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Acta Physica Sinica

GENERALIZED SU (2) COHERENT STATE OF SPIN SYSTEM

Huajun Huang

Published Jan 1, 1991• 0 citations
OpenAlex

Abstract

This paper introduces the generalized SU(2) coherent state of spin system. Its squee ing and antibunching, and generation are discussed. It is shown that under the contraction of group SU(2) to the harmonic-oscillator group, the generalized SU(2) coherent state transforms to the generalized Glauber coherent state, the related results of the contraction are also given.

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arXiv:quant-ph/0009012•Modern Physics Letters A•Jun 28, 2001•17 citations
This paper introduces the generalized SU(2) coherent state of spin system. Its squee ing and antibunching, and generation are discussed. It is shown that under the contraction of group SU(2) to the harmonic-oscillator group, the generalized SU(2) coherent state transforms to the generalized Glauber coherent state, the related results of the contraction are also given.
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It is shown, using the quasi-spin operator, that the BCS superconducting ground-state wave function is the direct product of single Cooper-pair SU(2) coherent state wave functions, and in certain conditions, is SU(2) coherent state wave function of the Cooper-pair system. If two superconductors, both in BCS ground state, are coupled together, the coupled system is also in SU(2) coherent state. Under the contraction of group SU(2) to harmonic-oscillator group, the SU(2) coherent states contract to Glauber coherent states. The quantum fluctuations, distributions, and second correlations of Cooper pairs and Josephson superfluidity in the two cases are discussed.