Fermi-Bose transformation for the time-dependent Lieb-Liniger gas

Abstract

Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function which obeys the Schrodinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator which depends on the strength of the interaction and the number of particles.

4+ pages, 1 figure; added references

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Cited by in corpus (60)

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• Entanglement dynamics after quantum quenches in generic integrable systems
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• Equilibration of a Tonks-Girardeau gas following a trap release
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• Reduced density matrices and coherence of trapped interacting bosons
• Interaction quenches in the 1D Bose gas
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Fermionization and bosonization of expanding 1D anyonic fluids
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Long-time behavior of many-particle quantum decay
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates
• Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
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• Ground-state reference systems for expanding correlated fermions in one dimension
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
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• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions
• Interaction quench in a trapped one-dimensional Bose gas
• Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
• Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
• Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
• Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Geometric quenches in quantum integrable systems
• Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Momentum distribution of a freely expanding Lieb-Liniger gas
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
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• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
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• Reduction of local velocity spreads by linear potentials
• Loschmidt echo in one-dimensional interacting Bose gases
• Symplectic tomography of ultracold gases in tight-waveguides
• Exact results of dynamical structure factor of Lieb-Liniger model
• Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
• Lieb-Liniger gas in a constant force potential
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
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