Probability of phase separation for the Bose gas with delta interactions

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dc.creatorKorepin, V.
dc.creatorIts, A.
dc.creatorWaldron, A.
dc.date1995-10-12
dc.date.accessioned2026-07-07T03:07:57Z
dc.date.available2026-07-07T03:07:57Z
dc.descriptionWe consider the quantum Non-linear Schrödinger equation $i\partial_tΨ=-\partial_x^2Ψ+2cΨ^\daggerΨ^2$ with positive coupling constant $c$ varying from zero to infinity. We study quantum correlation functions of this model using the determinant representation of these correlation functions. We consider the case of a finite density ground state and evaluate, using the Riemann Hilbert problem, the asymptotics of the probability that no particles are present in the space interval $[0,x]$ in the large $x$ limit. We call this the probability of phase separation or alternately the emptiness formation probability.
dc.description12 pages, latex twice, to appear in the proceedings of the 19th IUPAP conference
dc.identifierhttps://arxiv.org/abs/cond-mat/9510068
dc.identifierhttp://arxiv.org/abs/cond-mat/9510068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27372
dc.subjectCondensed Matter
dc.titleProbability of phase separation for the Bose gas with delta interactions
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