Nonperturbative decay of an atomic system in a cavity

Garraway, B. M.

doi:10.1103/physreva.55.2290

Cited by 452 publications

(476 citation statements)

References 31 publications

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“…In the following model, after the phase gate operation and before the measurement performed, the qubit is assumed as an atom coupled to a reservoir consisting of harmonic oscillators in the vacuum. The total Hamiltonian of this typical model [1,23,24] reads…”

Section: Two-level Systemmentioning

confidence: 99%

Quantum Fisher information flow and non-Markovian processes of open systems

2010

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We establish an information-theoretic approach for quantitatively characterizing the NonMarkovianity of open quantum processes. Here, the quantum Fisher information (QFI) flow provides a measure to statistically distinguish Markovian and non-Markovian processes. A basic relation between the QFI flow and non-Markovianity is unveiled for quantum dynamics of open systems. For a class of time-local master equations, the exactly-analytic solution shows that for each fixed time the QFI flow is decomposed into additive sub-flows according to different dissipative channels.

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Section: Two-level Systemmentioning

confidence: 99%

Quantum Fisher information flow and non-Markovian processes of open systems

2010

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“…To address fundamental mathematical difficulties associated with these continua a number of new theoretical techniques have been developed [1,19,28,29,30]. Here, to deal with the structured continuum at hand, we follow a discretization approach developed in the context of photonic band-gap continua [31].…”

Section: Heisenberg Equations Of Motionmentioning

confidence: 99%

Non-Markovian dynamics in atom-laser outcoupling from a double-well Bose–Einstein condensate

Lazarou

Nikolopoulos

Lambropoulos

2007

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. We investigate the dynamics of a continuous atom laser based on the merging of independently formed atomic condensates. In a first attempt to understand the dynamics of the system, we consider two independent elongated Bose-Einstein condensates which approach each other and focus on intermediate inter-trap distances so that a two-mode model is well justified. In the framework of a mean-field theory, we discuss the quasi steady-state population of the traps as well as the energy distribution of the outcoupled atoms.

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“…Many analytical methods and numerical techniques have been developed to treat non-Markovian processes [2][3][4][5][6][7][8][9][10][11]. In addition to their importance in addressing fundamental questions [12], this is mainly due to the applications non-Markovian systems find in many branches of physics.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological memory-kernel master equations and time-dependent Markovian processes

et al. 2010

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Do phenomenological master equations with memory kernel always describe a non-Markovian quantum dynamics characterized by reverse flow of information? Is the integration over the past states of the system an unmistakable signature of non-Markovianity? We show by a counterexample that this is not always the case. We consider two commonly used phenomenological integrodifferential master equations describing the dynamics of a spin 1/2 in a thermal bath. By using a recently introduced measure to quantify non-Markovianity [H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)] we demonstrate that as far as the equations retain their physical sense, the key feature of non-Markovian behavior does not appear in the considered memory kernel master equations. Namely, there is no reverse flow of information from the environment to the open system. Therefore, the assumption that the integration over a memory kernel always leads to a non-Markovian dynamics turns out to be vulnerable to phenomenological approximations. Instead, the considered phenomenological equations are able to describe time-dependent and uni-directional information flow from the system to the reservoir associated to time-dependent Markovian processes.

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Nonperturbative decay of an atomic system in a cavity

Cited by 452 publications

References 31 publications

Quantum Fisher information flow and non-Markovian processes of open systems

Quantum Fisher information flow and non-Markovian processes of open systems

Non-Markovian dynamics in atom-laser outcoupling from a double-well Bose–Einstein condensate

Phenomenological memory-kernel master equations and time-dependent Markovian processes

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