The Quantum Chaos Group studies manifestations of classical chaos in properties of the corresponding quantum or more generally wave-dynamical systems. Such systems include microwave networks and cavities resonators, quantum graphs and billiards as well as atoms in strong electromagnetic fields. Properties of microwave and quantum graphs, and billiards depend very sensitively on the shapes of the systems and their classical analogues can exhibit chaotic, regular or mixed dynamics. We investigate quantum graphs and billiards in analog experiments using microwave networks and thin microwave resonators of corresponding shapes. Our experimental and theoretical investigations include the study of the statistical fluctuation properties of the eigenvalues, the manifestation of periodic orbits in quantum spectra, quantum chaotic scattering and isoscattering networks and graphs.
CURRENT SCIENTIFIC STAFF
PHD THESIS
CONTACT US OUR RESEARCH
 Department of non-linear phenomenas Institute of Physics PAS Warsaw - 2019
PUBLICATIONS
The Quantum Chaos Group studies manifestations of classical chaos in properties of the corresponding quantum or more generally wave-dynamical systems. Such systems include microwave networks and cavities resonators, quantum graphs and billiards as well as atoms in strong electromagnetic fields. Properties of microwave and quantum graphs, and billiards depend very sensitively on the shapes of the systems and their classical analogues can exhibit chaotic, regular or mixed dynamics. We investigate quantum graphs and billiards in analog experiments using microwave networks and thin microwave resonators of corresponding shapes. Our experimental and theoretical investigations include the study of the statistical fluctuation properties of the eigenvalues, the manifestation of periodic orbits in quantum spectra, quantum chaotic scattering and isoscattering networks and graphs.
CURRENT SCIENTIFIC STAFF
PAST PARTICIPANTS Dr Barbara Dietz-Pilatus Dr Oleh Hul Mgr inż. Agata Borkowska Dr Yuriy Hlushchuk Dr Nazar Savytskyy
PHD THESIS
CONTACT US OUR RESEARCH

Leszek Sirko

ResearcherID: P-3591-2016 

Micał Ławniczak

ResearcherID: A-1801-2017

Szymon Bauch

ResearcherID: N-9843-2013
Dr Vitalii Yunko Mgr Szymon Bauch Dr Michał Ławniczak Dr Małgorzata Białous Prof. Dr hab. Leszek Sirko

Vitalii Yunko

ResearcherID: S-5913-2016

Małgorzata Białous

ResearcherID: A-1828-2017
Institute of Physics, Polish Academy of Sciences Al. Lotników 32/46 PL-02-668 Warsaw, Poland Prof. Dr hab. Leszek Sirko sirko@ifpan.edu.pl   Mgr Szymon Bauch bauch@ifpan.edu.pl   Dr Michał Ławniczak lawni@ifpan.edu.pl   Dr Małgorzata Białous bialous@ifpan.edu.pl Dr Vitalii Yunko yunko@ifpan.edu.pl Telephone: ext. (+48 22) 116 XXXX int. 3385, 3187
Investigation of the elastic enhancement factor and 1/f α  noise in low-dimensional wave structures
Investigation of quantum chaos in open systems

VITALII YUNKO

MICHAŁ ŁAWNICZAK

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Zjawiska chaosu w symulowanych doświadczalnie grafach i bilardach kwantowych
Pomiar funkcji korelacji prędkości w eksperymentalnie i numerycznie symulowanych bilardach kwantowych
Zjawiska chaosu w eksperymentalnie symulowanych bilardach kwantowych

OLEH HUL

NAZAR SAVYTSKYY

YURIY HLUSHCHUK

2019
Investigation of the diagonal elements of the Wigner’s reaction matrix for networks with violated time reversal invariance Scientific Reports 9, 5630 (2019).
Experimental and numerical study of spectral properties of three-dimensional chaotic microwave cavities: The case of missing levels 11th Chaotic Modeling and Simulation International Conference. CHAOS 2018. Springer Proceedings in Complexity. Springer, Cham (2019).
Non-Weyl Microwave Graphs Phys. Rev. Lett. 122, 140503 (2019).
PUBLICATIONS
2018
 Department of non-linear phenomenas Institute of Physics PAS Warsaw - 2019
Missing-level statistics and analysis of the power spectrum of level fluctuations of three-dimensional chaotic microwave cavities, Phys. Rev. E 98, 012206 (2018).
2017
Analysis of missing level statistics for microwave networks simulating quantum chaotic graphs without time reversal symmetry — the case of randomly lost resonances, Acta Physica Polonica A, 132, 1672 (2017).
Nonuniversality in the spectral properties of time- reversal-invariant microwave networks and quantum graphs, Phys. Rev. E 95, 052202 (2017).
2016
Long-range correlations in rectangular cavities containing point-like perturbations, Phys. Rev. E 94, 042211 (2016).
M. Ławniczak, S. Bauch, and L. Sirko, in Handbook of Applications of Chaos Theory, edited by C. H. Skiadas and C. Skiadas (CRC, Boca Raton, FL, 2016), p. 559.
Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance,  Phys. Rev. Lett. 117, 144101 (2016).
M.Torleif E. O. Ericson (1) , Barbara Dietz (2,3) , and Achim Richter (2) Cross-section fluctuations in chaotic scattering systems, Phys. Rev. E 94, 042207 (2016). 1.Theory Department, CERN, CH-1211 Geneva, Switzerland 2.Institut fur Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany 3.Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, 02-668 Warsaw, Poland
2015
Microwave networks as a tool for invetigating isoscattering phenomena, Acta Physica Polonica B, 46, 1897 (2015).
Numerical and Experimental Studies of the Elastic Enhancement Factor for 2D Open Systems, Acta Physica Polonica A, 128, 974 (2015).
Experimental investigation of the elastic enhancement factor in a transient region between regular and chaotic dynamics, Phys. Rev. E 91, 032925 (2015).
2014
Resonances and poles in isoscattering microwave networks and graphs, Phys. Rev. E 89, 032911 (2014).
Experimental investigation of the scattering fidelity in microwave networks simulating quantum graphs, Phys. Scr. T160, 014025 (2014).
2013
Experimental and numerical determination of the correlation function of level velocities for microwave networks simulating quantum graphs, Phys. Scr. T153, 014041 (2013).
Isoscattering Microwave Networks - The Role of the Boundary Conditions, Acta Physica Polonica A, vol 124, 1078 (2013).
"Are scattering properties of networks uniquely connected to their shapes?", Low-Dimensional Functional Materials in NATO Science for Peace and Security Series B: Physics and Biophysics Ser., Eds. Davron Matrasulov, Khamdam Rakhimov, Reinhold Egger, Springer (2013).
2012
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?, Phys. Rev. Lett. 109, 040402 (2012).
Experimental investigation of microwave networks simulating quantum chaotic systems: the role of direct processes, Phys. Scr. T147, 014018 (2012).
Experimental and numerical determination of the correlation function of level velocities for microwave networks simulating quantum graphs, Phys. Scr. T151, 000000 (2012).
2011
Experimantal determination of the autocorrelation function of level velocities of microwave networks simulating quantum graphs, Acta Phys. Pol. A 120, 185 (2011).
Experimental investigation of the enhancement factor and the cross-correlation function for graphs with and without time-reversal symmetry: the open system case, Phys. Scr. T143, 014014 (2011).
Parameter-dependent spectral statistics of chaotic quantum graphs: Neumann versus circular orthogonal ensemble boundary conditions, Phys. Rev. E 83, 066204 (2011).
2010
Experimental investigation of the enhancement factor for microwave irregular networks with preserved and broken time reversal symmetry in the presence of absorption, Phys. Rev. E 81, 046204 (2010).
2009
Experimental and numerical studies of one-dimensional and three-dimensional chaotic open systems, Acta Phys. Pol. A 116, 749 (2009).
Investigation of parameter-dependent properties of quantum graphs with and without time-reversal symmetry, Phys. Scr. T135, 014048 (2009).
Experimental investigation of properties of hexagon networks with and without time reversal symmetry, Phys. Scr. T135, 014050 (2009).
Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory, Phys. Rev. E 79, 066204 (2009).
2008
Investigation of nodal domains in a chaotic three- dimensional microwave rough billiard with the translational symmetry, Physics Letters A 372, 1851-1855 (2008).
Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption, Physical Review E 77, 056210 (2008).
Simulation of quantum graphs by microwave networks, Symposia in Pure Mathematics 77, 595 (2008).
2007
Experimental investigation of electric field distributions in a chaotic three-dimensional microwave rough billiard, Phys. Rev. E 75, 037202 (2007).
Experimental investigation of reflection coefficient and Wigner's reaction matrix for microwave graphs, Acta Phys. Pol. A 112, 655 (2007).
2006
Nodal domains in chaotic microwave rough billiards with and without ray-splitting properties, Acta Phys. Pol. A 109, 73 (2006).
2005
Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption, J. Phys. A: Math. Gen. 38 10489-10496 (2005).
Investigation of nodal domains in the chaotic microwave ray-splitting rough billiard, Phys. Rev. E, 72, 066212 (2005).
2004
Experimental investigation of nodal domains in the chaotic microwave rough billiard, Phys. Rev. E 70, 056209 (2004).
Experimental simulation of quantum graphs by microwave networks, Phys. Rev. E 69, 056205 (2004).
2003
Dependence on relative phase for bichromatically driven atoms,  J. Phys. B 36, 4755-4772 (2003).
2002
Properties of eigenfunctions in the quantum cantori regime, Acta Phys. Pol. B 33, 2123 (2002).
Biochemical analysis of transgenic tobacco lines producing bacterial serine acetyltransferase, Plant Science 162, 589- 97 (2002).
Investigation of the quantum cantori regime in quarter- stadium billiards, Phys. Rev. E 65, 066202-1 (2002).
Control of common resonances in bichromatically driven hydrogen atoms, Phys. Rev. Lett. 89, 274101-1 (2002).
2001
Use of the relative phase in a bichromatic field pulse to control a quasienergy gap, Phys. Rev. Lett. 87, 043002-1 (2001).
Parametric correlations of the energy levels of ray- splitting billiards, Phys. Rev. E 6403, 6211 (2001).
Numerical investigation of regimes of Wigner and Shnirelman ergodicity in rough billiards, Physica Scripta 64, 192-196 (2001).
Experimental investigation of a regime of Wigner ergodicity in microwave rough billiards, Phys. Rev. E 63, 046208 (2001).
Ray-splitting billiards, Found. Phys. 31, 269 (2001).
2000
Autocorrelation function of level velocities for ray-splitting billiards, Phys. Rev. E 61, 366-369 (2000).
Observation of dynamical localization in a rough microwave cavity, Phys. Lett. A 266, 331-335 (2000).
1998
Microwave ionization of hydrogen atoms: quantum decay rates and classical phase-space structures, J. Phys. B 31, 1 (1998).
Signature of non-Newtownian orbits in ray splitting cavities, Phys. Rev. E 57, 304 (1998).
1997
Experimental identification of non-Newtownian orbits produced by ray splitting in a dielectric-loaded microwave cavity, Phys. Rev. Lett. 78, 2940 (1997).
1996
Practical tests with irregular and regular finite spectra of a proposed statistical measure for quantum chaos, Phys. Rev. E 54, R21 (1996).
Microwave "ionization" of excited hydrogen atoms: Frequency - dependence in a resonance zone, Europhys. Lett. 33, 181 (1996).
1995
The pendulum approximation for the main quantal resonance zone in periodically driven hydrogen atoms, Applied Phys. B 60, S195 (1995).
Statistical properties of eigenfrequency distribution of three-dimensional microwave cavities, Phys. Rev. E 52, 1146 (1995).
1994
Prediction of a new peak in two-frequency microwave "ionization" of excited hydrogen atoms, Phys. Rev. Lett. 73, 248-51 (1994).
Microwave ionization of Rb Rydberg atoms: Frequency- dependence, Phys. Rev. A 49, 3831-41 (1994).
1993
Probing quantal dynamics of mixed phase space systems with noise, Phys. Rev. Lett. 71, 2895-98 (1993).
"Ionization" of excited hydrogen atoms by a strong microwave field and the influence of additive noise; The Third Drexel Symposium on Quantum Nonintegrability, Proceedings edited by J.-M. Yuan, D.H. Feng, and G.M. Zaslavsky (Gorgon and Breach, Langhorne, PA, 1993).
Microwave-driven He Rydberg atoms: Floquet-state degeneracy lifted by a second frequency, Stueckelberg oscillations, and their destruction by added noise, Phys. Rev. A 47, R782-5 (1993).
1992
Stueckelberg oscillations in the multiphoton excitation of helium Rydberg atoms: observation with a pulse of coherent field and suppression by additive noise, Phys. Rev. Lett. 69, 1919-22 (1992).
Electric-field dependence of E1 transitions between highly excited hydrogen Stark sublevels, Phys. Rev. A 46, 5836- 44 (1992).
1991
Dynamical localization in the microwave interaction of Rydberg atoms: The influence of noise, Phys. Rev. A 44, 4521 (1991).
Dynamical localization in the microwave interaction of Rydberg atoms and the influence of noise and bichromatic fields, Quantum Chaos (World Scientific, Singapore, 1991) 395-408 (1991).
Rydberg atoms in bichromatic microwave fields, Europhys. Lett. 16, 35-40 (1991).
Some remarks and calculations concerning collisional fine structure mixing in alkali metal atoms, Acta Physica Polonica A 79, 543-8(1991).
Theory of collisionally induced nlJ -> nlJ' transitions in Rydberg states of alkalis, J. Phys. B 24, L75-9 (1991).
1990
Rabi nutations of four- and six- photon transitions between Rydberg states, Opt. Comm. 78, 403-6 (1990).
1989
Microwave excitation of Rydberg atoms in the presence of noise, Phys. Rev. Lett. 62, 341(1989).
1988
Level broadening cross sections for nP1/2 Rydberg states of Na, K and Rb atoms, J. Phys. B 21, 2585 (1988).
1987
Semiclassical evaluation of fine-structure mixing cross sections for K and Rb atoms excited to higher nP states, J. Phys. B 20, L487 (1987).
1986
Semiclassical evaluation of fine-structure mixing cross sections for Rb and Cs atoms excited to higher nD states, J. Phys. B 19, L279 (1986).
1985
Fine-structure mixing in Cs atoms excited to intermediate nD states colliding with ground state Cs atoms, J. Phys. B 18, L221 (1985).
1982
Wavefront phase modulation in bleached holographic emulsion, Opt. Comm. 41, 497 (1982).
1981
Essential features of the bleached silver halide holographic materials, Opt. Comm. 37, 165 (1981).
Experimental investigation of the elastic enhancement factor in a microwave cavity emulating a chaotic scattering system with varying openness, Phys. Rev. E 100, 012210 (2019).
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