Quantum coherence under quantum fluctuation of spacetime

AbstractWe examine the behaviors of quantum coherence (QC) for an uniformly accelerated gravitationally polarizable object interacting with fluctuating quantum gravitational field. We firstly derive the master equation that governs the system evolution. Then we discuss the evolution of QC affected by quantum gravitational fluctuation and acceleration. It is found that, within the framework of open quantum system, the equilibrium state of the gravitationally polarizable object is driven to a thermal incoherent state, which implies an accelerated gravitationally polarizable object immersing in a bath of fluctuating gravitational field can generate Unruh-like effect. In addition, QC under quantum gravitational fluctuation only can last for some time. In general, QC exponentially decays to zero with increasing evolution time and acceleration which is similar to the case of matter field.

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Stimulated Raman adiabatic passage in an open quantum system: Master equation approach

Physical Review A ◽

10.1103/physreva.81.053847 ◽

2010 ◽

Vol 81 (5) ◽

Cited By ~ 30

Author(s):

M. Scala ◽

B. Militello ◽

A. Messina ◽

N. V. Vitanov

Keyword(s):

Master Equation ◽

Quantum System ◽

Open Quantum System ◽

Equation Approach ◽

Adiabatic Passage ◽

Open Quantum ◽

Stimulated Raman Adiabatic Passage ◽

Master Equation Approach ◽

Stimulated Raman

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Master Equation and Control of an Open Quantum System with Leakage

Physical Review Letters ◽

10.1103/physrevlett.102.080405 ◽

2009 ◽

Vol 102 (8) ◽

Cited By ~ 43

Author(s):

Lian-Ao Wu ◽

Gershon Kurizki ◽

Paul Brumer

Keyword(s):

Master Equation ◽

Quantum System ◽

Open Quantum System ◽

Open Quantum ◽

And Control

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Nonadiabatic Geometric Phases Induced by Master Equation in Open Quantum System

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1251-2 ◽

2012 ◽

Vol 51 (11) ◽

pp. 3647-3654 ◽

Cited By ~ 10

Author(s):

Z. S. Wang

Keyword(s):

Master Equation ◽

Quantum System ◽

Open Quantum System ◽

Geometric Phases ◽

Open Quantum

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Accessible coherence in open quantum system dynamics

Quantum ◽

10.22331/q-2020-04-02-249 ◽

2020 ◽

Vol 4 ◽

pp. 249 ◽

Cited By ~ 1

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.

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FOKKER–PLANCK-BASED CONTROL OF A TWO-LEVEL OPEN QUANTUM SYSTEM

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202513500255 ◽

2013 ◽

Vol 23 (11) ◽

pp. 2039-2064 ◽

Cited By ~ 4

Author(s):

M. ANNUNZIATO ◽

A. BORZI

Keyword(s):

Master Equation ◽

Quantum System ◽

Open Quantum System ◽

Planck Equation ◽

Open Loop ◽

Optimality System ◽

Environment Interaction ◽

Open Quantum ◽

Fokker Planck Equation ◽

Fokker Planck

The control of a two-level open quantum system subject to dissipation due to environment interaction is considered. The evolution of this system is governed by a Lindblad master equation which is augmented by a stochastic term to model the effect of time-continuous measurements. In order to control this stochastic master equation model, a Fokker–Planck control framework is investigated. Within this strategy, the control objectives are defined based on the probability density functions of the two-level stochastic process and the controls are computed as minimizers of these objectives subject to the constraints represented by the Fokker–Planck equation. This minimization problem is characterized by an optimality system including the Fokker–Planck equation and its adjoint. This optimality system is approximated by a second-order accurate, stable, conservative and positive-preserving discretization scheme. The implementation of the resulting open-loop controls is realized with a receding-horizon algorithm over a sequence of time windows. Results of numerical experiments demonstrate the effectiveness of the proposed approach.

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