Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas

Abstract

We derive a $1/c$-expansion for the single-particle density matrix of a strongly interacting time-dependent one-dimensional Bose gas, described by the Lieb-Liniger model ($c$ denotes the strength of the interaction). The formalism is derived by expanding Gaudin's Fermi-Bose mapping operator up to $1/c$-terms. We derive an efficient numerical algorithm for calculating the density matrix for time-dependent states in the strong coupling limit, which evolve from a family of initial conditions in the absence of an external potential. We have applied the formalism to study contraction dynamics of a localized wave packet upon which a parabolic phase is imprinted initially.

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Cited by in corpus (8)

• Shortcuts to adiabaticity
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Effective thermalization of a many-body dynamically localized Bose gas
• Lieb-Liniger gas in a constant force potential
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Reflection of a Lieb-Liniger wave packet from the hard-wall potential