Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method

Abstract

We present a characteristic function method to calculate the probability density functions of the inclusive work in the adiabatic two-level quantum Markovian master equations. These systems are steered by some slowly varying parameters and the dissipations may depend on time. Our theory is based on the interpretation of the quantum jump for the master equations. In addition to the calculation, we also find that the fluctuation properties of the work can be described by the symmetry of the characteristic functions, which is exactly the same as the case of the isolated systems. A periodically driven two-level model is used to show the method.

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Cited by in corpus (5)

• Stochastic thermodynamics of rapidly driven systems
• Characteristic Functions Based on Quantum Jump Trajectory
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Ability of Markovian Master Equations to Model Quantum Computers and Other Systems Under Broadband Control
• Work fluctuation and total entropy production in nonequilibrium processes