Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
arXiv:0707.4115 · doi:10.1088/1742-5468/2007/08/P08032
Abstract
The physics of the attractive one-dimensional Bose gas (Lieb-Liniger model) is investigated with techniques based on the integrability of the system. Combining a knowledge of particle quasi-momenta to exponential precision in the system size with determinant representations of matrix elements of local operators coming from the Algebraic Bethe Ansatz, we obtain rather general analytical results for the zero-temperature dynamical correlation functions of the density and field operators. Our results thus provide quantitative predictions for possible future experiments in atomic gases or optical waveguides.
26 pages, 5 figures
References in corpus (8)
- Dynamical density-density correlations in the one-dimensional Bose gas
- Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
- Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Correlation functions of the one-dimensional attractive Bose gas
- Friction and diffusion of matter-wave bright solitons
- Bragg scattering and the spin structure factor of two-component atomic gases
- Beyond Mean-Field Theory for Attractive Bosons under Transverse Harmonic Confinement
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