Cluster Property and Robustness of Ground States of Interacting Many Bosons

Дата и время публикации : 2000-09-18T10:25:06Z

Авторы публикации и институты :
Akira Shimizu (Deptartment of Basic Science, Univ. Tokyo)
Takayuki Miyadera (Deptartment of Basic Science, Univ. Tokyo)

Ссылка на журнал-издание: J. Phys. Soc. Jpn. 71 (2002) 56.
Коментарии к cтатье: We have replaced the manuscript in order to update the reference list and to fix typos. (5 pages, no figures) In the final manuscript, a few sentences have added for more detailed explanation. Journal PDF at
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech, quant-ph

Краткий обзор статьи: We study spatial correlation functions of local operators of interacting many bosons confined in a box of a large, but 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., does not decohere for a macroscopically long time) 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’ | sim V^{1/3} to infty, 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.

Category: Physics