Density operators for fermions

1998/08/23 by Kévin Cahill, Kevin E. Cahill, Roy J. Glauber · 7 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Physics #Quantum mechanics #Spectral Theory in Mathematical Physics #Theoretical physics #physics.atom-ph #physics.optics

paper · pdf · doi:10.1103/physreva.59.1538

published as Phys. Rev. A59 (1999) 1538 · 45 pages, latex

arxiv created 1998/08/23 · openalex publication_date 1999/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The mathematical methods that have been used to analyze the statistical properties of boson fields, and in particular the coherence of photons in quantum optics, have their counterparts for Fermi fields. The coherent states, the displacement operators, the P representation, and the other operator expansions all possess surprisingly close fermionic analogues. These methods for describing the statistical properties of fermions are based upon a practical calculus of anticommuting variables. They are used to calculate correlation functions and counting distributions for general systems of fermions.

Citations

• Superfluidity of Spin-Polarized6Li
• Ordered Expansions in Boson Amplitude Operators
• Density Operators and Quasiprobability Distributions
• Coherent and Incoherent States of the Radiation Field
• The Quantum Theory of Optical Coherence

Cited by

• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Entanglement entropy of fermions from Wigner functions: Excited states and open quantum systems
• Entanglement entropy of fermions in a strange metal
• Gaussian operator bases for correlated fermions
• Qubit quantum channels: A characteristic function approach
• In Situ Thermometry of a Cold Fermi Gas via Dephasing Impurities
• Twisted Fourier analysis and pseudo-probability distributions