| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] RAS, IITP, Moscow 117901 - Russia
[2] Univ Cambridge, DPMMS, Stat Lab, Cambridge CB2 1TN - England
[3] Univ Sao Paulo, Dept Stat, IME, BR-05508 Sao Paulo - Brazil
[4] Univ Debrecen, Debrecen - Hungary
[5] Univ Sao Paulo, IME, BR-05508 Sao Paulo - Brazil
Total Affiliations: 5
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| Document type: | Journal article |
| Source: | Journal of Mathematical Physics; v. 55, n. 8 AUG 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
The paper extends earlier results from Suhov and Kelbert {[}{''}FK-DLR states of a quantum Bose-gas with a hardcore interaction,{''} arXiv: 1304.0782] and Suhov et al. {[}{''}Shift-invariance for FK-DLR states of a 2D quantum Bose-gas,{''} arXiv: 1304.4177] about infinite-volume quantum bosonic states (FK-DLR states) to the case of multitype particles with non-negative interactions. (An example is a quantum Widom-Rowlinson model.) Following the strategy from Suhov and Kelbert and Suhov et al., we establish that, for the values of fugacity z. (0, 1) and inverse temperature beta > 0, finite-volume Gibbs states form a compact family in the thermodynamic limit. Next, in dimension two we show that any limit-point state (an FK-DLR state in the terminology adopted in Suhov and Kelbert and Suhov et al.) is translation-invariant. (C) 2014 AIP Publishing LLC. (AU) | |
| FAPESP's process: | 11/51845-5 - Analytical, finite and quasi-group loops |
| Grantee: | Izabella Stuhl |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 11/20133-0 - Absence of continuous symmetry-breaking in 2-dimensional quantum systems |
| Grantee: | Anatoli Iambartsev |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |