Quantum signatures in quadratic optomechanics

Machado, J. D. P.; Slooter, R. J.; Blanter, Ya. M.

doi:10.1103/physreva.99.053801

Cited by 8 publications

(8 citation statements)

References 47 publications

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“…When masks with (N, M) angular slits for (s, i) photons are placed in each spatial mode (seen Figure 1), the biphoton state immediately after the apertures can be expressed as [36]:…”

Section: B High-dimensional Path-entanglement On Angular Aperturesmentioning

confidence: 99%

“…The results reported here extend the notion of angular qudits to an arbitrary number of angular slits N × M, which not only demonstrates two-photon coherence effects in the angular domain but also provide additional means for preparation and characterization of entangled quantum states in a high-dimensional Hilbert space. This is a fundamental resource for quantum communication [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and quantum information protocols [12,16,19,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

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High-Dimensional Entanglement of Photonic Angular Qudits

Puentes

Sorelli²

2022

Front. Phys.

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We propose a method for generation of entangled photonic states in high dimensions, the so-called qudits, by exploiting quantum correlations of Orbital Angular Momentum (OAM) entangled photons, produced via Spontaneous Parametric Down Conversion. Diffraction masks containing N angular slits placed in the path of twin photons define a qudit space of dimension N2, spanned by the alternative pathways of OAM-entangled photons. We quantify the high-dimensional entanglement of path-entangled photons by the Concurrence, using an analytic expression valid for pure states. We report numerical results for the Concurrence as a function of the angular aperture size for the case of high-dimensional OAM entanglement and for the case of high-dimensional path entanglement, produced by N × M angular slits. Our results provide additional means for preparation and characterization of entangled quantum states in high-dimensions, a fundamental resource for quantum simulation and quantum information protocols.

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“…When masks with (N, M) angular slits for (s, i) photons are placed in each spatial mode (seen Figure 1), the biphoton state immediately after the apertures can be expressed as [36]:…”

Section: B High-dimensional Path-entanglement On Angular Aperturesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

High-Dimensional Entanglement of Photonic Angular Qudits

Puentes

Sorelli²

2022

Front. Phys.

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“…We further consider a conventional linear regime, where the mechanical oscillation x is much smaller than the optical wavelength λ, allowing the Hamiltonian to remain only linear x terms for a good approximation. While this approximation is not necessarily applicable to all optomechanical systems [55][56][57][58], it covers most of the popular ones.…”

Section: Classification Of Optomechanical Couplingsmentioning

confidence: 99%

Coherent coupling completing an unambiguous optomechanical classification framework

Korobko

et al. 2019

Phys. Rev. A

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In most optomechanical systems, a movable mirror is a part of an optical cavity, and its oscillation modulates either the resonance frequency of the cavity or its coupling to the environment. There exists the third optionwhich we call a "coherent coupling"-when the mechanical oscillation couples several nondegenerate optical modes supported by the cavity. Identifying the nature of the coupling can be an important step in designing the setup for a specific application. In order to unambiguously distinguish between different optomechanical couplings, we develop a general framework based on the Hamiltonian of the system. Using this framework, we give examples of different couplings and discuss in details one particular case of a purely coherent coupling in a ring cavity with a movable mirror inside. We demonstrate that in certain cases coherent coupling can be beneficial for cooling the motion of the mechanical oscillator. Our general framework allows us to approach the design of optomechanical experiments in a methodological way, for precise exploitation of the strengths of particular optomechanical couplings.

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“…Those large Q factors provide in theory long lifetimes for studying nonclassical states of motion. Of particular interest are nonlinearities in the optomechanical interaction [10][11][12][13][14]. For example, the control over the position of ions or levitated nanoparticles within an optical cavity enables tuning between linear and quadratic optomechanical coupling [15][16][17][18].…”

mentioning

confidence: 99%

Quadratic optomechanical cooling of a cavity-levitated nanosphere

Bullier,

Pontin,

Barker

2020

Preprint

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We report on cooling the center-of-mass motion of a nanoparticle due to a purely quadratic coupling between its motion and the optical field of a high finesse cavity. The resulting interaction gives rise to a Van der Pol nonlinear damping, which is analogous to conventional parametric feedback where the cavity provides passive feedback without measurement. We show experimentally that like feedback cooling the resulting energy distribution is strongly nonthermal and can be controlled by the nonlinear damping of the cavity. As quadratic coupling has a prominent role in proposed protocols to generate deeply nonclassical states, our work represents a first step for producing such states in a levitated system.

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Quantum signatures in quadratic optomechanics

Cited by 8 publications

References 47 publications

High-Dimensional Entanglement of Photonic Angular Qudits

High-Dimensional Entanglement of Photonic Angular Qudits

Coherent coupling completing an unambiguous optomechanical classification framework

Quadratic optomechanical cooling of a cavity-levitated nanosphere

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