skip to main content

SciTech ConnectSciTech Connect

Title: FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction

The paper extends earlier results from Suhov and Kelbert [“FK-DLR states of a quantum Bose-gas with a hardcore interaction,” http://arxiv.org/abs/arXiv:1304.0782 ] and Suhov et al. [“Shift-invariance for FK-DLR states of a 2D quantum Bose-gas,” http://arxiv.org/abs/arXiv:1304.4177 ] about infinite-volume quantum bosonic states (FK-DLR states) to the case of multi-type 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 zϵ(0, 1) and inverse temperature β > 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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [2]
  1. Statistical Laboratory, DPMMS, University of Cambridge (United Kingdom)
  2. (Brazil)
  3. (Russian Federation)
  4. University of Debrecen (Hungary)
Publication Date:
OSTI Identifier:
22306093
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; INTERACTIONS; QUANTUM MECHANICS; THERMODYNAMICS; TWO-DIMENSIONAL CALCULATIONS