scholarly journals On a tilted Liouville-master equation of open quantum systems

2021 ◽  
Author(s):  
Fei Liu
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

scholarly journals Adiabatically steered open quantum systems: Master equation and optimal phase

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
J. Salmilehto ◽  
P. Solinas ◽  
J. Ankerhold ◽  
M. Möttönen
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

scholarly journals Post-Markov master equation for the dynamics of open quantum systems

2000 ◽  
Vol 265 (5-6) ◽  
pp. 331-336 ◽  
Author(s):  
Ting Yu ◽  
Lajos Diósi ◽  
Nicolas Gisin ◽  
Walter T. Strunz
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markov Master Equation

NON-MARKOVIAN OPEN QUANTUM SYSTEMS: SYSTEM–ENVIRONMENT CORRELATIONS IN DYNAMICAL MAPS

2011 ◽  
Vol 09 (07n08) ◽  
pp. 1617-1634 ◽  
Author(s):  
CÉSAR A. RODRÍGUEZ-ROSARIO ◽  
E. C. G. SUDARSHAN
Keyword(s):  
Master Equation ◽  
Quantum Discord ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Complete Positivity ◽  
System Environment ◽  
Open Quantum ◽  
Mathematical Properties ◽  
Classical Correlations ◽  
The Relationship

We construct a non-Markovian dynamical map that accounts for systems correlated to the environment. We refer to it as a canonical dynamical map, which forms an evolution family. The relationship between inverse maps and correlations with the environment is established. The mathematical properties of complete positivity is related to classical correlations, according to quantum discord, between the system and the environment. A generalized non-Markovian master equation is derived from the canonical dynamical map.

scholarly journals Revisiting the Quantum Open System Dynamics of Central Spin Model

Quanta ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 55-64
Author(s):  
Samyadeb Bhattacharya ◽  
Subhashish Banerjee
Keyword(s):  
System Dynamics ◽  
Master Equation ◽  
Open System ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Spin Model ◽  
Open Quantum ◽  
Spin Bath ◽  
Quantum Open System ◽  
Kraus Operators

In this work, we revisit the theory of open quantum systems from the perspective of fermionic baths. Specifically, we concentrate on the dynamics of a central spin half particle interacting with a spin bath. We have calculated the exact reduced dynamics of the central spin and constructed the Kraus operators in relation to that. Further, the exact Lindblad type canonical master equation corresponding to the reduced dynamics is constructed. We have also briefly touched upon the aspect of non-Markovianity from the backdrop of the reduced dynamics of the central spin.Quanta 2021; 10: 55–64.

scholarly journals A thermodynamically consistent Markovian master equation beyond the secular approximation

2021 ◽  
Author(s):  
Patrick Potts ◽  
Alex Kalaee ◽  
Andreas Wacker
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Memory Effects ◽  
Master Equations ◽  
Open Quantum ◽  
Laws Of Thermodynamics ◽  
Versatile Tool ◽  
Approximate Nature ◽  
Secular Approximation

Abstract Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of thermodynamics when no secular approximation is performed in their derivation. Here we introduce a Markovian master equation that is thermodynamically consistent and provides an accurate description whenever memory effects can be neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for the thermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limited resolution for heat. Our results enable a thermodynamically consistent description of a variety of systems where the secular approximation breaks down.

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