Evaluation of the Permutational Structure of the Canonical Ensemble Partition Function
arXiv:0712.2493 · doi:10.1103/PhysRevE.75.031124
Abstract
Proposed is an alternative method for permutational sampling in quantum gases using the path integral formulation of statistical mechanics. It is shown that in principle we are able to use two operators which enable us to construct a Markov chain through a graph of the irreducible representation of the symmetric group. As an illustration of this method, a test calculation of four particles in a harmonic trap is performed.
arXiv comment6 Figures, 8 pages
References in corpus (11)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Dark Solitons in Bose-Einstein Condensates
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Realization of Bose-Einstein condensates in lower dimensions
- Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
- Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations
- Transition Temperature of the homogeneous, weakly interacting Bose gas
- Diffraction of a Bose-Einstein condensate from a Magnetic Lattice on a Micro Chip
- Bose-Einstein condensates in RF-dressed adiabatic potentials
- Permutation sampling in Path Integral Monte Carlo
- Path Integrals and Parastatistics