scholarly journals Quantum dynamics intervened by repeated nonselective measurements

2017 ◽  
Vol 15 (08) ◽  
pp. 1740027
Author(s):  
Sergey N. Filippov
Keyword(s):  
System Dynamics ◽  
Master Equation ◽  
Quantum System ◽  
Quantum Dynamics ◽  
Open Quantum System ◽  
Hamiltonian Dynamics ◽  
Time Dependent ◽  
Zener Model ◽  
Diabatic States ◽  
Measurement Basis

We derive the theory of open quantum system dynamics intervened by a series of nonselective measurements. We analyze the cases of time-independent and time-dependent Hamiltonian dynamics between the measurements and find the approximate master equation in the stroboscopic limit. We also consider a situation, in which the measurement basis changes in time, and illustrate it by nonselective measurements in the basis of diabatic states of the Landau–Zener model.

scholarly journals Accessible coherence in open quantum system dynamics

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 249 ◽  
Author(s):  
María García Díaz ◽  
Benjamin Desef ◽  
Matteo Rosati ◽  
Dario Egloff ◽  
John Calsamiglia ◽  
...  
Keyword(s):  
System Dynamics ◽  
Quantum System ◽  
Physical Process ◽  
Quantum Coherence ◽  
Open Quantum System ◽  
Time Dependent ◽  
Open Quantum ◽  
Finite Set ◽  
General Time ◽  
Sequential Measurements

Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time. Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times. However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for all triples of consecutive times. We reduce this to a finite set of d(d−1) conditions, where d is the dimension of the quantum system, provided that the generator is time-independent. Further conditions are derived for the more general time-dependent case. The application of this result to the case of a qubit dynamics allows us to elucidate which kind of noise gives rise to non-coherence-generation-and-detection.

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 Correlation-Picture Approach to Open-Quantum-System Dynamics

2020 ◽  
Vol 10 (4) ◽  
Author(s):  
S. Alipour ◽  
A. T. Rezakhani ◽  
A. P. Babu ◽  
K. Mølmer ◽  
M. Möttönen ◽  
...  
Keyword(s):  
System Dynamics ◽  
Quantum System ◽  
Open Quantum System ◽  
Open Quantum

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.

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