Analytic results for thermal correlation enhancement after a trap quench
Abstract
We investigate the nonequilibrium evolution of density correlations in a thermal one-dimensional Bose gas following a trap quench. We focus on the Tonks--Girardeau limit and develop an analytical description based on a finite-temperature extension of Quantum Generalized Hydrodynamics. We benchmark our predictions against exact numerics for a quench from a double well to a harmonic trap and for a trap release, and assess their temperature range of validity. Our results capture the dynamical enhancement of correlations during the expansion stages, namely the crossover from thermally suppressed to power-law bulk correlations. For the trap release, the conformal distance associated with fixed bulk points decreases as 1/t, so the correlations progressively probe a universal regime~∼1/x2 that is independent of temperature. We thus show that, in the hydrodynamic long-time regime, the bulk density correlations approach their zero-temperature equilibrium form independently of the initial temperature.
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BibTeX
@misc{li2026analytic,
title = {{Analytic results for thermal correlation enhancement after a trap quench}},
author = {Giorgio Li and Paola Ruggiero and Stefano Scopa},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21128},
eprint = {2609.21128},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21128},
}
RIS
TY - UNPB
TI - Analytic results for thermal correlation enhancement after a trap quench
AU - Giorgio Li
AU - Paola Ruggiero
AU - Stefano Scopa
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.21128
UR - https://arxiv.org/abs/2609.21128
AB - We investigate the nonequilibrium evolution of density correlations in a thermal one-dimensional Bose gas following a trap quench. We focus on the Tonks--Girardeau limit and develop an analytical description based on a finite-temperature extension of Quantum Generalized Hydrodynamics. We benchmark our predictions against exact numerics for a quench from a double well to a harmonic trap and for a trap release, and assess their temperature range of validity. Our results capture the dynamical enhancement of correlations during the expansion stages, namely the crossover from thermally suppressed to power-law bulk correlations. For the trap release, the conformal distance associated with fixed bulk points decreases as 1/t, so the correlations progressively probe a universal regime~∼1/x^2 that is independent of temperature. We thus show that, in the hydrodynamic long-time regime, the bulk density correlations approach their zero-temperature equilibrium form independently of the initial temperature.
ER -