scholarly journals Out-of-equilibrium open quantum systems: A comparison of approximate quantum master equation approaches with exact results

2016 ◽  
Vol 93 (6) ◽  
Author(s):  
Archak Purkayastha ◽  
Abhishek Dhar ◽  
Manas Kulkarni
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Quantum Master Equation ◽  
Exact Results ◽  
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

Dynamic Correlations in Open Quantum Systems: The Dephasing Model

2020 ◽  
Vol 27 (02) ◽  
pp. 2050007
Author(s):  
Vasyl’ Ignatyuk
Keyword(s):  
Kinetic Energy ◽  
Open Quantum Systems ◽  
Kinetic Equations ◽  
Quantum Systems ◽  
Quantum Master Equation ◽  
Coupling Constant ◽  
Open Quantum ◽  
Dynamic Correlations ◽  
Exactly Solvable ◽  
Analytical Result

We study the dynamical correlations in open quantum systems on an example of an exactly solvable dephasing model. The system of non-Markovian kinetic equations for the generalized coherence and quasi-temperature is derived up to the 2-nd order in the coupling constant using the generalized quantum master equation [20]. Numerical and analytical solutions of the kinetic equations are obtained. The analytical result shows a redistribution of the real and imaginary parts of the coherence as compared to the exact one. We give a physical interpretation to the quasi-temperature, relating it to the nonequilibrium kinetic energy of the environment.

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.

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