The relation between Feynman cycles and off-diagonal long-range order
arXiv:cond-mat/0604005 · doi:10.1103/PhysRevLett.97.170601
Abstract
The usual order parameter for the Bose-Einstein condensation involves the off-diagonal correlation function of Penrose and Onsager, but an alternative is Feynman's notion of infinite cycles. We present a formula that relates both order parameters. We discuss its validity with the help of rigorous results and heuristic arguments. The conclusion is that infinite cycles do not always represent the Bose condensate.
5 pages
References in corpus (6)
- Supersolids versus phase separation in two-dimensional lattice bosons
- Supersolids in the Bose-Hubbard Hamiltonian
- Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
- Percolation transition in the Bose gas II
- Percolation, Bose-Einstein Condensation, and String Proliferation
- Long Cycles in a Perturbed Mean Field Model of a Boson Gas
Cited by in corpus (14)
- Spatial random permutations and infinite cycles
- Quantum de-mixing in binary mixtures of dipolar bosons
- On a model of random cycles
- Feynman cycles in the Bose gas
- Critical Temperature of Dilute Bose Gases
- Random permutations of a regular lattice
- Site monotonicity and uniform positivity for interacting random walks and the spin O(N) model with arbitrary N
- Scaling approach to existence of long cycles in Casimir boxes
- Gibbs measures on permutations over one-dimensional discrete point sets
- Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores
- Large deviations for empirical path measures in cycles of integer partitions
- Infinite cycles of interacting bosons
- Simultaneous occurrence of off-diagonal long-range order and infinite permutation cycles in systems of interacting atoms
- Infinite Cycles in Boson Lattice Models