Dynamics of pair correlations in the attractive Lieb-Liniger gas
arXiv:1006.5312 · doi:10.1103/PhysRevLett.105.150403
Abstract
We investigate the dynamics of a 1D Bose gas after a quench from the Tonks-Girardeau regime to the regime of strong attractive interactions applying analytical techniques and exact numerical simulations. After the quench the system is found to be predominantly in an excited gas-like state, the so-called super-Tonks gas, however with a small coherent admixture of two-particle bound states. Despite its small amplitude, the latter component leads to a rather pronounced oscillation of the local density-density correlation with a frequency corresponding to the binding energy of the pair, making two-particle bound states observable in an experiment. Contributions from bound states with larger particle numbers are found to be negligible.
4 pages, 4 figures
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Cited by in corpus (11)
- Local Correlations in the Super Tonks-Girardeau Gas
- Interaction quench in a trapped one-dimensional Bose gas
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Metastable criticality and the super Tonks-Girardeau gas
- Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
- Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
- Marginal quenches and drives in Tomonaga-Luttinger liquids
- Exact results of dynamical structure factor of Lieb-Liniger model
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
- Correlations in Circular Quantum Cascades
- Clusters of bound particles in a quantum integrable many-body system and number theory