Energy-space random walk in a driven disordered Bose gas
- URL: http://arxiv.org/abs/2309.12308v1
- Date: Thu, 21 Sep 2023 17:59:16 GMT
- Title: Energy-space random walk in a driven disordered Bose gas
- Authors: Yansheng Zhang, Gevorg Martirosyan, Christopher J. Ho, Ji\v{r}\'i
Etrych, Christoph Eigen, Zoran Hadzibabic
- Abstract summary: Motivated by the experimental observation that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, we study this system.
We present a semi-classical model that captures the simulation results and allows an understanding of the dynamics in terms of an energy-space random walk.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Motivated by the experimental observation [1] that driving a non-interacting
Bose gas in a 3D box with weak disorder leads to power-law energy growth, $E
\propto t^{\eta}$ with $\eta=0.46(2)$, and compressed-exponential momentum
distributions that show dynamic scaling, we perform systematic numerical and
analytical studies of this system. Schr\"odinger-equation simulations reveal a
crossover from $\eta \approx 0.5$ to $\eta \approx 0.4$ with increasing
disorder strength, hinting at the existence of two different dynamical regimes.
We present a semi-classical model that captures the simulation results and
allows an understanding of the dynamics in terms of an energy-space random
walk, from which a crossover from $E \propto t^{1/2}$ to $E \propto t^{2/5}$
scaling is analytically obtained. The two limits correspond to the random walk
being limited by the rate of the elastic disorder-induced scattering or the
rate at which the drive can change the system's energy. Our results provide the
theoretical foundation for further experiments.
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