Quantum Dynamics, Master Equation and Equilibrium for a Qubit Coupled to a Thermal Boson Field

2025/10/15 by Hiromichi Nakazato, Nakazato, Hiromichi, Saverio Pascazio +1
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2510.13142

Abstract

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary thermal state. The long-time behavior of the evolution operator governing the dynamics of both the system and the environment is analyzed, and the conditions under which the system approaches thermal equilibrium are examined.

Citations

• Quantum thermodynamics of single particle systems
• Completely positive dynamical semigroups of N-level systems

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