High Temperature Virial Expansion to Universal Quench Dynamics

Abstract

High temperature virial expansion is a powerful tool in equilibrium statistical mechanics. In this letter we generalize the high temperature virial expansion approach to treat far-from-equilibrium quench dynamics. As an application of our framework, we study the dynamics of a Bose gas quenched from non-interacting to unitarity, and we compare our theoretical results with unexplained experimental results by the Cambridge group [Eigen et al., Nature 563, 221 (2018)]. We show that, during the quench dynamics, the momentum distribution decreases for low-momentum part with $k<k^{\ast }$, and increases for high-momentum part with $k>k^{\ast }$, where $k^{\ast }$ is a characteristic momentum scale separating the low- and the high-momentum regimes. We determine the universal value of $k^{\ast }\lambda$ that agrees perfectly with the experiment, with $\lambda$ being the thermal de Broglie wave length. We also find a jump of the half-way relaxation time across $k^{\ast }\lambda$ and the non-monotonic behavior of energy distribution, both of which agree with the experiment. Finally, we address the issue whether the long-time steady state thermalizes or not, and we find that this state does thermalize except for the very high momentum tail with $k\lambda \gg 1$. Our framework can also be applied to quench dynamics in other systems.

arXiv comment6 pages, 4 figures

References in corpus (51)

• Many-body localization, thermalization, and entanglement
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Large momentum part of fermions with large scattering length
• Exploring the Thermodynamics of a Universal Fermi Gas
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• Universal dynamics of a degenerate unitary Bose gas
• Observation of a pairing pseudogap in a two-dimensional Fermi gas
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Measuring topology by dynamics: Chern number from linking number
• Virial expansion for a strongly correlated Fermi gas
• Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
• Uncover Topology by Quantum Quench Dynamics
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• High temperature expansion applied to fermions near Feshbach resonance
• Lifetime of the Bose Gas with Resonant Interactions
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Stability of a unitary Bose gas
• Spectral response and contact of the unitary Fermi gas
• Temperature dependence of the contact in a unitary Fermi gas
• Visualizing Efimov Correlations in the Bose Polaron
• Quenching to unitarity: Quantum dynamics in a 3D Bose gas
• Universal Scaling Laws in the Dynamics of a Homogeneous Unitary Bose Gas
• Contact and sum-rules in a near-uniform Fermi gas at unitarity
• Virial expansion with Feynman diagrams
• A new field theoretic method for the virial expansion
• Pair Correlations in the Two-Dimensional Fermi Gas
• Quench dynamics of a strongly interacting resonant Bose gas
• Bound-state signatures in quenched Bose-Einstein condensates
• Bulk viscosity and contact correlations in attractive Fermi gases
• High-temperature expansion of the viscosity in interacting quantum gases
• Dynamics of three-body correlations in quenched unitary Bose gases
• Pairing effects in the non-degenerate limit of the two-dimensional Fermi gas
• Efimov Physics in Quenched Unitary Bose Gases
• Viscosity spectral functions of resonating fermions in the quantum virial expansion
• Third virial coefficient of the unitary Bose gas
• Equilibrating dynamics in quenched Bose gases: characterizing multiple time regimes
• Efimov correlations in strongly interacting Bose gases
• Nonequilibrium States of a Quenched Bose Gas
• Post-quench dynamics and pre-thermalization in a resonant Bose gas
• Prethermalization to thermalization crossover in a dilute Bose gas following an interaction ramp
• High-temperature expansion for interacting fermions
• Enhancing the Efimov correlation in Bose polarons with large mass imbalance
• Universal Dynamics of a Degenerate Bose Gas Quenched to Unitarity
• Early-time dynamics of Bose gases quenched into the strongly interacting regime
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Dynamical formation of the unitary Bose gas
• Pair formation in quenched unitary Bose gases
• Dynamical Fractal in Quantum Gases with Discrete Scaling Symmetry
• Quenched dynamics of the momentum distribution of the unitary Bose gas

Cited by in corpus (7)

• Bose-Einstein condensation of Efimovian triples in the unitary Bose gas
• Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics
• Maximum Energy Growth Rate in Dilute Quantum Gases
• Complex scaling flows in the quench dynamics of interacting particles
• Two-Body Contact Dynamics in a Bose Gas near a Fano-Feshbach Resonance
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter
• Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach