Benchmarks of generalized hydrodynamics for one-dimensional Bose gases

Watson, R. S.; Simmons, S. A.; Kheruntsyan, K. V.

doi:10.1103/physrevresearch.5.l022024

Cited by 5 publications

(2 citation statements)

References 85 publications

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“…In terms of future outlook, we note that the c-field approach employed here is limited to only the weakly interacting regime of the 1D Bose gas [34]. Thus, future work could utilize alternate theoretical approaches, such as generalized hydrodynamics (GHD) [88][89][90], to explore the finite-time performance of the proposed engine across a much broader available parameter space of interaction strength and temperature in a 1D Bose gas [57,64]. Further, conducting a similar analysis with a weakly interacting quasicondensate as the working fluid and a strongly interacting Tonks-Girardeau gas as the thermal reservoirs, or vice versa, could be another interesting scenario to address.…”

Section: Discussionmentioning

confidence: 99%

A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases

Nautiyal,

Watson,

Kheruntsyan

2024

New J. Phys.

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We undertake a theoretical study of a finite-time quantum Otto engine cycle driven by inter-particle interactions in a weakly interacting one-dimensional (1D) Bose gas in the quasicondensate regime. Utilizing a c-field approach, we simulate the entire Otto cycle, i.e. the two work strokes and the two equilibration strokes. More specifically, the interaction-induced work strokes are modelled by treating the working fluid as an isolated quantum many-body system undergoing unitary evolution. The equilibration strokes, on the other hand, are modelled by treating the working fluid as an open quantum system tunnel-coupled to another quasicondensate which acts as either the hot or cold reservoir, albeit of finite size. We find that, unlike a uniform 1D Bose gas, a harmonically trapped quasicondensate cannot operate purely as a heat engine; instead, the engine operation is enabled by additional chemical work performed on the working fluid, facilitated by the inflow of particles from the hot reservoir. The microscopic treatment of dynamics during equilibration strokes enables us to evaluate the characteristic operational time scales of this Otto thermochemical engine, crucial for characterizing its power output, without any ad hoc assumptions about typical thermalization timescales. We analyse the performance and quantify the figures of merit of the proposed Otto thermochemical engine, finding that it offers a favourable trade-off between efficiency and power output, particularly when the interaction-induced work strokes are implemented via a sudden quench. We further demonstrate that in the sudden quench regime, the engine operates with an efficiency close to the near-adiabatic (near maximum efficiency) limit, while concurrently achieving maximum power output.

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Section: Discussionmentioning

confidence: 99%

A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases

Nautiyal,

Watson,

Kheruntsyan

2024

New J. Phys.

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“…At such length scales, higher order (e.g. dispersive) corrections become relevant for dynamics [64][65][66][67]. Further, from an experimental perspective, length scales on that order are typically not resolvable by the available imaging techniques.…”

Section: Calculating Diffusive Length Scalesmentioning

confidence: 99%

Identifying diffusive length scales in one-dimensional Bose gases

Møller,

Cataldini,

Schmiedmayer

2024

SciPost Phys. Core

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In the hydrodynamics of integrable models, diffusion is a subleading correction to ballistic propagation. Here we quantify the diffusive contribution for one-dimensional Bose gases and find it most influential in the crossover between the main thermodynamic regimes of the gas. Analysing the experimentally measured dynamics of a single density mode, we find diffusion to be relevant only for high wavelength excitations. Instead, the observed relaxation is solely caused by a ballistically driven dephasing process, whose time scale is related to the phonon lifetime of the system and is thus useful to evaluate the applicability of the phonon bases typically used in quantum field simulators.

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The theory of generalised hydrodynamics for the one-dimensional Bose gas

Kerr,

Kheruntsyan

2023

AAPPS Bull.

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This article reviews the recent developments in the theory of generalised hydrodynamics (GHD) with emphasis on the repulsive one-dimensional Bose gas. We discuss the implications of GHD on the mechanisms of thermalisation in integrable quantum many-body systems as well as its ability to describe far-from-equilibrium behaviour of integrable and near-integrable systems in a variety of quantum quench scenarios. We outline the experimental tests of GHD in cold-atom gases and its benchmarks with other microscopic theoretical approaches. Finally, we offer some perspectives on the future direction of the development of GHD.

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Benchmarks of generalized hydrodynamics for one-dimensional Bose gases

Cited by 5 publications

References 85 publications

A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases

A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases

Identifying diffusive length scales in one-dimensional Bose gases

The theory of generalised hydrodynamics for the one-dimensional Bose gas

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