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Spectroscopy of Collective Excitations in Interacting Low-Dimensional Many-Body Systems Using Quench Dynamics

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arxiv cond-mat/0702343 v3 pith:U3R2BFFN submitted 2007-02-14 cond-mat.other cond-mat.str-el

Spectroscopy of Collective Excitations in Interacting Low-Dimensional Many-Body Systems Using Quench Dynamics

Vladimir Gritsev , Eugene Demler , Mikhail Lukin , Anatoli Polkovnikov This is my paper
classification cond-mat.other cond-mat.str-el
keywords quenchcollectiveexcitationslow-dimensionalmany-bodymeasuringmodelsspectrum
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We study the problem of rapid change of the interaction parameter (quench) in many-body low-dimensional system. It is shown that, measuring correlation functions after the quench the information about a spectrum of collective excitations in a system can be obtained. This observation is supported by analysis of several integrable models and we argue that it is valid for non-integrable models as well. Our conclusions are supplemented by performing exact numerical simulations on finite systems. We propose that measuring power spectrum in dynamically split 1D Bose-Einsten condensate into two coupled condensates can be used as experimental test of our predictions.

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