Cluster Property and Robustness of Ground States of Interacting Many Bosons
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概要
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We study spatial correlation functions of local operators of interacting many bosons confined in a box of a large, but finite volume V, for various 'ground states' whose energy densities are almost degenerate. The ground states include the coherent state of interacting bosons (CSIB), the number state of interacting bosons (NSIB), and the number-phase squeezed state of interacting bosons, which interpolates between the CSIB and NSIB. It was shown previously that only the CSIB is robust (i. e. , decoheres much more slowly than the other states) against the leakage of bosons into an environment. We show that for the CSIB the spatial correlation of any local operators A(r) and B(r') (which are localized around r and r', respectively) vanishes as ∣r-r'∣ ∿V1/3⟶∞, i. e. , the CSIB has the 'cluster property.' In contrast, the other ground states do not possess the cluster property. Therefore, we have successfully shown that the robust state has the cluster property. This ensures the consistency of the field theory of bosons with macroscopic theories.
- 社団法人日本物理学会の論文
- 2002-01-15
著者
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Miyadera Takayuki
Department Of Basic Science University Of Tokyo
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Shimizu Akira
Department Of Basic Science University Of Tokyo
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Shimizu Akira
Deparment Of Physics Rikkyo University
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