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Prog. Theor. Phys. Vol. 107 No. 4 (2002) pp. 689-702

[ Full Text PDF : FREE ACCESS (152K) ]

Phase Invariant Perturbation Scheme in Bose-Einstein Condensed States

Hideki Matsumoto* and Shoichi Sakamoto

Department of Applied Physics, Seikei University, Musashino 180-8633, Japan

(Received October 30, 2001)

Abstract:

In the Bose-Einstein condensation of a dilute alkaline atomic gas trapped in a magnetic potential, one has to deal with a strongly space- (and time-) dependent order parameter, which violates the phase symmetry. In this case, certain relations are required among propagators and vertices, known as Ward-Takahashi identities. In this paper, we show that a systematic self-consistent perturbation scheme can be developed even with a space-time order parameter in such a way as to satisfy the requirement of phase symmetry. The key procedure is that the information concerning the full order parameter, which is self-consistently determined, is included in the unperturbed Hamiltonian.


URL : http://ptp.ipap.jp/link?PTP/107/689/
DOI : 10.1143/PTP.107.689


*E-mail: matumoto@apm.seikei.ac.jp
From April 1, 2002, his address will be changed as Institute of Physics, Univ. of Tsukuba, Ibaraki 305-8571, Japan.

[ Full Text PDF : FREE ACCESS (152K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 126 No. 4 (2011) pp. 681-701 :
    Canonical Quantization for a Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics
    Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura and Yoshiya Yamanaka

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