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Quantum discord and non-Markovianity of quantum dynamics
, Article Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 85, Issue 5 , 2012 ; 10502947 (ISSN) ; Mani, A ; Rezakhani, A. T ; Sharif University of Technology
2012
Abstract
The problem of recognizing (non-)Markovianity of a quantum dynamics is revisited through analyzing quantum correlations. We argue that instantaneouslyvanishing quantum discord provides a necessary and sufficient condition for Markovianity of a quantum map. This is used to introduce a measure of non-Markovianity. This measure, however, requires demanding knowledge about the system and the environment. By using a quantum correlation monogamy property and an ancillary system, we propose a simplified measure with fewer requirements. Non-Markovianity is thereby decided by quantum state tomography of the system and the ancilla
Speed limit of quantum dynamics near the event horizon of black holes
, Article Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics ; Volume 810 , November , 2020 ; Maleki, A ; Sharif University of Technology
Elsevier B. V
2020
Abstract
Quantum mechanics imposes a fundamental bound on the minimum time required for the quantum systems to evolve between two states of interest. This bound introduces a limit on the speed of the dynamical evolution of the systems, known as the quantum speed limit. We show that black holes can drastically affect the speed limit of a fermionic quantum system subjected to an open quantum dynamics. As we demonstrate, the quantum speed limit can enhance at the vicinity of a black hole's event horizon in the Schwarzschild spacetime. © 2020 The Author(s)
Quantum detailed balance conditions and fluctuation relations for thermalizing quantum dynamics
, Article Physical Review E ; Volume 98, Issue 5 , 2018 ; 24700045 (ISSN) ; Benatti, F ; Floreanini, R ; Marcantoni, S ; Golshani, M ; Tayefeh Rezakhani, A ; Sharif University of Technology
American Physical Society
2018
Abstract
Quantum detailed balance conditions and quantum fluctuation relations are two important concepts in the dynamics of open quantum systems: both concern how such systems behave when they thermalize because of interaction with an environment. We prove that for thermalizing quantum dynamics the quantum detailed balance conditions yield validity of a quantum fluctuation relation (where only forward-time dynamics is considered). This implies that to have such a quantum fluctuation relation (which in turn enables a precise formulation of the second law of thermodynamics for quantum systems) it suffices to fulfill the quantum detailed balance conditions. We, however, show that the converse is not...