| Spontaneous U（1） symmetry breaking and Bose-Einstein condensation |
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| 引用本文： | 钱锋,黄洪斌,齐观晓,沈才康. Spontaneous U（1） symmetry breaking and Bose-Einstein condensation[J]. 中国物理, 2006, 15(7): 1577-1579. DOI: 10.1088/1009-1963/15/7/033 |
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| 作者姓名： | 钱锋 黄洪斌 齐观晓 沈才康 |
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| 作者单位： | Department of Physics, Southeast University, Nanjing 210096, China |
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| 基金项目： | One of author (Huang H B) was partially supported by the Natural Science Foundation of Jiangsu province,China (Grant No BK2005062). |
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| 摘 要： | Based on Bogoliubov's truncated Hamiltonian HB for a weakly interacting Bose system, and adding a U(1) symmetry breaking term $sqrt{V}(lambda a0+lambda*a0+) to HB, we show byusing the coherent state theory and the mean-field approximation rather than the c-number approximations, that the Bose--Einstein condensation(BEC) occurs if and only if the U(1) symmetry of the system is spontaneously broken. The real ground state energy and the justification of the Bogoliubov c-number substitution are given by solving the Schr"{o}dinger eigenvalue equation and using the self-consistent condition.
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| 关 键 词： | BEC U(1) symmetry breaking generalized SU(1 1) coherent state |
| 收稿时间： | 2005-07-03 |
| 修稿时间： | 2005-07-032005-11-09 |
Spontaneous U(1) symmetry breaking and Bose--Einstein condensation |
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| Qian Feng,Huang Hong-Bin,Qi Guan-Xiao and Shen Cai-Kang. Spontaneous U(1) symmetry breaking and Bose--Einstein condensation[J]. Chinese Physics, 2006, 15(7): 1577-1579. DOI: 10.1088/1009-1963/15/7/033 |
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| Authors: | Qian Feng Huang Hong-Bin Qi Guan-Xiao Shen Cai-Kang |
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| Affiliation: | Department of Physics, Southeast University, Nanjing 210096, China |
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| Abstract: | Based on Bogoliubov's truncated Hamiltonian HB for a weakly interacting Bose system, and adding a U(1) symmetry breaking term $sqrt{V}(lambda a0+lambda*a0+) to HB, we show byusing the coherent state theory and the mean-field approximation rather than the c-number approximations, that the Bose--Einstein condensation(BEC) occurs if and only if the U(1) symmetry of the system is spontaneously broken. The real ground state energy and the justification of the Bogoliubov c-number substitution are given by solving the Schr"{o}dinger eigenvalue equation and using the self-consistent condition. |
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| Keywords: | BEC U(1) symmetry breaking generalized SU(1 1) coherent state |
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