Calculation of thermodynamic properties of finite Bose-Einstein systems
arXiv:cond-mat/0008071 · doi:10.1103/PhysRevA.60.1519
Abstract
We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in some approximation, e.g. like Bose-Einstein condensates in magnetic traps. The numerical effort of our computation scheme grows only linear with the number of particles. As an example we calculate the relative ground state fluctuations and specific heats for ideal Bose gases with a finite numbers of particles enclosed in containers of different shapes.
9 pages, 2 postscript figures
References in corpus (2)
Cited by in corpus (23)
- Physics with Coherent Matter Waves
- Classification of phase transitions in small systems
- Operational Entanglement of Symmetry-Protected Topological Edge States
- Canonical Statistics of Trapped Ideal and Interacting Bose Gases
- Path Integral Molecular Dynamics for Fermions: Alleviating the Sign Problem with the Bogoliubov Inequality
- Bose-Einstein Condensation, Fluctuations, and Recurrence Relations in Statistical Mechanics
- Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros
- Finite Temperature Auxiliary Field Quantum Monte Carlo in the Canonical Ensemble
- Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
- Analytical theory of mesoscopic Bose-Einstein condensation in ideal gas
- Classification of the Nuclear Multifragmentation Phase Transition
- Fluctuations of the Condensate in Ideal and Interacting Bose Gases
- Deviations from Wick's theorem in the canonical ensemble
- Statistical Properties of Interacting Bose Gases in Quasi-2D Harmonic Traps
- Fluctuations of observables for free fermions in a harmonic trap at finite temperature
- Fluorescence from a few electrons
- Condensate fraction and critical temperature of interacting Bose gas in anharmonic trap
- Self-similar analytical solution of the critical fluctuations problem for the Bose-Einstein condensation in an ideal gas
- A Stable, Recursive Auxiliary Field Quantum Monte Carlo Algorithm in the Canonical Ensemble: Applications to Thermometry and the Hubbard Model
- Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap
- The Partition Function of a Spinor Gas
- Bose-Einstein condensation in canonical ensemble with fixed total momentum
- Comment on "Canonical and Mircocanonical Calculations for Fermi Systems"