Continuous quantum measurements of a particle in a Paul trap

Camacho, Abel; Camacho-Galván, Abel

doi:10.1016/s0375-9601(98)00586-6

Cited by 10 publications

(9 citation statements)

References 16 publications

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“…The first problem that in this model we face concerns the correctness of the theoretical predictions of RPIF. At this respect we must say that even though there are already theoretical results [23] which could render a feasible framework against the one these predictions could be confronted, the problem still remains open. The reason for this lies in the fact that those experiments that are required (for example the continuous measurement of the position of a particle in a Paul trap [24]) have not yet been carried out.…”

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confidence: 99%

On a Quantum Equivalence Principle

Quintana

1999

Mod. Phys. Lett. A

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The logical consistency of a description of quantum theory in the context of general relativity, which includes minimal coupling principle, is analyzed from the point of view of Feynman's formulation in terms of path integrals. We will argue from this standpoint and use an argument that claims the incompleteness of the general relativistic description of gravitation, which emerges as a consequence of the gravitationally induced phases of the so-called flavor-oscillation clocks, that the postulates of quantum theory are logically incompatible with the usual minimal coupling principle. It will be shown that this inconsistency could emerge from the fact that the required geometrical information to calculate the probability of finding a particle at any point of the respective manifold does not lie in a region with finite volume. Then we put forth a new quantum minimal coupling principle in terms of a restricted path integral, and along the ideas of this model not only the propagator of a free particle is calculated but also the conditions under which we recover Feynman's case for a free particle are deduced. The effect on diatomic interstellar molecules is also calculated. The already existing relation between restricted path integral formalism and decoherence model will enable us to connect the issue of a quantum minimal coupling principle with the collapse of the wave function. From this last remark we will claim that the geometrical structure of the involved manifold acts as, always present, a measuring device on a quantum particle. In other words, in this proposal we connect the issue of a quantum minimal coupling principle with a claim which states that gravity could be one of the physical entities which results in the collapse of the wave function. * E-mail: acamacho@aip.de 275 Mod. Phys. Lett. A 1999.14:275-288. Downloaded from www.worldscientific.com by UNIVERSITY OF TORONTO on 02/03/15. For personal use only.

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confidence: 99%

On a Quantum Equivalence Principle

Quintana

1999

Mod. Phys. Lett. A

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“…But even though there are already some theoretical predictions that could render a framework which could allow us to confront RPIF against experimental outputs [8], it is also true that more results are needed in this direction.…”

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Gravity-induced interference and continuous quantum measurements

Camacho¹

1999

Physics Letters A

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Gravity-induced quantum interference is a remarkable effect that has already been confirmed experimentally, and it is a phenomenon in which quantum mechanics and gravity play simultaneously an important role. Additionally, a generalized version of this interference experiment could offer the possibility to confront against measurement outputs one of the formalisms that claim to give an explanation to the so called quantum measurement problem, namely the restricted path integral formalism. In this work we will analyze a possible extension of Colella, Overhauser, and Werner experiment and find that in the context of the restricted path integral formalism we obtain new interference terms that could be measured in an extended version of this experimental construction. These new terms not only show, as in the first experiment, that at the quantum level gravity is not a purely geometric effect, it still depends on mass, but also show that interference does depend on some parameters that appear in the restricted path integral formalism, thus offering the possibility to have a testing framework for its theoretical predictions. *

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“…In this direction some works, stemming from the aforementioned proposals, have been done. They render theoretical predictions that could be tested against the experiment [4,5,6].…”

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confidence: 99%

Quantum Nondemolition Measurements of a Particle in an Inhomogeneous Gravitational Field

Camacho

2001

General Relativity and Gravitation

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Dedicated to Heinz Dehnen in honour of his 65 th birthday.In this work we obtain a family of quantum nondemolition variables for the case of a particle moving in an inhomogeneous gravitational field. Afterwards, we calculate the corresponding propagator, and deduce the probabilities associated with the possible measurement outputs. The comparison, with the case in which the position is being monitored, will allow us to find the differences with respect to the case of a quantum demolition measuring process. *

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Continuous quantum measurements of a particle in a Paul trap

Cited by 10 publications

References 16 publications

On a Quantum Equivalence Principle

On a Quantum Equivalence Principle

Gravity-induced interference and continuous quantum measurements

Quantum Nondemolition Measurements of a Particle in an Inhomogeneous Gravitational Field

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