The European Physical Journal D

, Volume 65, Issue 3, pp 523–532 | Cite as

Condensation state of ultra-cold Bose atomic gases with pure gradient interactions with negative coefficient

Regular Article Cold Matter and Quantum Gases


Within the framework of quantum field theory, we find that uniform Bose atomic gases with pure gradient interactions with negative coefficient can undergo a Bardeen-Cooper-Schrieffer (BCS) condensation below a critical temperature. In the BCS condensation state, bare atoms with opposite wave vectors are bound into pairs, and unpaired bare atoms are transformed into a new kind of quasi-particle, i.e. the dressed atom. The atom-pair system is a condensate or a superfluid and the dressed-atom system is a normal fluid. At absolute zero temperature the condensate possesses a lowest negative energy. When the total interaction strength of atoms is large enough, the energy of the condensate is a monotonically increasing function of temperature and interaction strength. The critical temperature and the effective mass of dressed atoms are derived analytically. The transition from the BCS condensation state to the normal state is a first-order phase transition.


Critical Temperature Atom System Atom Pair Feshbach Resonance Bare Atom 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.School of PhysicsHuazhong University of Science and TechnologyWuhanP.R. China

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