Master equation for a quantum system driven by a strong periodic field in the quasienergy representation

1997 ◽  
Vol 246 (1-2) ◽  
pp. 97-114 ◽  
Author(s):  
I. Antoniou ◽  
Yu. Melnikov ◽  
Bi Qiao
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Periodic Field

scholarly journals Equivalence between Redfield- and master-equation approaches for a time-dependent quantum system and coherence control

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
D. O. Soares-Pinto ◽  
M. H. Y. Moussa ◽  
J. Maziero ◽  
E. R. deAzevedo ◽  
T. J. Bonagamba ◽  
...  
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Time Dependent

scholarly journals Quantum dephasing induced by non-Markovian random telegraph noise

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Xiangji Cai
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Conditional Probability ◽  
Quantum Information Processing ◽  
Open Quantum Systems ◽  
Modulation Frequency ◽  
Environmental Noise ◽  
Random Telegraph Noise ◽  
Telegraph Noise ◽  
Generalized Master Equation

AbstractWe theoretically study the dynamical dephasing of a quantum two level system interacting with an environment which exhibits non-Markovian random telegraph fluctuations. The time evolution of the conditional probability of the environmental noise is governed by a generalized master equation depending on the environmental memory effect. The expression of the dephasing factor is derived exactly which is closely associated with the memory kernel in the generalized master equation for the conditional probability of the environmental noise. In terms of three important types memory kernels, we discuss the quantum dephasing dynamics of the system and the non-Markovian character exhibiting in the dynamical dephasing induced by non-Markovian random telegraph noise. We show that the dynamical dephasing of the quantum system does not always exhibit non-Markovian character which results from that the non-Markovian character in the dephasing dynamics depends both on the environmental non-Markovian character and the interaction between the system and environment. In addition, the dynamical dephasing of the quantum system can be modulated by the external modulation frequency of the environment. This result is significant to quantum information processing and helpful for further understanding non-Markovian dynamics of open quantum systems.

scholarly journals Open System Model for Quantum Dynamical Maps with Classical Noise and Corresponding Master Equations

2017 ◽  
Vol 24 (04) ◽  
pp. 1740012 ◽  
Author(s):  
Chahan M. Kropf ◽  
Vyacheslav N. Shatokhin ◽  
Andreas Buchleitner
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Open System ◽  
Open Quantum System ◽  
Master Equations ◽  
Time Limit ◽  
System Model ◽  
Markov Approximation ◽  
Quantum Dynamical ◽  
Short Time

We show how random unitary dynamics arise from the coupling of an open quantum system to a static environment. Subsequently, we derive a master equation for the reduced system random unitary dynamics and study three specific cases: commuting system and interaction Hamiltonians, the short-time limit, and the Markov approximation.

QUANTUM HAMILTONIANS AND SELF-ORGANISED CRITICALITY

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3463-3471 ◽  
Author(s):  
JOHN CARDY
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Critical Behavior ◽  
Classical Limit ◽  
Particle Model ◽  
Hydrodynamic Behavior ◽  
One Dimensional ◽  
Self Organised Criticality ◽  
Stochastic Particle

We consider a stochastic particle model which has been proposed to exhibit the essential features of self-organised criticality. The master equation is reformulated as a one-dimensional quantum system of interacting bosons. The hydrodynamic behavior of the system is recovered as the classical limit of the quantum system, and the problem of fluctuations, important for the critical behavior, is discussed.

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