Quantum statistics and thermodynamics in the harmonic approximation

J. R. Armstrong, N. T. Zinner, D. V. Fedorov, A. S. Jensen

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We describe a method to compute thermodynamic quantities in the harmonic approximation for identical bosons and fermions in an external confining field. We use the canonical partition function where only energies and their degeneracies enter. The number of states of given energy and symmetry is found by separating the center-of-mass motion, and by counting the remaining states of given symmetry and excitation energy of the relative motion. The oscillator frequencies that enter the harmonic Hamiltonian can be derived from realistic model parameters, and the method corresponds to an effective interaction approach based on harmonic interactions. To demonstrate the method, we apply it to systems in two dimensions. Numerical calculations are compared to a brute force method, which is considerably more computationally intensive.

Original languageEnglish (US)
Article number021117
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number2
DOIs
StatePublished - Feb 10 2012

Fingerprint

Quantum Statistics
quantum statistics
Thermodynamics
Harmonic
harmonics
thermodynamics
Approximation
Energy
approximation
Force Method
Symmetry
Motion
symmetry
Barycentre
Interaction
Partition Function
confining
Numerical Calculation
Bosons
External Field

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Quantum statistics and thermodynamics in the harmonic approximation. / Armstrong, J. R.; Zinner, N. T.; Fedorov, D. V.; Jensen, A. S.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 85, No. 2, 021117, 10.02.2012.

Research output: Contribution to journalArticle

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