Cluster Property and Robustness of Ground States of Interacting Many Bosons

Journal of the Physical Society of Japan

Volumn 71, Issue 1, 2002, Pages 56-59

  Shimizu, Akira ^a   Miyadera, Takayuki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bose Einstein condensation; Cluster property; Decoherence; Dissipation; Finite system; Fluctuation; Fragile; Robust; Symmetry breaking; Thermodynamics

Indexed keywords

ARTICLE; BOSON; CLUSTER ANALYSIS; COMPRESSION; CORRELATION FUNCTION; DENSITY; ENERGY; ENVIRONMENT; MOLECULAR INTERACTION; THEORY; THERMODYNAMICS; VOLUMETRY;

EID: 0036307285     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.71.56     Document Type: Article

References (19)

1. Unfortunatelly, the complete list of all consistency conditions is not known yet.
2. D. Ruelle: Statistical Mechanics: Rigorous Results (Benjamin, Reading, 1969).
3. R. Haag: Local Quantum Physics (Springer, Berlin, 1992).
4. 1| → ∞. For example, not only the CSIB but also the NSIB and NPIB have the ODLRO, whereas the latter two states do not possess the cluster property [eqs. (20) and (22)].
5. We here consider non-relativistic theories, in which a space-like region is an equal-time hyper plane.
6. P. Horsch and W. von der Linden: Z. Phys. B 72 (1988) 181.
7. S. Miyashita: Qunatum simulations of condensed matter phenomena, ed. D. Dolland and J. E. Gabernatis (World Scientific, Singapore, 1990) p. 228.
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12. This idea was suggested in, e.g., refs. 9 and 10. In these papers, however, actual analyses were performed only for systems of a single degree of freedom. An analysis on a non-trivial many-body interacting system was perfomed only recently in ref. 11.
13. A. Shimizu and T. Miyadera: Phys. Rev. E 64 (2001) 056121.
14. A. Shimizu and J. Inoue: Phys. Rev. A 60 (1999) 3204.
15. M. Girardeau and R. Arnowitt: Phys. Rev. 113 (1959) 755.
16. A. Shimizu and T. Miyadera: cond-mat/0102429.
17. 13)
18. E. M. Lifshitz and L. P. Pitaevskii: Statistical Physics Part II (Pergamon, New York, 1980) Sect. 26.
19. Strictly speaking, ξ depends weakly on N. Since we can show that this N dependence does not alter our results, eqs. (14) and (19), we here describe the calculations in which this N dependence is neglected.