Quantum restrictions for continuous observation of an oscillator

Mensky, Michael B.

doi:10.1103/physrevd.20.384

Cited by 120 publications

(119 citation statements)

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Section: £äçAeçðëçunclassified

Decoherence and the theory of continuous quantum measurements

Menskii¹

1998

Uspekhi Fizicheskikh Nauk

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Decoherence and the theory of continuous quantum measurements

Menskii¹

1998

Uspekhi Fizicheskikh Nauk

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“…Clearly, an issue remains to be addressed, namely, the choice of our weight functional. In order to solve this difficulty, let us mention that the results coming from a Heaveside weight functional [133] and those coming from a gaussian one [130] coincide up to the order of magnitude. Therefore we may consider a gaussian weight functional as an approximation to the correct expression.…”

Section: Consider Now the Following Two Definitionsmentioning

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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“…On the other hand, it means that instead of simple abrupt collapse, 19 we have to deal with a theory of continuous (weak) mea-surements of a single quantum system. The development of such theories started long ago 20,21,22 and has attracted most attention in quantum optics. 23,24,25 Despite the similarity of their underlying principles, the theories may differ significantly in formalism and area of application; for solid-state qubits a "Bayesian" theory was developed relatively recently.…”

Section: Introductionmentioning

confidence: 99%

Quantum Zeno stabilization in weak continuous measurement of two qubits

Ruskov

Korotkov²,

Mizel³

2006

Phys. Rev. B

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We have studied quantum coherent oscillations of two qubits under continuous measurement by a symmetrically coupled mesoscopic detector. The analysis is based on a Bayesian formalism that is applicable to individual quantum systems. Measurement continuously collapses the two-qubit system to one of the sub-spaces of the Bell basis. For a detector with linear response this corresponds to measurement of the total spin of the qubits. In the other extreme of purely quadratic response the operator σ 1 y σ 2 y + σ 1 z σ 2 z is measured. In both cases, collapse naturally leads to spontaneous entanglement which can be identified by measurement of the power spectrum and/or the average current of the detector. Asymmetry between the two qubits results in evolution between the different measurement subspaces. However, when the qubits are even weakly coupled to the detector, a kind of quantum Zeno effect cancels the gradual evolution and replaces it with rare, abrupt switching events. We obtain the asymptotic switching rates for these events and confirm them with numerical simulations. We show how such switching affects the observable power spectrum on different time scales.

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Quantum restrictions for continuous observation of an oscillator

Cited by 120 publications

References 1 publication

Decoherence and the theory of continuous quantum measurements

Decoherence and the theory of continuous quantum measurements

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

Quantum Zeno stabilization in weak continuous measurement of two qubits

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