dorsal/arxiv
View SchemaQuantum jumps and entropy production
| Authors | Heinz-Peter Breuer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306047 |
| URL | https://arxiv.org/abs/quant-ph/0306047 |
| DOI | 10.1103/PhysRevA.68.032105 |
| Journal | Phys. Rev. A68, 032105 (2003) |
Abstract
The irreversible motion of an open quantum system can be represented through an ensemble of state vectors following a stochastic dynamics with piecewise deterministic paths. It is shown that this representation leads to a natural definition of the rate of quantum entropy production. The entropy production rate is expressed in terms of the von Neumann entropy and of the numbers of quantum jumps corresponding to the various decay channels of the open system. The proof of the positivity and of the convexity of the entropy production rate is given. Monte Carlo simulations of the stochastic dynamics of a driven qubit and of a $\Lambda$-configuration involving a dark state are performed in order to illustrate the general theory.
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"abstract": "The irreversible motion of an open quantum system can be represented through\nan ensemble of state vectors following a stochastic dynamics with piecewise\ndeterministic paths. It is shown that this representation leads to a natural\ndefinition of the rate of quantum entropy production. The entropy production\nrate is expressed in terms of the von Neumann entropy and of the numbers of\nquantum jumps corresponding to the various decay channels of the open system.\nThe proof of the positivity and of the convexity of the entropy production rate\nis given. Monte Carlo simulations of the stochastic dynamics of a driven qubit\nand of a $\\Lambda$-configuration involving a dark state are performed in order\nto illustrate the general theory.",
"arxiv_id": "quant-ph/0306047",
"authors": [
"Heinz-Peter Breuer"
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"doi": "10.1103/PhysRevA.68.032105",
"journal_ref": "Phys. Rev. A68, 032105 (2003)",
"title": "Quantum jumps and entropy production",
"url": "https://arxiv.org/abs/quant-ph/0306047"
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