Quantum Matter Seminar
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 - dynamical localization. The quantum system undergoes Anderson localization in the 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. In this talk, I will provide arguments that for an interacting one-dimensional Bose gas, the Lieb-Linger model, the dynamical localization can persist [1]. I also will discuss a recent experiment where some aspects of this phenomenon were probed [2].
Refs:
[1] C. Rylands, E. Rozenbaum, VG, R. Konik, Phys. Rev. Lett. 124, 155302 (2020)
[2] A. Cao, ..., VG, D. Weld, Nature Physics volume 18, pages 1302–1306 (2022)