Classical fields method for a relativistic interacting Bose gas

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Classical fields method for a relativistic interacting Bose gas

Emilia Witkowska, Paweł Ziń, and Mariusz Gajda Institute of Physics, Polish Academy of Sciences, al. Lotników, 02-668 Warsaw, Poland Institute for Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681 Warsaw, Poland Soltan Institute for Nuclear Studies, ul. Hoża 69, 00-681 Warsaw, Poland Faculty of Mathematics and Natural Sciences, College of Sciences, Cardinal’s Stefan Wyszyński Universi...

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We will look at the weakly interacting system at low temperatures. Already, without interactions, we have Bose condensation 〈 b+ 0 b0 〉 = N0 = N. (2) Interactions will reduce this, but if they are weak the depletion of the condensate will be a small fraction (N −N0)/N 1, or ∑ E k ′ 〈 bE k bE k 〉 N, (3) with ∑′ denoting the sum over all E k 6= 0. With the macroscopic occupation of the zero mode ...

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The classical region of a Bose gas consists of all single particle modes that have a high average occupation and are well described by a classical field. Highly occupied modes only occur in massive Bose gases at ultra-cold temperatures, in contrast to the photon case where there are highly occupied modes at all temperatures. For the Bose gas the number of these modes is dependent on the tempera...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2009

ISSN: 1550-7998,1550-2368

DOI: 10.1103/physrevd.79.025003