Exact Methods in Analysis of Nonequilibrium Dynamics of Integrable Models: Application to the Study of Correlation Functions in Nonequilibrium 1D Bose Gas

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Exact Methods in Analysis of Nonequilibrium Dynamics of Integrable Models: Application to the Study of Correlation Functions in Nonequilibrium 1D Bose Gas

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Title: Exact Methods in Analysis of Nonequilibrium Dynamics of Integrable Models: Application to the Study of Correlation Functions in Nonequilibrium 1D Bose Gas
Author: Gritsev, Vladimir; Rostunov, Timofei; Demler, Eugene A.

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Citation: Gritsev, Vladimir, Timofei Rostunov, and Eugene Demler. 2010. Exact methods in analysis of nonequilibrium dynamics of integrable models: Application to the study of correlation functions in nonequilibrium 1D Bose gas. Journal of Statistical Mechanics: Theory and Experiment 2010(5): P05012.
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Abstract: 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.
Published Version: doi:10.1088/1742-5468/2010/05/P05012
Other Sources: http://arxiv.org/abs/0904.3221v3
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:7349759
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