scholarly journals A Nonlinear Master Equation for Open Quantum Systems

2021 ◽  
pp. 2130004
Author(s):  
Roumen Tsekov
Keyword(s):  
Brownian Motion ◽  
Nonlinear Equation ◽  
Master Equation ◽  
Equilibrium Solution ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Brownian Particles ◽  
Heisenberg Relation ◽  
Nonlinear Master Equation

A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. In contrast to linear alternatives, its equilibrium solution is exactly the canonical Gibbs density matrix. The corresponding nonlinear equation for the Wigner function accounts rigorously for the thermo-quantum entropy. It reduces at large friction to the quantum Smoluchowski equation in the coordinate subspace. The previously derived Maxwell–Heisenberg relation for the nonequilibrium momentum dispersion of quantum Brownian particles is confirmed as well as the related quantum generalization of the classical Einstein law of Brownian motion.

scholarly journals Brownian motion on Lie groups and open quantum systems

2010 ◽  
Vol 43 (26) ◽  
pp. 265301 ◽  
Author(s):  
P Aniello ◽  
A Kossakowski ◽  
G Marmo ◽  
F Ventriglia
Keyword(s):  
Brownian Motion ◽  
Lie Groups ◽  
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.

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