Measurement Quantum Mechanics and Experiments on Quantum Zeno Effect

Presilla, Carlo; Onofrio, Roberto; Tambini, Ubaldo

doi:10.1006/aphy.1996.0052

Cited by 111 publications

(125 citation statements)

References 59 publications

(117 reference statements)

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“…the beam variance. This qualitatively agrees with the result established in [11], concerning the direct proportionality between the measurement coupling constant and the temperature of the bath in which the meter is embedded [11]. Unlike the parameter γ, it is not possible to infer a simple relationship relating κ to the various parameters of the realistic configuration.…”

Section: Experimental Comparisonsupporting

confidence: 85%

“…In this article, we analyze a model for QND measurements based on Lindblad formalism, specializing it to measurement strategies aimed at describing continuous quantum nondemolition counting of photons confined in a cavity or atoms interrogated to be in a certain internal state. The system is described by a density matrix with an evolution equation introduced for generic open quantum systems [10] and already applied to other, demolitive measurement schemes such as the ones involving the quantum Zeno effect in hyperfine atomic spectroscopy [11], optogravitational cavities [12], superconducting circuits [13], and trapped ions [14]. In both cases the evolution of the coherence of the monitored system is studied, providing a simple picture of its decay during continuous QND measurements.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of decoherence in continuous atom-optical quantum nondemolition measurements

Onofrio

Viola

1998

Phys. Rev. A

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The Lindblad approach to continuous quantum measurements is applied to a system composed of a two-level atom interacting with a stationary quantized electromagnetic field through a dispersive coupling fulfilling quantum nondemolition criteria. Two schemes of measurements are examined. The first one consists in measuring the atomic electric dipole, which indirectly allows one to infer the photon distribution inside the cavity. The second one schematizes a measurement of photon momentum, which permits to describe the atomic level distribution. Decoherence of the corresponding reduced density matrices is studied in detail for both cases, and its relationship to recent experiments is finally discussed.03.65. Bz, 42.50.Ar, 42.50.Md

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Section: Experimental Comparisonsupporting

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Dynamics of decoherence in continuous atom-optical quantum nondemolition measurements

Onofrio

Viola

1998

Phys. Rev. A

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“…͑17͒ for multidetector setup, complies with a Lindblad scheme. 33,34 We will show this explicitly in Appendix B. This guarantees the positivity of the "big" density matrix…”

Section: Methodsmentioning

confidence: 86%

Statistics of measurement of noncommuting quantum variables: Monitoring and purification of a qubit

Wei

Nazarov

2008

Phys. Rev. B

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We address continuous weak linear quantum measurement and argue that it is best understood in terms of statistics of the outcomes of the linear detectors measuring a quantum system, for example, a qubit. We mostly concentrate on a setup consisting of a qubit and three independent detectors that simultaneously monitor three noncommuting operator variables, those corresponding to three pseudospin components of the qubit. We address the joint probability distribution of the detector outcomes and the qubit variables. When analyzing the distribution in the limit of big values of the outcomes, we reveal a high degree of correspondence between the three outcomes and three components of the qubit pseudospin after the measurement. This enables a highfidelity monitoring of all three components. We discuss the relation between the monitoring described and the algorithms of quantum information theory that use the results of the partial measurement. We develop a proper formalism to evaluate the statistics of continuous weak linear measurement. The formalism is based on Feynman-Vernon approach, roots in the theory of full counting statistics, and boils down to a Bloch-Redfield equation augmented with counting fields.

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“…Though there are several attempts to solve this old conundrum (some of them are equivalent [129]), here we will explain the restricted path integral formalism (RPIF) [130]. This particular choice has behind it a sound reason.…”

Section: Non-demolition Variables and Restricted Path Integralmentioning

confidence: 99%

Test of some fundamental principles in physics via quantum interference with neutrons and photons

Camacho¹,

Camacho-Galván²

2007

Rep. Prog. Phys.

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The limitations and possibilities that the concept of quantum interference offers as a tool for testing fundamental physics are explored here. The use of neutron interference as an instrument to confront against measurement readouts some of the principles behind metric theories of gravity will be analyzed, as well as some discrepancies between theory and experiment. The main restrictions that this model embodies for the study of some of the features of the structure of space-time will be explicitly pointed out. For instance, the conditions imposed by the necessary use of the semiclassical approximation. Additionally, the role that photon interference could play as an element in this context is also considered. In this realm we explore the differences between first-order and secondorder coherence experiments, and underline the fact that the Hanbury-Brown-Twiss effect could open up some interesting experimental possibilities in the analysis of the structure of space-time.The void, in connection with the description of wave phenomena, implicit in the principles of metric theories is analyzed. The conceptual difficulties, that this void entails, are commented.

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Measurement Quantum Mechanics and Experiments on Quantum Zeno Effect

Cited by 111 publications

References 59 publications

Dynamics of decoherence in continuous atom-optical quantum nondemolition measurements

Dynamics of decoherence in continuous atom-optical quantum nondemolition measurements

Statistics of measurement of noncommuting quantum variables: Monitoring and purification of a qubit

Test of some fundamental principles in physics via quantum interference with neutrons and photons

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