Classical verification of a quantum simulator: local relaxation of a 1D
Bose gas
- URL: http://arxiv.org/abs/2401.05301v1
- Date: Wed, 10 Jan 2024 18:07:03 GMT
- Title: Classical verification of a quantum simulator: local relaxation of a 1D
Bose gas
- Authors: Paul Secular
- Abstract summary: Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas.
I classically verify the results by calculating the evolution of the same quasi-local observables up to the time at which they appear "fully relaxed"
I show that local densities and currents can be calculated in a matter of days rather than weeks.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in
an optical lattice to simulate the local relaxation dynamics of a strongly
interacting Bose gas "for longer times than present classical algorithms can
keep track of". Here, I classically verify the results of this analog quantum
simulator by calculating the evolution of the same quasi-local observables up
to the time at which they appear "fully relaxed". Using a parallel
implementation of the time-evolving block decimation (TEBD) algorithm to
simulate the system on a supercomputer, I show that local densities and
currents can be calculated in a matter of days rather than weeks. The precision
of these numerics allows me to observe deviations from the conjectured
power-law decay and to determine the effects of the harmonic trapping
potential. As well as providing a robust benchmark for future experimental,
theoretical, and numerical methods, this work serves as an example of the
independent verification process.
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