Item Type: | Article |
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Title: | An entropic gradient structure for lindblad equations and couplings of quantum systems to macroscopic models |

Creators Name: | Mittnenzweig, M. and Mielke, A. |

Abstract: | We show that all Lindblad operators (i.e., generators of quantum Markov semigroups) on a finite-dimensional Hilbert space satisfying the detailed balance condition with respect to the thermal equilibrium state can be written as a gradient system with respect to the relative entropy. We discuss also thermodynamically consistent couplings to macroscopic systems, either as damped Hamiltonian systems with constant temperature or as GENERIC systems. |

Keywords: | Quantum Markov Semigroups, Relative Entropy, Gradient Structure, General Equations for non-Equilibrium Reversible Irreversible Coupling |

Source: | Journal of Statistical Physics |

ISSN: | 0022-4715 |

Publisher: | Springer |

Volume: | 167 |

Number: | 2 |

Page Range: | 205-233 |

Date: | April 2017 |

Official Publication: | https://doi.org/10.1007/s10955-017-1756-4 |

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