Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-04-21
J. Stat. Mech. (2010) P05012
Physics
Condensed Matter
Quantum Gases
27 pages, 7 figures, minor corrections, refs added
Scientific paper
10.1088/1742-5468/2010/05/P05012
In this paper we study nonequilibrium dynamics of one dimensional Bose gas from the general perspective of dynamics of integrable systems. After outlining and critically reviewing methods based on inverse scattering transform, intertwining operators, q-deformed objects, and extended dynamical conformal symmetry, we focus on the form-factor based approach. Motivated by possible applications in nonlinear quantum optics and experiments with ultracold atoms, we concentrate on the regime of strong repulsive interactions. We consider dynamical evolution starting from two initial states: a condensate of particles in a state with zero momentum and a condensate of particles in a gaussian wavepacket in real space. Combining the form-factor approach with the method of intertwining operator we develop a numerical procedure which allows explicit summation over intermediate states and analysis of the time evolution of non-local density-density correlation functions. In both cases we observe a tendency toward formation of crystal-like correlations at intermediate time scales.
Demler Eugene
Gritsev Vladimir
Rostunov Timofei
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