Restoring coherence via aperiodic drives in a many-body quantum system
- URL: http://arxiv.org/abs/2002.08683v2
- Date: Fri, 21 Feb 2020 09:10:21 GMT
- Title: Restoring coherence via aperiodic drives in a many-body quantum system
- Authors: Bhaskar Mukherjee, Arnab Sen, Diptiman Sen, and K. Sengupta
- Abstract summary: We study the unitary dynamics of randomly or quasi-periodically driven tilted Bose-Hubbard (tBH) model in one dimension deep inside its Mott phase.
We show that starting from a regime where the periodic drive leads to rapid thermalization, a random drive, which consists of a random sequence of square pulses with period $T+alpha dT$, restores coherent oscillations for special values of $dT$.
A similar phenomenon can be seen for a quasi-periodic drive following a Thue-Morse sequence where such coherent behavior is shown to occur for a larger number of points in the $
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the unitary dynamics of randomly or quasi-periodically driven tilted
Bose-Hubbard (tBH) model in one dimension deep inside its Mott phase starting
from a $\mathbb{Z}_2$ symmetry-broken state. The randomness is implemented via
a telegraph noise protocol in the drive period while the quasi-periodic drive
is chosen to correspond to a Thue-Morse sequence. The periodically driven tBH
model (with a square pulse protocol characterized by a time period $T$) is
known to exhibit transitions from dynamical regimes with long-time coherent
oscillations to those with rapid thermalization. Here we show that starting
from a regime where the periodic drive leads to rapid thermalization, a random
drive, which consists of a random sequence of square pulses with period
$T+\alpha dT$, where $\alpha=\pm 1$ is a random number and $dT$ is the
amplitude of the noise, restores long-time coherent oscillations for special
values of $dT$. A similar phenomenon can be seen for a quasi-periodic drive
following a Thue-Morse sequence where such coherent behavior is shown to occur
for a larger number of points in the $(T, dT)$ plane due to the additional
structure of the drive protocol. We chart out the dynamics of the system in the
presence of such aperiodic drives, provide a qualitative analytical
understanding of this phenomenon, point out the role of quantum scars behind
it, and discuss experiments which can test our theory.
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