Relativistic generalizations of gravity-induced localization models

Filippo, Sergio De; Maimone, Filippo

doi:10.1016/j.physletb.2004.01.031

Cited by 5 publications

(5 citation statements)

References 24 publications

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“…Furthermore the evolution of the density matrix is compatible with the expectations leading to the phenomenological spontaneous localization models [4], as it was argued that they should be both nonlinear and nonunitary. However, at variance with them, it does not present obstructions consistent with its special-relativistic extension [14].…”

Section: Introductionmentioning

confidence: 84%

A two-particle simulation of nonunitary Newtonian gravity

2018

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The result of a numerical simulation of two interacting particles in the framework of Nonunitary Newtonian Gravity is presented here. Particles are held close together by a 3d harmonic trap and interact with each other via an 'electrical' delta-like potential and via the ordinary Newtonian term, together with a fluctuational nonunitary counterpart of the latter. Fundamental nonunitarity can be seen as arising from the interaction of the physical degrees of freedom with (gravitational) hidden copies of them. Starting from an energy eigenstate within the ordinary setting, it is shown that, while energy expectation remains constant, a slow net variation of the von Neumann entropy for the system as a whole takes place, with a small modulation induced on the relative entanglement entropy of the two particles. Besides, the simulation shows explicitly how fundamental gravity-induced entropy can be clearly distinguished from the subjective notion of coarse-grained entropy, i.e. from the entropy of one particle with respect to the 'environment' of the other.

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Section: Introductionmentioning

confidence: 84%

A two-particle simulation of nonunitary Newtonian gravity

2018

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“…The most attractive feature of the model is precisely this possibility to address simultaneously, by a nonunitary version of Newtonian gravity without any free parameter, classically equivalent to the standard one, two unsettled questions: the quantum foundations of the second law and the transition to classicality. Another feature of the nonrelativistic model is the absence of any obstruction to its special-relativistic extension, at variance with other localization models [8].…”

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confidence: 96%

Entropic localization in non-unitary Newtonian gravity

Filippo

Maimone

2004

Entropy

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“…Phase squeezing or phase QND measurement does not lead to center-of-mass changes, which are especially interesting for massive particles, as this degree of freedom is coupled directly to the gravity field. Due to problems in quantizing gravity, there have been suggestions that gravitational effects may lead to wave-packet collapse and/or dissipation [12,13,14,16,17]. While this remains speculative, it is clearly an area of quantum mechanics where there are no existing tests.…”

Section: Introductionmentioning

confidence: 99%

Quantum limits to center-of-mass measurements

Vaughan¹,

Drummond²,

Leuchs³

2007

Phys. Rev. A

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We discuss the issue of measuring the mean position ͑center of mass͒ of a group of bosonic or fermionic quantum particles, including particle number fluctuations. We introduce a standard quantum limit for these measurements at ultralow temperatures, and discuss this limit in the context of both photons and ultracold atoms. In the case of non-interacting harmonically trapped fermions, we present evidence that the Pauli exclusion principle has a strongly beneficial effect, giving rise to a 1 / N scaling in the position standard deviation-as opposed to a 1 / ͱ N scaling for bosons. The difference between the actual mean-position fluctuation and this limit is evidence for quantum wave-packet spreading in the center of mass. This macroscopic quantum effect cannot be readily observed for noninteracting particles, due to classical pulse broadening. For this reason, we also study the evolution of photonic and matter-wave solitons, where classical dispersion is suppressed. In the photonic case, we show that the intrinsic quantum diffusion of the mean position can contribute significantly to uncertainties in soliton pulse arrival times. We also discuss ways in which the relatively long lifetimes of attractive bosons in matter-wave solitons may be used to demonstrate quantum interference between massive objects composed of thousands of particles.

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Relativistic generalizations of gravity-induced localization models

Cited by 5 publications

References 24 publications

A two-particle simulation of nonunitary Newtonian gravity

A two-particle simulation of nonunitary Newtonian gravity

Entropic localization in non-unitary Newtonian gravity

Quantum limits to center-of-mass measurements

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