore
Title: The quantum signature of chaos through the dynamics of entanglement classically regular and chaotic systems
Abstract:
Quantum entanglement is an important resource in quantum information processing. The capability of preparing quantum states that are highly entangled is especially significant in applications such as quantum teleportation and superdense coding [1]. An approach to prepare such states is to examine the time evolution of quantum states generated by Hamiltonians of two-coupled oscillator systems. In this talk, I will present our recent investigation on the dynamics of entangled states which are generated by systems that are classically regular, mixed, and chaotic [2-3]. For systems that are classically regular, we found periodic entanglement which has twice the frequency of the corresponding classical motion. Such frequency doubling continues to hold true in the entanglement dynamics for a second model that exhibits a two-frequency orbit in the classical domain. Surprisingly, we found that a periodic classical trajectory can give rise to a quasi-periodic entanglement dynamics upon quantization. For a system that is chaotic, we have reaffirmed existing results that the entanglement production rate is higher when the classical system is more chaotic, i.e., the system possesses a more positive Lyapunov exponent [4]. When the system contains a mixed phase space, the entanglement dynamics is found to be insensitive to the choice of the initial conditions in the regular or the chaotic classical regime. In fact, we have demonstrated complete dependence of the dynamical pattern of entanglement on the global classical dynamical domain without being influenced by the local classical behavior in all the three classical regimes for the first time. While such global dependence is not necessary for all coupled oscillator systems, the nonlocal models that we have investigated have the advantage of generating an encoding subspace [5] that is stable against any errors in the preparation of the initial separable coherent states. Such a feature will be physically significant in the design of robust quantum information processing protocols. [1] M. Christandl, N. Schuch and A. Winter, Highly entangled states with almost no secrecy, Phys. Rev. Lett. 104, 240405 (2010). [2] N. N. Chung and L. Y. Chew, Dependence of entanglement dynamics on the global classical dynamical regime, Phys. Rev. A 80, 016204 (2009). [3] N. N. Chung and L. Y. Chew, Two- step approach to the dynamics of coupled anharmonic oscillator systems, Phys. Rev. A 80, 012103 (2009). [4] S.-H. Zhang and Q.-L. Jie, Quantum-classical correspondence in entanglement production: entropy and classical tori, Phys. Rev. A 77, 012312 (2009). [5] E. Ciancio and P. Zanardi, Coupling bosonic modes with a qubit: entanglement dynamics at zero and a finite temperature, Phys. Lett. A 360, 49 (2006).

Maciej Janowicz (Warsaw)
E-Mail: mjanow@ifpan.edu.pl
Affiliation: Institute of Physics PAS, al. Lotnikow 32/46, 02-668 Warszawa, Poland
Title: Quantum properties of coupled generalized logistic map lattices
Abstract:
Properties of quantized versions of coupled system of minimal non-singular symplectic generalizations of logistic maps have been investigated. It is shown that the behavior of such systems resembles that of Bose-Einstein condensates. In particular, the off-diagonal long range order and dominant eigenvalues of the reduced density matrices have been found.

Michal Lawniczak (Warsaw)
E-Mail: lawni@ifpan.edu.pl
Affiliation: Institute of Physics PAS, al. Lotnikow 32/46, 02-668 Warszawa, Poland
Title: Investigation of Wigner reaction matrix, cross- and velocity correlators for microwave networks (Michal Lawniczak, Szymon Bauch, Oleh Hul, Agata Borkowska, and Leszek Sirko)
Abstract:
Quantum graphs are excellent examples of quantum chaotic systems [1]. Experimentally, quantum graphs are simulated by microwave networks consisting of joints and microwave cables [2; 3]. This is possible due to an equivalency of the one-dimensional Schroedinger equation describing a quantum system and the telegraph equation describing an ideal microwave network. We present the results of the experimental studies of the distribution of the reflection coefficient and the distributions of the imaginary and the real parts of the Wigner reaction matrix for irregular fully connected microwave networks which simulate quantum graphs with broken time reversal symmetry. Quantum graphs with broken time reversal symmetry are simulated by microwave networks consisting microwave circulators. The measurements were performed as a function of absorption which was varied by using microwave attenuators. We present also our investigations of the cross-correlation function [4; 5]. For the systems with time reversal symmetry . In the case of the systems with broken time reversal symmetry . We show that the direct processes are responsible for the increase of the cross-correlation function. Furthemore, we present the results of the experimental studies of the autocorrelation functions of level velocities of the pentagonal microwave networks. [1]. T. Kottos and U. Smilansky, Phys. Rev. Lett. 79, 4794 (1997). [2]. O. Hul, S. Bauch, P. Pakonski, N. Savytskyy, K. Zyczkowski, and L. Sirko, Phys. Rev. E 69, 056205 (2004). [3]. M. Lawniczak, O. Hul, S. Bauch, P. Seba, and L. Sirko, Phys. Rev. E 77, 056210 (2008). [4]. M. Lawniczak, S. Bauch, O. Hul, and L. Sirko, Phys. Scr. T135, 014050 (2009). [5]. B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Schafer, and H. A. Weidenmuller, Phys. Rev E 81, 036205 (2010). Acknowledgments: This work was partially supported by the Ministry of Science and Higher Education grant no. N N202 130239.

Adam Sawicki (Bristol/Warsaw)
E-Mail: assawi@cft.edu.pl
Affiliation: Center for Theoretical Physics PAS, al. Lotnikow 32/46, 02-668 Warszawa, Poland; Department of Mathematics, University of Bristol, University Walk, Clifton, Bristol BS8 1TW, UK
Title: Scattering from isospectral graphs
Abstract:
In 1966 Marc Kac asked 'Can one hear the shape of a drum?'. The answer was given only in 1992, when Gordon et al. found a pair of drums with the same spectrum. The study of isospectrality and inverse problems is obviously not limited to drums and treats various objects such as molecules, quantum dots and graphs. In 2005 Okada et al. conjectured that isospectral drums can be distinguished by their scattering poles (resonances). We prove that this is not the case for isospectral quantum graphs, i.e., isospectral quantum graphs share the same resonance distribution. This is a joint work with Rami Band and Uzy Smilansky.

Filip Studnicka (Hradec Kralove)
E-Mail: filip.studnicka@uhk.cz
Affiliation: University of Hradec Kralove, Rokitanskeho 62, CZ – 500 03 Hradec Kralove, Czech Republic
Title: Analysation of biomedical signals using differential geometry invariants



Programme

Friday, May 20


19:00-21:00 Welcome party (Gromada Hotel - Turquoise Room)


Saturday, May 21


9:00-9:10 Leszek Sirko (Warsaw, Poland)

Opening


INVITED TALKS

9:10-9:45 Achim Richter (Darmstadt, Germany)

Simulating graphene with a microwave photonic crystal

9:45-10:20 Steven M. Anlage (College Park, USA)

Fading statistics in communications - A Random Matrix approach

10:20-10:55 Jakub Zakrzewski (Cracow, Poland)

Extraction of information from dynamics for strongly correlated systems

10:55-11:30 Heinerich Kohler (Madrid, Spain)

Fidelity in chaotic and random systems

11:30-12:00 coffee break

12:00-12:35 Dima Shepelyansky (Toulouse, France)

Wigner crystal in snaked nanochannels

12:35-13:10 Bart van Tiggelen (Grenoble, France)

3D Anderson localization of ultrasound and cold atoms

13:10-13:45 Gregor Tanner (Nottingham, UK)

Wave intensity distributions in complex structures

13:45- 14:45 lunch break

14:45-16:00 POSTER SESSION


CONTRIBUTED TALKS

16:00-16:20 Lock Yue Chew (Singapore)

The quantum signature of chaos through the dynamics of entanglement

16:20-16:40 Adam Sawicki (Warsaw, Poland and Bristol UK)

Scattering from isospectral graphs

16:40 Warsaw tour and conference dinner


Sunday, May 22


INVITED TALKS

9:00-9:35 Uzy Smilansky (Rehovot, Israel)

Stationary scattering from a nonlinear network

9:35-10:10 Yan Fyodorov (Nottingham, UK)

Examination of short orbit deviations from Random Matrix Scattering Theory

10:10-10:45 Pavel Kurasov (Stockholm, Sweden)

Magnetic Schrödinger operators on graphs: spectra, inverse problems and applications

10:45-11:20 Karol Życzkowski (Warsaw, Poland)

Level Spacing Distribution Revisited

11:20-11:50 coffee break

11:50-12:25 Andreas Buchleitner (Freiburg, Germany)

Transport, disorder, and entanglement

12:25-13:00 Jan Kříž (Hradec Králové, Czech Republic)

Chaos in the brain

13:00-13:35 Agnes Maurel (Paris, France)

Experimental study of waves propagation using Fourier Transform Profilometry

13:35-14:30 lunch break


CONTRIBUTED TALKS

14:30-14:50 Filip Studnička (Hradec Králové, Czech Republic)

Analysation of biomedical signals using differential geometry invariants

14:50-15:10 Michał Ławniczak (Warsaw, Poland)

Investigation of Wigner reaction matrix, cross- and velocity correlators for microwave networks

15:10-15:30 Maciej Janowicz (Warsaw, Poland)

Quantum properties of coupled generalized logistic map lattices

15:30-15:40 Closing remarks



Presentations

Invited Speakers:

Contributed Talks: