Partition functions and thermodynamic properties of paraboson and parafermion systems

Abstract

New formulas are given for the grand partition function of paraboson systems of order p with n orbitals and parafermion systems of order p with m orbitals. These formulas allow the computation of statistical and thermodynamic functions for such systems. We analyze and discuss the average number of particles on an orbital, and the average number of particles in the system. For some special cases (identical orbital energies, or equidistant orbital energies) we can simplify the grand partition functions and describe thermodynamic properties in more detail. Some specific properties are also illustrated in plots of thermodynamic functions.

References in corpus (9)

• Quantum simulation of driven para-Bose oscillators
• The parafermion Fock space and explicit so(2n+1) representations
• Canonical Partition Functions for Parastatistical Systems of any order
• A class of infinite-dimensional representations of the Lie superalgebra osp(2m+1|2n) and the parastatistics Fock space
• Parafermionic dark mater
• Diagrams and Parastatistical Factors for Cascade Emission of a Pair of Paraparticles
• Partition function for general multi-level systems
• Grand canonical partition functions for multi level para Fermi systems of any order
• Equivalence of the grand canonical partition functions of particles with different statistics

Cited by in corpus (6)

• Orthosymplectic $Z_2\times Z_2$-graded Lie superalgebras and parastatistics
• Para-particle oscillator simulations on a trapped ion quantum computer
• Reconstruction of Quantum Particle Statistics: Bosons, Fermions, and Transtatistics
• Parastatistics in Interacting Periodic Chains Revealed by Peierls Phase Twists and Shifted Conformal Towers
• Noninteracting tight-binding models for Fock parafermions
• Bosonization in $R$-paraparticle Luttinger models