Nonequilibrium States of a Quenched Bose Gas

Abstract

Yin and Radzihovsky [1] recently developed a self-consistent extension of a Bogoliubov theory, in which the condensate number density $n_c$ is treated as a mean field that changes with time, in order to analyze a JILA experiment by Makotyn et al. [2] on a ${}^{85}$Rb Bose gas following a deep quench to a large scattering length. We apply this theory to construct a closed set of equations that highlight the role of ${\dot{n}}_c$, which is to induce an effective interaction between quasiparticles. We show analytically that such a system supports a steady state characterized by a constant condensate density and a steady but periodically changing momentum distribution, whose time average is described exactly by the generalized Gibbs ensemble. We discuss how the ${\dot{n}}_c$-induced effective interaction, which cannot be ignored on the grounds of the adiabatic approximation for modes near the gapless Goldstone mode, can significantly affect condensate populations and Tan's contact for a Bose gas that has undergone a deep quench.

12 pages, 6 figures; v2: significantly expanded

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Cited by in corpus (22)

• Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
• Strongly correlated Bose gases
• Bound-state signatures in quenched Bose-Einstein condensates
• Post-quench dynamics and pre-thermalization in a resonant Bose gas
• Ballistic quench-induced correlation waves in ultracold gases
• Dynamical excitation of maxon and roton modes in a Rydberg-Dressed Bose-Einstein Condensate
• Universal Dynamics of a Degenerate Bose Gas Quenched to Unitarity
• Early-time dynamics of Bose gases quenched into the strongly interacting regime
• Long-lived universal resonant Bose gases
• High Temperature Virial Expansion to Universal Quench Dynamics
• Pair formation in quenched unitary Bose gases
• Maximum Energy Growth Rate in Dilute Quantum Gases
• Quenched dynamics of the momentum distribution of the unitary Bose gas
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• Evolution of the unitary Bose gas for broad to narrow Feshbach resonances
• Stability and Dynamics of Atom-Molecule Superfluids Near a Narrow Feshbach Resonance
• Nonequilibrium quench dynamics of Bose-Einstein condensates of microwave-shielded polar molecules
• Stability and Anomalous Compressibility of Bose Gases Near Resonance: The scale-dependent interactions and thermal effects
• Quench dynamics of a Bose-Einstein condensate under synthetic spin-orbit coupling
• Scale Invariant Dynamics and Universal Quantum Beats in Bose Gases