Dynamics of Lieb-Liniger Gases
arXiv:cond-mat/0302213 · doi:10.1103/PhysRevLett.91.040401
Abstract
It is proved that the Lieb-Liniger (LL) cusp condition implementing the delta function interaction in one-dimensional Bose gases is dynamically conserved under phase imprinting by pulses of arbitrary spatial form and the subsequent many-body dynamics in the thermodynamic limit is expressed approximately in terms of solutions of the time-dependent single-particle Schrodinger equation for a set of time-dependent orbitals evolving from an initial LL-Fermi sea. As an illustrative application, generation of gray solitons in a LL gas on a ring by a phase-imprinting pulse is studied.
4 pages revtex4 including 2 figures, minor revisions in text, submitted to Phys. Rev. Lett
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- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Exact ground state of finite Bose-Einstein condensates on a ring
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem
- Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
- Momentum distribution of a freely expanding Lieb-Liniger gas
- Ultracold gases far from equilibrium
- Symplectic tomography of ultracold gases in tight-waveguides
- Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
- Bose-Einstein Condensation in Geometrically Deformed Tubes
- Reflection of a Lieb-Liniger wave packet from the hard-wall potential
- Recurrence times of the Lieb-Liniger model in the weak and strong coupling regimes
- Necklace Ansatz for strongly repulsive spin mixtures on a ring
- Love--Lieb integral equations: applications, theory, approximations, and computation