Off-diagonal series expansion for quantum partition functions. (2nd May 2018)

• Record Type: Journal Article
• Authors: Hen, Itay
• Is Part Of: Journal of statistical mechanics. (2018:May)
• Publication Date: 2018-05-02
• Subjects: 3 -- 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aabbe4
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We derive an integral-free thermodynamic perturbation series expansion for quantum partition functions which enables an analytical term-by-term calculation of the series. The expansion is carried out around the partition function of the classical component of the Hamiltonian with the expansion parameter being the strength of the off-diagonal, or quantum, portion. To demonstrate the usefulness of the technique we analytically compute to third order the partition functions of the 1D Ising model with longitudinal and transverse fields, and the quantum 1D Heisenberg model.