engleski

Nonequilibrium dynamics of exactly solvable one- dimensional many-body Bose systems

Non-equilibrium dynamics of interacting many-body systems is extremely interesting in the context of one-dimensional (1D) bosonic gases for many reasons: (i) these systems are experimentally realized with atoms trapped in 1D atomic waveguides, (ii) models which describe such systems, e.g. the Lieb-Liniger model, are exactly solvable in some non-equilibrium situations, and (iii) quantum effects are enhanced in systems of reduced dimensionality. Our aim is to describe dynamics of a many-body system by employing exact methods, which is of particular importance when the system approaches strongly correlated regime, when the usual mean-field treatment is not applicable. We have studied nonequilibrium dynamics within the framework of the Lieb-Liniger model, where interaction strength varies from weakly to strongly interacting regime, using an exact approach, originally introduced by Gaudin. Furthermore, in the strongly interacting limit of the Tonks-Girardeau gas we have studied the phenomenon of Anderson localization.

nonequilibrium dynamics; interactions; bosons; many-body systems; exact solutions

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