Gravitational effects in quantum mechanics

Plato, A. D. K.; Hughes, Catherine; Kim, M. S.

doi:10.1080/00107514.2016.1153290

Cited by 26 publications

(25 citation statements)

References 105 publications

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“…Our work may thus improve the performance of optical techniques in quantum imaging [30] and possibly gravitational wave astronomy [31], as well as optomechanical systems employed in fundamental studies [32,33]. Some of these have been studied experimentally in quantum optics, where noise reduction has been observed using correlated photon pairs [34] and multimode squeezed light [35].…”

Section: Introductionmentioning

confidence: 99%

Gaussian systems for quantum-enhanced multiple phase estimation

2016

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Original citation:Gagatsos, Christos N., Branford, Dominic and Datta, Animesh. (2016) Gaussian systems for quantum-enhanced multiple phase estimation. Physical Review A, 94 (4). 042342. Permanent WRAP URL: http://wrap.warwick.ac.uk/83269 Copyright and reuse:The Warwick Research Archive Portal (WRAP) makes this work by researchers of the University of Warwick available open access under the following conditions. Copyright © and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable the material made available in WRAP has been checked for eligibility before being made available.Copies of full items can be used for personal research or study, educational, or not-for-profit purposes without prior permission or charge. Provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. Publisher statement: © 2016 American Physical Society A note on versions:The version presented here may differ from the published version or, version of record, if you wish to cite this item you are advised to consult the publisher's version. Please see the 'permanent WRAP URL' above for details on accessing the published version and note that access may require a subscription. For a fixed average energy, the simultaneous estimation of multiple phases can provide a better total precision than estimating them individually. We show this for a multimode interferometer with a phase in each mode, using Gaussian inputs and passive elements, by calculating the covariance matrix. The quantum Cramér-Rao bound provides a lower bound to the covariance matrix via the quantum Fisher information matrix, whose elements we derive to be the covariances of the photon numbers across the modes. We prove that this bound can be saturated. In spite of the Gaussian nature of the problem, the calculation of non-Gaussian integrals is required, which we accomplish analytically. We find our simultaneous strategy to yield no more than a factor-of-2 improvement in total precision, possibly because of a fundamental performance limitation of Gaussian states. Our work shows that no modal entanglement is necessary for simultaneous quantum-enhanced estimation of multiple phases.

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Section: Introductionmentioning

confidence: 99%

Gaussian systems for quantum-enhanced multiple phase estimation

2016

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“…This assumption has been suggested in quantum gravity [5][6][7][8], * leandros@uoi.gr quantum geometry [9] as well as in string theory [10][11][12][13][14]. It is based on the expectation that high energies used in the resolution of small scales will lead to significant disturbances of spacetime structure by their gravitational effects [15]. Such a disturbance which may take the form of a black hole, could prohibit the probe of scales smaller than a cutoff which is expected to be of the order of the Planck scale.…”

Section: Introductionmentioning

confidence: 99%

Cosmological horizons, uncertainty principle, and maximum length quantum mechanics

Perivolaropoulos¹

2017

Phys. Rev. D

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The cosmological particle horizon is the maximum measurable length in the Universe. The existence of such a maximum observable length scale implies a modification of the quantum uncertainty principle. Thus due to non-locality of quantum mechanics, the global properties of the Universe could produce a signature on the behaviour of local quantum systems. A Generalized Uncertainty Principle (GUP) that is consistent with the existence of such a maximum observable length scale lmax is ∆x∆p ≥ 2 √ α. Using appropriate representation of the position and momentum quantum operators we show that the spectrum of the one dimensional harmonic oscillator becomesĒn = 2n + 1 + λnᾱ whereĒn ≡ 2En/ ω is the dimensionless properly normalized n th energy level,ᾱ is a dimensionless parameter withᾱ ≡ α /mω and λn ∼ n 2 for n 1 (we show the full form of λn in the text). For a typical vibrating diatomic molecule and lmax = c/H0 we findᾱ ∼ 10 −77 and therefore for such a system, this effect is beyond reach of current experiments. However, this effect could be more important in the early universe and could produce signatures in the primordial perturbation spectrum induced by quantum fluctuations of the inflaton field.

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“…One route to finding such a theory is through the study of phenomenological models, which can motivate conceptual and experimental studies of the interplay between quantum mechanics and general relativity [1][2][3]. Experimental bounds on a variety of such models have been obtained, both from the observed validity of quantum mechanics in a variety of systems and from studies focussed on experimentally testing for such phenomena [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Amplified transduction of Planck-scale effects using quantum optics

et al. 2017

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The unification of quantum mechanics and gravity remains as one of the primary challenges of present-day physics. Quantum-gravity-inspired phenomenological models offer a window to explore potential aspects of quantum gravity including qualitatively new behaviour that can be experimentally tested. One such phenomenological model is the generalized uncertainty principle (GUP), which predicts a modified Heisenberg uncertainty relation and a deformed canonical commutator. It was recently shown that optomechanical systems offer significant promise to put stringent experimental bounds on such models. In this paper, we introduce a scheme to increase the sensitivity of these experiments with an extended sequence of pulsed optomechanical interactions. We also analyze the effects of optical phase noise and optical loss and present a strategy to mitigate such deleterious effects.

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Gravitational effects in quantum mechanics

Cited by 26 publications

References 105 publications

Gaussian systems for quantum-enhanced multiple phase estimation

Gaussian systems for quantum-enhanced multiple phase estimation

Cosmological horizons, uncertainty principle, and maximum length quantum mechanics

Amplified transduction of Planck-scale effects using quantum optics

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