Monte Carlo wave-function method in quantum optics

Mølmer, Klaus; Castin, Yvan; Dalibard, Jean

doi:10.1364/josab.10.000524

Cited by 1,123 publications

(1,043 citation statements)

References 25 publications

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“…We solve the equations numerically in the frame of the quantum trajectory approximation (also called the stochastic wave approximation) described in details in [17,18]. In this approximation the density operator of the system is written as the average of the stochastic wave functionsρ…”

Section: Decoherencementioning

confidence: 99%

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Pawłowski¹,

Ziń²,

Rza̧żewski³

et al. 2011

Phys. Rev. A

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We study the dynamics of ultracold attractive atoms in a weakly linked two potential wells. We consider an unbalanced initial state and monitor dynamics of the population difference between the two wells. The average imbalance between wells undergoes damped oscillations, like in a classical counterpart, but then it revives almost to the initial value. We explain in details the whole behavior using three different models of the system. Furthermore we investigate the sensitivity of the revivals on the decoherence caused by one-and three-body losses. We include the dissipative processes using appropriate master equations and solve them using the stochastic wave approximation method.

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Section: Decoherencementioning

confidence: 99%

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Pawłowski¹,

Ziń²,

Rza̧żewski³

et al. 2011

Phys. Rev. A

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“…8). Hence, the value of any observable O for the quantum system represented by ̺ is equal to the ensemble average of the value of the same observable for each stochastic wave function represented by |ψ [38]: at any time,…”

Section: A Integration Of the Dynamics Equationsmentioning

confidence: 99%

Non-Gaussian velocity distributions in optical lattices

et al. 2004

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We present a detailed experimental study of the velocity distribution of atoms cooled in an optical lattice. Our results are supported by full-quantum numerical simulations. Even though the Sisyphus effect, the responsible cooling mechanism, has been used extensively in many cold atom experiments, no detailed study of the velocity distribution has been reported previously. For the experimental as well as for the numerical investigation, it turns out that a Gaussian function is not the one that best reproduce the data for all parameters. We also fit the data to alternative functions, such as Lorentzians, Tsallis functions and double Gaussians. In particular, a double Gaussian provides a more precise fitting to our results.

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“…Apart from this conceptual insight, the unravelling of a master equation provides also an efficient stochastic simulation method for its numerical integration. In these quantum jump approaches [25,26,27], which are based on the observation that the quantum trajectory (5.95) of a pure state remains pure, one generates a finite ensemble of trajectories such that the ensemble mean approximates the solution of the master equation.…”

Section: Quantum Trajectoriesmentioning

confidence: 99%

Introduction to Decoherence Theory

Hornberger

Entanglement and Decoherence

114

143

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This introduction to the theory of decoherence is aimed at readers with an interest in the science of quantum information. In that field, one is usually content with simple, abstract descriptions of non-unitary "quantum channels" to account for imperfections in quantum processing tasks. However, in order to justify such models of non-unitary evolution and to understand their limits of applicability it is important to know their physical basis. I will therefore emphasize the dynamic and microscopic origins of the phenomenon of decoherence, and will relate it to concepts from quantum information where applicable, in particular to the theory of quantum measurement.The study of decoherence, though based at the heart of quantum theory, is a relatively young subject. It was initiated in the 1970's and 1980's with the work of H. D. Zeh and W. Zurek on the emergence of classicality in the quantum framework. Until that time the orthodox interpretation of quantum mechanics dominated, with its strict distinction between the classical macroscopic world and the microscopic quantum realm. The mainstream attitude concerning the boundary between the quantum and the classical was that this was a purely philosophical problem, intangible by any physical analysis. This changed with the understanding that there is no need for denying quantum mechanics to hold even macroscopically, if one is only able to understand within the framework of quantum mechanics why the macro-world appears to be classical. For instance, macroscopic objects are found in approximate position eigenstates of their center-of-mass, but never in superpositions of macroscopically distinct positions. The original motivation for the study of decoherence was to explain these effective super-selection rules and the apparent emergence of classicality within quantum theory by appreciating the crucial role played by the environment of a quantum system. Hence, the relevant theoretical framework for the study of decoherence is the theory of open quantum systems, which treats the effects of an unThis text corresponds to a chapter in: A. Buchleitner, C. Viviescas, and M. Tiersch (Eds.), Entanglement and Decoherence.

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Monte Carlo wave-function method in quantum optics

Cited by 1,123 publications

References 25 publications

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Non-Gaussian velocity distributions in optical lattices

Introduction to Decoherence Theory

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