3 years ago

Path integral approach to quantum thermodynamics.

H. T. Quan, Ken Funo

By introducing a novel concept of work functional along individual "path", we reformulate the two-point measurement scheme in quantum thermodynamics based on the path integral formulation of quantum mechanics. We can also apply this approach to an open quantum system in the strong coupling regime described by the quantum Brownian motion model. Using the work functional, we derive a path-integral expression for the work statistics. By performing the $\hbar$ expansion, we analytically prove the quantum-classical correspondence of the work statistics. In addition, we obtain the quantum correction to the classical work. This formalism provides an effective way to calculate the work in open quantum systems by utilizing various path integral techniques. As as example, we calculate the work statistics for a dragged harmonic oscillator in isolated and open quantum systems.

Publisher URL: http://arxiv.org/abs/1708.05113

DOI: arXiv:1708.05113v3

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