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QI: Fachverband Quanteninformation
QI 11: Quantum Thermodynamics
QI 11.8: Vortrag
Dienstag, 19. März 2024, 11:30–11:45, HFT-TA 441
Towards a local version of the second law of thermodynamics — •Ahana Ghoshal1,2 and Ujjwal Sen2 — 1University of Siegen, Germany — 2Harish-Chandra Research Institute, India
A local version of the second law of thermodynamics is undoubtedly a fundamentally important area of research, and is all the more important with the advent of quantum devices and networks. Here we intend to provide two investigations in this direction. In the first part, we define and study two thermodynamical quantities: the heat current deficit and the entropy production rate deficit, which are differences between the global and local versions of the corresponding quantities. The investigation leads, in certain cases, to a complementarity of the time-integrated heat current deficit and the relative entropy of entanglement between the two systems. In the second part, we obtain the Gorini-Kossakowski-Sudarshan-Lindblad master equation for two or more quantum systems connected locally to a combination of Markovian and non-Markovian heat baths. We analyze the thermodynamic quantities for such a mixed set of local environments, and derive a modified form of the Spohn's theorem for that setup. The modification of the theorem naturally leads to a witness as well as an easily computable quantifier of non-Markovianity.
Keywords: Markovian; non-Markovian; Entropy production rate; Heat current; Spohn's theorem