Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Latmiral, Ludovico; Armata, Federico; Genoni, Marco G.; Pikovski, Igor; Kim, M. S.

doi:10.1103/physreva.93.052306

Cited by 27 publications

(23 citation statements)

References 52 publications

(87 reference statements)

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“…For systems operating in the nonlinear regime, the quantum Fisher information (QFI) for measurements of constant gravitational acceleration has already been computed [25,26], and optimal estimation schemes for the nonlinear coupling itself have been considered [27]. In general, the estimation of anharmonicities present in the system is a topic of great interest [28,29] as well as the enhancement of parameter estimation granted by Kerr nonlinearities [30,31]. Additional efforts have focused on parametric driving of the cavity frequency, which manifests itself as a single-mode mechanical squeezing term in the Hamiltonian [32].…”

Section: Introductionmentioning

confidence: 99%

Optimal estimation with quantum optomechanical systems in the nonlinear regime

et al. 2020

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We study the fundamental bounds on precision measurements of parameters contained in a timedependent nonlinear optomechanical Hamiltonian, which includes the nonlinear light-matter coupling, a mechanical displacement term, and a single-mode mechanical squeezing term. By using a recently developed method to solve the dynamics of this system, we derive a general expression for the quantum Fisher information and demonstrate its applicability through three concrete examples: estimation of the strength of a nonlinear light-matter coupling, the strength of a time-modulated mechanical displacement, and a single-mode mechanical squeezing parameter, all of which are modulated at resonance. Our results can be used to compute the sensitivity of a nonlinear optomechanical system to a number of external and internal effects, such as forces acting on the system or modulations of the light-matter coupling.arXiv:1910.04485v1 [quant-ph]

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Section: Introductionmentioning

confidence: 99%

Optimal estimation with quantum optomechanical systems in the nonlinear regime

et al. 2020

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“…This enhancement can be achieved, for example, by using a large-amplitude, strongly detuned mechanical parametric drive [45], or by modulating the spring constant [46]. Similar work has shown that the inclusion of a mechanical quartic anharmonic term can be nearly optimally detected with homodyne and heterodyne detection schemes, which are standard measurements implemented in the laboratory [47].…”

Section: Introductionmentioning

confidence: 99%

Enhanced continuous generation of non-Gaussianity through optomechanical modulation

et al. 2019

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We study the non-Gaussian character of quantum optomechanical systems evolving under the fully nonlinear optomechanical Hamiltonian. By using a measure of non-Gaussianity based on the relative entropy of an initially Gaussian state, we quantify the amount of non-Gaussianity induced by both a constant and time-dependent cubic light-matter coupling and study its general and asymptotic behaviour. We find analytical approximate expressions for the measure of non-Gaussianity and show that initial thermal phonon occupation of the mechanical element does not significantly impact the non-Gaussianity. More importantly, we also show that it is possible to continuously increase the amount of non-Gassuianity of the state by driving the light-matter coupling at the frequency of mechanical resonance, suggesting a viable mechanism for increasing the non-Gaussianity of optomechanical systems even in the presence of noise. Figure 1. An optomechanical system consisting of a moving end mirror. The operators â and â † denote the creation and annihilation operators for the light field, and b and b † denote the motional degree of freedom of the mirror. Other examples of optomechanical systems include levitated nanobeads and cold-atom ensembles. 7 We should note here that, since uncertainties in quantum Gaussian systems are fundamentally bounded by the Heisenberg uncertainty relation, which in principle does not hold for classical systems, Gaussian operations are in fact sufficient to run some protocols requiring genuine quantum features, such as continuous variable quantum key distribution.

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“…In the context of optomechanical self-oscillations, a theoretical proposal has been made [35] to achieve the steady-state sub-Poissonian phonon statistics in an optomechanical cavity, by using the intrinsic anharmonicity of the mechanical oscillator. Furthermore, it has been recently proposed a protocol to estimate the anharmonicity of a quantum mechanical oscillator in an optomechanical cavity [36] in order to explore its contribution to the dynamics and its impact on the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Atomic quadrature squeezing and quantum state transfer in a hybrid atom–optomechanical cavity with two Duffing mechanical oscillators

Momeni

Naderi

2019

J. Opt. Soc. Am. B

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In this paper, we investigate theoretically the quantum state transfer in a laser driven hybrid optomechanical cavity with two Duffing-like anharmonic movable end mirrors containing an ensemble of identical two-level trapped atoms. The quantum state transfer from the Bogoliubov modes of the two anharmonic oscillators to the atomic mode results in the atomic quadrature squeezing beyond the standard quantum limit of 3 dB which can be controlled by both the optomechanical and atom-field coupling strengths. Interestingly, the generated atomic squeezing can be made robust against the noise sources by means of the Duffing anharmonicity. Moreover, the results reveal that the presence of the Duffing anharmonicity provides the possibility of transferring strongly squeezed states between the two mechanical oscillators in a short operating time and with a high fidelity.

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Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Cited by 27 publications

References 52 publications

Optimal estimation with quantum optomechanical systems in the nonlinear regime

Optimal estimation with quantum optomechanical systems in the nonlinear regime

Enhanced continuous generation of non-Gaussianity through optomechanical modulation

Atomic quadrature squeezing and quantum state transfer in a hybrid atom–optomechanical cavity with two Duffing mechanical oscillators

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