From Bose condensation to quantum gravity and back

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dc.creatorIlinski, K. N.
dc.creatorStepanenko, A. S.
dc.date1998-03-19
dc.date.accessioned2026-07-07T06:34:53Z
dc.date.available2026-07-07T06:34:53Z
dc.descriptionWe account for the interaction of the Bose-condensed fraction with the normal phase in an effective dynamical equation such as the Gross-Pitaevskii equation. We show that the low-energy excitations can be treated as sound waves with speed dependent on the condensate density. This allows us to reduce the problem to the calculation of the determinant of the Laplace operator on a curved space and apply standard methods of quantum gravity to get the leading logarithmic contribution of the determinant. This produces the first quantum correction due to the noncondensed fraction to the Gross-Pitaevskii equation for the condensate. The correction describes an additional quantum pressure in the condensate and evaporation-condensation effects.
dc.description6 pages, LaTeX, Talk delivered on 1st Winter Workshop CPCM, Pamporovo (March, 1998), to appear in J.Phys.Studies
dc.identifierhttps://arxiv.org/abs/cond-mat/9803233
dc.identifierhttp://arxiv.org/abs/cond-mat/9803233
dc.identifierJ.Phys.Stud. 2 (1998) 155-159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99660
dc.subjectStatistical Mechanics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleFrom Bose condensation to quantum gravity and back
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