Generating quantum entanglement between macroscopic objects with continuous measurement and feedback control

Miki, Daisuke; Matsumoto, Nobuyuki; Matsumura, Akira; Tomoya, Shichijo,; Yuuki, Sugiyama,; Yamamoto, Keiji; Yamamoto, Naoki

doi:10.48550/arxiv.2210.13169

Cited by 2 publications

(6 citation statements)

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“…Finally, we consider the implication of the above results for generating of the quantum entanglement through an half mirror between the two mg scale mirrors that make up an interferometer, demonstrated in Ref. [29]. The authors of Ref.…”

Section: Resultsmentioning

confidence: 88%

“…The difference between the one-mode and two-mode filters can be essential to generate the entanglement between two mirrors that make up an intereferometer through an half mirror Ref. [29]. We showed that the two-mode filter achieves the purity required for entanglement generation, but the one-mode filter cannot.…”

Section: Discussionmentioning

confidence: 92%

“…The authors of Ref. [29] showed that both the purity and squeezing of the mechanical common and differential modes are required for the entanglement generation, which is optimized at the detuning of the differential mode δ − = −∆/2κ − ∼ 0.2. Then, the purity of the differential mode P − > ∼ 0.5 roughly needs to generate the entanglement for the parameters in Table I.…”

Section: Resultsmentioning

confidence: 99%

“…Figure 13 plots the negativity between the two mirrors as a function of the normalized detuning, where we assumed the parameter of the ratio of the dissipation of the differential mode to the common mode κ − /κ + = 3 with κ − (= κ) and δ − = −∆/2κ − (= δ) (see Ref. [29] for details). Figure 13 demonstrates that the negativity is positive for 0.03 < δ < 0.33, indicating the entanglement generation between the two mirrors.…”

Section: Resultsmentioning

confidence: 99%

“…[13,26] and is expected from state-of-the-art techniques (see Refs. [27,29]). Figure 2 shows the number of photons as a function of δ.…”

Section: B Steady-state Solutionmentioning

confidence: 99%

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Quantum state of a suspended mirror coupled to cavity light -- Wiener filter analysis of the pendulum and rotational modes

Tomoya¹,

Matsumoto²,

Matsumura³

et al. 2023

Preprint

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We investigated the quantum state of an optomechanical suspended mirror under continuous measurement and feedback control using Wiener filtering. We focus on the impact of the two-mode theory of suspended mirror on the quantum state, which is described by the pendulum and rotational modes. It is derived from the beam model coupled to the cavity light in the low-frequency regime, including the internal friction of the beam and the finite size effect of the mirror. We constructed a Wiener filter for the two-mode theory and predicted the quantum state by evaluating the conditional covariance matrix using Wiener filter analysis. The results demonstrate that multimode analysis may play an important role in generating the quantum squeezed state. We also point out the possibility that one-mode analysis can be a good approximation by choosing the range of the Fourier space in the Wiener filter analysis.

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Section: Resultsmentioning

confidence: 88%

Section: Discussionmentioning

confidence: 92%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…[13,26] and is expected from state-of-the-art techniques (see Refs. [27,29]). Figure 2 shows the number of photons as a function of δ.…”

Section: B Steady-state Solutionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum state of a suspended mirror coupled to cavity light -- Wiener filter analysis of the pendulum and rotational modes

Tomoya¹,

Matsumoto²,

Matsumura³

et al. 2023

Preprint

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Effective description of a suspended mirror coupled to cavity light: Limitations of Q enhancement due to normal-mode splitting by an optical spring

et al. 2023

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Pendulums have long been used as force sensors due to their ultimately low dissipation (highquality factor) characteristic. They are widely used in the measurement of the gravitational constant, detection of gravitational waves, and determination of the ultralight dark matter. Furthermore, it is expected to demonstrate the quantum nature of gravity by performing quantum control for macroscopic pendulums. Recently, we have demonstrated that quantum entanglement between two pendulums can be generated using an optical spring [arXiv:2210.13169]; however, we have ignored that an optical spring can reduce the quality factor (Q-factor) by applying normal mode splitting between the pendulum and rotational modes possessing relatively high dissipation. Herein, we analyze a system comprising a cylinder suspended using a beam (a suspended mirror, i.e., a pendulum) and an optical spring to consider normal mode splitting. The reduction in Q-factor is determined only by the beam parameters: the ratio of the radius of the mirror to the length of the beam, and the ratio of the frequency of the rotational mode to the pendulum mode in the absence of cavity photon. In our analysis, we find that the reduction factor 4.38 is reproduced, which is consistent with the experimental result in [Phys. Rev. Lett. 122, 071101 (2019)]. Our analysis shows that low dissipation (high quality) can be reached using an optical spring for the realistic pendulum system considering the rotational degree of freedom.

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Generating quantum entanglement between macroscopic objects with continuous measurement and feedback control

Cited by 2 publications

References 0 publications

Quantum state of a suspended mirror coupled to cavity light -- Wiener filter analysis of the pendulum and rotational modes

Quantum state of a suspended mirror coupled to cavity light -- Wiener filter analysis of the pendulum and rotational modes

Effective description of a suspended mirror coupled to cavity light: Limitations of Q enhancement due to normal-mode splitting by an optical spring

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