The kicked rotor system is a textbook example of how classical and quantum dynamics can drastically differ. The energy of a classical particle confined to a ring and kicked periodically will increase linearly in time whereas in the quantum version the energy saturates after a finite number of kicks. The quantum system undergoes Anderson localization in angular-momentum space. Conventional wisdom says that in a many-particle system with short-range interactions the localization will be destroyed due to the coupling of widely separated momentum states. Here we provide evidence that for an interacting one-dimensional Bose gas, the Lieb-Liniger model, the dynamical localization can persist at least for an unexpectedly long time.

}, keywords = {Quantum Physics, Thermodynamics}, doi = {10.1103/PhysRevLett.124.155302}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.155302}, author = {Rylands, Colin and Rozenbaum, Efim B. and Galitski, Victor and Konik, Robert} } @article {ISI:000482580900004, title = {Quantum work of an optical lattice}, journal = {Phys. Rev. B}, volume = {100}, number = {6}, year = {2019}, month = {AUG 26}, pages = {064308}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {A classic example of a quantum quench concerns the release of an interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied; however, the global properties of these nonequilibrium quantum systems have received far less attention. Here we study several aspects of global nonequilibrium behavior by calculating the amount of work done by the quench as measured through the work distribution function. Using Bethe ansatz techniques, we determine the Loschmidt amplitude and work distribution function of the Lieb-Liniger gas after it is released from an optical lattice. We find the average work and its universal edge exponents from which we determine the long-time decay of the Loschmidt echo and highlight striking differences caused by the interactions as well as changes in the geometry of the system. We extend our calculation to the attractive regime of the model and show that the system exhibits properties similar to the super-Tonks-Girardeau gas. Finally, we examine the prominent role played by bound states in the work distribution and show that, with low probability, they allow for work to be extracted from the quench.}, issn = {2469-9950}, doi = {10.1103/PhysRevB.100.064308}, author = {Rylands, Colin and Andrei, Natan} }