scholarly journals Fluctuation-dissipation relation for open quantum systems in a nonequilibrium steady state

2020 ◽  
Vol 102 (10) ◽  
Author(s):  
Jen-Tsung Hsiang ◽  
Bei-Lok Hu
Keyword(s):  
Steady State ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Nonequilibrium Steady State ◽  
Open Quantum ◽  
Fluctuation Dissipation

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

scholarly journals Perturbation theory for open quantum systems at the steady state

2018 ◽  
Vol 10 ◽  
pp. 353-355 ◽  
Author(s):  
Edgar A. Gómez ◽  
Jorge David Castaño-Yepes ◽  
Saravana Prakash Thirumuruganandham
Keyword(s):  
Perturbation Theory ◽  
Steady State ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

scholarly journals “What Is Life?”: Open Quantum Systems Approach

2021 ◽  
Author(s):  
Andrei Khrennikov ◽  
Irina Basieva
Keyword(s):  
Steady State ◽  
Quantum Dynamics ◽  
Systems Approach ◽  
Open Quantum Systems ◽  
Quantitative Measure ◽  
Second Law Of Thermodynamics ◽  
Quantum Systems ◽  
Order Structure ◽  
Initial State ◽  
Open Quantum

Abstract Recently the quantum formalism and methodology started to be applied to modeling of information processing in biosystems, mainly to the process of decision making and psychological behavior (but some applications to microbiology and genetics are considered as well). Since a living system is fundamentally open (an isolated biosystem is dead), the theory of open quantum systems is the most powerful tool for life-modeling. In this paper, we turn to the famous Schrödinger book “What is life?” and reformulate his speculations in terms of this theory. Schrödinger pointed toorder preservation as one of the main distinguishing features of biosystems. Entropy is the basic quantitative measure of order. In physical systems, entropy has the tendency to increase (Second Law of Thermodynamics for isolated classical systems and dissipation in open classical and quantum systems). Schrödinger emphasized the ability of biosystems to beat this tendency. We demonstrate that systems processing information in the quantum-like way can preservethe order-structure expressed by the quantum (von Neumann or linear) entropy. We emphasize the role of the special class of quantum dynamics and initial states generating the camel-like graphs for entropy-evolution in the process of interaction with a new environment ℰ: 1) entropy (disorder) increasing in the process of adaptation to the specific features of ℰ; 2) entropy decreasing (order increasing) resulting from adaptation; 3) the restoration of order or even its increase for limiting steady state. In the latter case the steady state entropy can be even lower than the entropy of the initial state.

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