In the initial part of the talk an extended overview will be presented on individual and collective spins, the states of the collective spin, squeezing the collective spin states. We will also talk about different spin squeezing mechanisms including one axis twisting (OAT), and two axis countertwisting (TACT) spin squeezing models. Subsequently we will discuss possibilities to produce spin squeezing for spinful atomic fermions in optical lattices It is shown that by applying laser radiation one can simulate not only OAT but also TACT spin squeezing models, the latter TACT model providing better squeezing. The spin squeezing generated in this way is mediated by spin waves playing a role of the intermediate states facilitating the squeezing process. The spin squeezing can be used for increasing sensitivity of atomic clocks.

More about this work:
Phys. Rev. Lett. 129, 090403 (2022)
Phys. Rev. B 108, 104301 (2023)