Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
arXiv:2209.12510 · doi:10.22331/q-2023-02-09-917
Abstract
The quantum kicked rotor is well-known for displaying dynamical (Anderson) localization. It has recently been shown that a periodically kicked Tonks gas will always localize and converge to a finite energy steady-state. This steady-state has been described as being effectively thermal with an effective temperature that depends on the parameters of the kick. Here we study a generalization to a quasi-periodic driving with three frequencies which, without interactions, has a metal-insulator Anderson transition. We show that a quasi-periodically kicked Tonks gas goes through a dynamical many-body delocalization transition when the kick strength is increased. The localized phase is still described by a low effective temperature, while the delocalized phase corresponds to an infinite-temperature phase, with the temperature increasing linearly in time. At the critical point, the momentum distribution of the Tonks gas displays different scaling at small and large momenta (contrary to the non-interacting case), signaling a breakdown of the one-parameter scaling theory of localization.
v1) 12 pages, 17 figures; v2) 12 pages, 16 figures, some references added
References in corpus (18)
- Anderson Transitions
- Phenomenology of fully many-body-localized systems
- Many-body localization in periodically driven systems
- Destruction of Anderson localization by a weak nonlinearity
- Periodically driven ergodic and many-body localized quantum systems
- Universal spreading of wavepackets in disordered nonlinear systems
- Fermionization in an expanding 1D gas of hard-core bosons
- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Universal contact for a Tonks-Girardeau gas at finite temperature
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
- Interaction-driven breakdown of dynamical localization in a kicked quantum gas
- Dynamics of the mean-field interacting quantum kicked rotor
- Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
- Effective thermalization of a many-body dynamically localized Bose gas
- Dynamical localization of interacting bosons in the few-body limit
- Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition