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Trace of broken integrability in stationary correlation properties

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Trace of broken integrability in stationary correlation properties

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Título Trace of broken integrability in stationary correlation properties
Autor Brouzos, Ioannis
Foerster, Angela
Abstract We show that the breaking of integrability in the fundamental one-dimensional model of bosons with contact interactions has consequences on the stationary correlation properties of the system. We calculate the energies and correlation functions of the integrable Lieb-Liniger case, comparing the exact Bethe-ansatz solution with a corresponding Jastrow ansatz. Then we examine the nonintegrable case of different interaction strengths between each pair of atoms by means of a variationally optimized Jastrow ansatz, proposed in analogy to the Laughlin ansatz. We show that properties of the integrable state are more stable close to the Tonks-Girardeau regime than for weak interactions. All energies and correlation functions are given in terms of explicit analytical expressions enabled by the Jastrow ansatz. We finally compare the correlations of the integrable and nonintegrable cases and show that apart from symmetry breaking the behavior changes dramatically, with additional and more pronounced maxima and minima interference peaks appearing.
Contido em Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 89, no. 5 (May 2014), 053623, 9 p.
Assunto Equacao de bethe ansatz
Sistemas de bósons
Sistemas de férmions
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/104558
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