Time evolution of the quantized field coupled to a thermal bath: A phase space approach

2020/10/13 by E. P. Mattos, A. Vidiella-Barranco · 5 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Electromagnetic field #Field (mathematics) #Function (biology) #Master equation #Mode (computer interface) #Operator (biology) #Phase space #Physics #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Space (punctuation) #Statistical physics #Thermal #Thermodynamics #Time evolution #cond-mat.stat-mech #physics.optics #quant-ph

paper · pdf · doi:10.1016/j.aop.2020.168321

published in Annals of Physics 422, 168321 (Elsevier BV)

openalex publication_date 2020/10/13 · arxiv created 2020/10/20 · openalex created_date 2020/10/22 · arxiv updated 2021/03/08 · openalex updated_date 2026/08/05

Abstract

We present an alternative method for describing the evolution of a mode of the quantized electromagnetic field in contact with a finite temperature thermal bath. We use the expansion of the field density operator in terms of coherent states and the related Glauber-Sudarshan P-function in phase space. The method allows us to obtain analytical expressions of the system's time-evolved P-function without needing to solve the corresponding master equation.

Citations

• Distribution functions in physics: Fundamentals
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
• Density Operators and Quasiprobability Distributions
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Coherent and Incoherent States of the Radiation Field
• On the Quantum Correction For Thermodynamic Equilibrium