Phases and dynamics of ultracold bosons in a tilted optical lattice
- URL: http://arxiv.org/abs/2109.02657v2
- Date: Mon, 13 Sep 2021 12:11:07 GMT
- Title: Phases and dynamics of ultracold bosons in a tilted optical lattice
- Authors: K. Sengupta
- Abstract summary: We present a brief overview of the phases and dynamics of ultracold bosons in an optical lattice in the presence of a tilt.
We chart the relation of this model to the recently studied system of ultracold Rydberg atoms.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a brief overview of the phases and dynamics of ultracold bosons in
an optical lattice in the presence of a tilt. We begin with a brief summary of
the possible experimental setup for generating the tilt. This is followed by a
discussion of the effective low-energy model for these systems and its
equilibrium phases. We also chart the relation of this model to the recently
studied system of ultracold Rydberg atoms. Next, we discuss the non-equilibrium
dynamics of this model for quench, ramp and periodic protocols with emphasis on
the periodic drive which can be understood in terms of an analytic, albeit
perturbative, Floquet Hamiltonian derived using Floquet perturbation theory
(FPT). Finally, taking cue from the Floquet Hamiltonian of the periodically
driven tilted boson chain, we discuss a spin model which exhibits Hilbert space
fragmentation and exact dynamical freezing for wide range of initial states.
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