Amplified transduction of Planck-scale effects using quantum optics

Bosso, Pasquale; Das, Saurya; Pikovski, Igor; Vanner, Michael R.

doi:10.1103/physreva.96.023849

Cited by 49 publications

(53 citation statements)

References 45 publications

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“…[30]), in which case Planck scale effects on mesoscopic and macroscopic objects are small, or if it can be applied to the center of mass of an optomechanical oscillator (and other systems) (e.g. [14][15][16][17]), in which case Planck scale effects may be observable with current accuracies. For the latter, it will be a challenge to isolate GUP effects from the rest.…”

Section: Applications and Outlookmentioning

confidence: 99%

“…In the last couple of decades several investigations have been conducted on many aspects and systems of QM, such as Landau levels [10,11], Lamb shift, the case of a potential step and of a potential barrier [10,11], the case of a particle in a box [12], and the theory of angular momentum [13]. Furthermore, potential experimental tests have been proposed considering microscopic [14] or macroscopic Harmonic Oscillators (HO) [15], or using Quantum Optomechanics [16,17]. Therefore our analysis is motivated by the fact that while very accurate systems with very little noise can be constructed, the energy perturbations and other results derived in our paper will always be there, and potentially observable for highly sensitive systems.…”

Section: Introductionmentioning

confidence: 99%

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Planck scale corrections to the harmonic oscillator, coherent, and squeezed states

2017

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The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute potentially observable effects that GUP implies for the harmonic oscillator, coherent and squeezed states in Quantum Mechanics. In particular, we rigorously analyze the GUP-perturbed harmonic oscillator Hamiltonian, defining new operators that act as ladder operators on the perturbed states. We use these operators to define the new coherent and squeezed states. We comment on potential applications.

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Section: Applications and Outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Planck scale corrections to the harmonic oscillator, coherent, and squeezed states

2017

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“…One such route involves using the remarkable precision of quantum optical, optomechanical and matter-wave devices [3,4]. Pikovski et al propose an optomechanical scheme to test for quantum gravity effects [5,6]. Using the prediction that the canonical commutation relations suffer corrections due to quantum gravity, this scheme proposes to measure the canonical commutator of a massive object directly.…”

Section: Introductionmentioning

confidence: 99%

Quantum-optical tests of Planck-scale physics

Kumar

Plenio

2018

Phys. Rev. A

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Recently it was proposed to use cavity-optomechanical systems to test for quantum gravity corrections to quantum canonical commutation relations [Nat. Phys. 8, 393-397 (2012)]. Improving the achievable precision of such devices represents a major challenge that we address with our present work. More specifically, we develop sophisticated paths in phase-space of such optomechanical system to obtain significantly improved accuracy and precision under contributions from higher-order corrections to the optomechanical Hamiltonian. An accurate estimate of the required number of experimental runs is presented based on a rigorous error analysis that accounts for mean photon number uncertainty, which can arise from classical fluctuations or from quantum shot noise in measurement. Furthermore, we propose a method to increase precision by using squeezed states of light. Finally, we demonstrate the robustness of our scheme to experimental imperfection, thereby improving the prospects of carrying out tests of quantum gravity with near-future optomechanical technology.arXiv:1708.05659v2 [quant-ph]

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“…Here, Θ describes the additional phase on the light arising due to the presence of the noncommutative oscillator. The mean of the field operator using the standard quantum mechanics corresponding to a twodimensional mechanical oscillator can be computed as [41] a QM = αe −i(λ 2 1 +λ 2 2 )−Np(1−e −2i(λ 2 1 +λ 2 2 ) ) .…”

Section: Opto-mechanical Scheme For Noncommutative Systemsmentioning

confidence: 99%

“…Note that, in the limit λ 1 = λ, λ 2 = θ = Ω = 0, the opto-mechanical interaction operator (8) reduces to that of the ordinary quantum mechanics [41]. After completing N similar cycles inside the cavity, the total interaction operator for the optical pulse (8) turns out to be…”

Section: Opto-mechanical Scheme For Noncommutative Systemsmentioning

confidence: 99%

Probing noncommutative theories with quantum optical experiments

et al. 2017

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One of the major difficulties of modern science underlies at the unification of general relativity and quantum mechanics. Different approaches towards such theory have been proposed. Noncommutative theories serve as the root of almost all such approaches. However, the identification of the appropriate passage to quantum gravity is suffering from the inadequacy of experimental techniques. It is beyond our ability to test the effects of quantum gravity thorough the available scattering experiments, as it is unattainable to probe such high energy scale at which the effects of quantum gravity appear. Here we propose an elegant alternative scheme to test such theories by detecting the deformations emerging from the noncommutative structures. Our protocol relies on the novelty of an opto-mechanical experimental setup where the information of the noncommutative oscillator is exchanged via the interaction with an optical pulse inside an optical cavity. We also demonstrate that our proposal is within the reach of current technology and, thus, it could uncover a feasible route towards the realization of quantum gravitational phenomena thorough a simple table-top experiment.Comment: 7 pages, 3 figures, In press (Nuclear Physics B

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Amplified transduction of Planck-scale effects using quantum optics

Cited by 49 publications

References 45 publications

Planck scale corrections to the harmonic oscillator, coherent, and squeezed states

Planck scale corrections to the harmonic oscillator, coherent, and squeezed states

Quantum-optical tests of Planck-scale physics

Probing noncommutative theories with quantum optical experiments

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