The Dynamics of the One-Dimensional Delta-Function Bose Gas

Abstract

We give a method to solve the time-dependent Schroedinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian.

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Integral Formulas for the Asymmetric Simple Exclusion Process
• The 1D interacting Bose gas in a hard wall box

Cited by in corpus (13)

• An exact formalism for the quench dynamics of integrable models
• Exact methods in analysis of nonequilibrium dynamics of integrable models: application to the study of correlation functions in nonequilibrium 1D Bose gas
• On Form Factors in nested Bethe Ansatz systems
• The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line
• The propagator of the attractive delta-Bose gas in one dimension
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Out of equilibrium dynamics of repulsive ranked diffusions: the expanding crystal
• Discrete harmonic analysis on a Weyl alcove
• Noise correlations in the expansion of an interacting 1D Bose gas from a regular array
• The propagator of the finite XXZ spin-$\frac{1}{2}$ chain
• Non-Equilibrium Steady State of the Lieb-Liniger model: multiple-integral representation of the time evolved many-body wave-function
• Nonlocal pair correlations in Lieb-Liniger gases: A unified nonperturbative approach from weak degeneracy to high temperatures
• Integral formula for the propagator of the one-dimensional Hubbard model