Quantum Generalized Hydrodynamics

Paola Ruggiero; Pasquale Calabrese; Benjamin Doyon; Jérôme Dubail

doi:10.1103/PhysRevLett.124.140603

Quantum Generalized Hydrodynamics

Paola Ruggiero, Pasquale Calabrese, Benjamin Doyon, Jérôme Dubail

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Abstract

Physical systems made of many interacting quantum particles can often be described by Euler hydrodynamic equations in the limit of long wavelengths and low frequencies. Recently such a classical hydrodynamic framework, now dubbed generalized hydrodynamics (GHD), was found for quantum integrable models in one spatial dimension. Despite its great predictive power, GHD, like any Euler hydrodynamic equation, misses important quantum effects, such as quantum fluctuations leading to nonzero equal-time correlations between fluid cells at different positions. Focusing on the one-dimensional gas of bosons with delta repulsion, and on states of zero entropy, for which quantum fluctuations are larger, we reconstruct such quantum effects by quantizing GHD. The resulting theory of quantum GHD can be viewed as a multicomponent Luttinger liquid theory, with a small set of effective parameters that are fixed by the thermodynamic Bethe ansatz. It describes quantum fluctuations of truly nonequilibrium systems where conventional Luttinger liquid theory fails.

Original language	English
Article number	140603
Journal	Physical Review Letters
Volume	124
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.124.140603
Publication status	Published - 9 Apr 2020

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Quantum Generalized Hydrodynamics

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