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arXiv · 2012.07979

Quantum thermo-dynamical construction for driven open quantum systems

Roie Dann·Ronnie Kosloff
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Abstract

Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the thermodynamic principles in terms of a set of postulates we obtain a thermodynamically consistent master equation. Following an axiomatic approach, we base the analysis on an autonomous description, incorporating the drive as a large transient control quantum system. In the appropriate physical limit, we derive the semi-classical description, where the control is incorporated as a time-dependent term in the system Hamiltonian. The transition to the semi-classical description reflects the conservation of global coherence and highlights the crucial role of coherence in the initial control state. We demonstrate the theory by analyzing a qubit controlled by a single bosonic mode in a coherent state.

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Roie Dann, Ronnie Kosloff. 2020-12-14. Quantum thermo-dynamical construction for driven open quantum systems. https://doi.org/10.22331/q-2021-11-25-590

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