Quantum work fluctuation theorem: Nonergodic Brownian motion case

• Work fluctuations of quantum Brownian particles in a nonergodic bath are studied.
• A quantum asymptotic fluctuation theorem is derived.
• It is in general not a direct generalization of classical counterpart.
• The form of it is dependent on the structure of bath.

The work fluctuations of a quantum Brownian particle driven by an external force in a general nonergodic heat bath are studied under a general initial state. The exact analytical expression of the work probability distribution function is derived. Results show the existence of a quantum asymptotic fluctuation theorem, which is in general not a direct generalization of its classical counterpart. The form of this theorem is dependent on the structure of the heat bath and the specified initial condition.