Benchmarks of Generalized Hydrodynamics for 1D Bose Gases

Abstract

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance against an array of alternative theoretical methods, for an interacting one-dimensional Bose gas described by the Lieb-Liniger model. In particular, we study the evolution of both a localized density bump and dip, along with a quantum Newton's cradle setup, for various interaction strengths and initial equilibrium temperatures. We find that GHD generally performs very well at sufficiently high temperatures or strong interactions. For low temperatures and weak interactions, we highlight situations where GHD, while not capturing interference phenomena on short lengthscales, can describe a coarse-grained behaviour based on convolution averaging that mimics finite imaging resolution in ultracold atom experiments. In a quantum Newton's cradle setup based on a double-well to single-well trap quench, we find that GHD with diffusive corrections demonstrates excellent agreement with the predictions of a classical field approach.

8 pages, 4 figures, plus 6 pages of Supplemental Material

References in corpus (15)

• Thermalization and its mechanism for generic isolated quantum systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Experimental Observation of a Generalized Gibbs Ensemble
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Bosonizing one-dimensional cold atomic gases
• Extension of Bogoliubov theory to quasi-condensates
• Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
• Generalized TBA and generalized Gibbs
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• A short introduction to Generalized Hydrodynamics
• Two-body momentum correlations in a weakly interacting one-dimensional Bose gas
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
• Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate

Cited by in corpus (8)

• A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
• Characterising transport in a quantum gas by measuring Drude weights
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Identifying diffusive length scales in one-dimensional Bose gases
• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Quantum fluctuating theory for one-dimensional shock waves
• Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas
• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas