Preparing Squeezed Spin States in a Spin–Mechanical Hybrid System with Silicon‐Vacancy Centers

Li, Bo; Li, Xiaoxiao; Li, Pengbo; Li, Tongcang

doi:10.1002/qute.202000034

Cited by 8 publications

(6 citation statements)

References 69 publications

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“…We consider an open system as N qubits with all-to-all interactions in a (mechanical) cavity (Figure 1). The all-to-all coupling can be mediated by a photon in an optical cavity [19] or a phonon in a mechanical oscillator [53,54,58]. The Hamiltonian is given by [19,20,53,54,59,60]…”

Section: Perfect Dtc In the Thermodynamic Limitmentioning

confidence: 99%

Stability of the Discrete Time-Crystalline Order in Spin-Optomechanical and Open Cavity QED Systems

Gao

2022

Photonics

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Discrete time crystals (DTC) have been demonstrated experimentally in several different quantum systems in the past few years. Spin couplings and cavity losses have been shown to play crucial roles for realizing DTC order in open many-body systems out of equilibrium. Recently, it has been proposed that eternal and transient DTC can be present with an open Floquet setup in the thermodynamic limit and in the deep quantum regime with few qubits, respectively. In this work, we consider the effects of spin damping and spin dephasing on the DTC order in spin-optomechanical and open cavity systems in which the spins can be all-to-all coupled. In the thermodynamic limit, it is shown that the existence of dephasing can destroy the coherence of the system and finally lead the system to its trivial steady state. Without dephasing, eternal DTC is displayed in the weak damping regime, which may be destroyed by increasing the all-to-all spin coupling or the spin damping. By contrast, the all-to-all coupling is constructive to the DTC in the moderate damping regime. We also focus on a model which can be experimentally realized by a suspended hexagonal boron nitride (hBN) membrane with a few spin color centers under microwave drive and Floquet magnetic field. Signatures of transient DTC behavior are demonstrated in both weak and moderate dissipation regimes without spin dephasing. Relevant experimental parameters are also discussed for realizing transient DTC order in such an hBN optomechanical system.

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Section: Perfect Dtc In the Thermodynamic Limitmentioning

confidence: 99%

Stability of the Discrete Time-Crystalline Order in Spin-Optomechanical and Open Cavity QED Systems

Gao

2022

Photonics

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“…[26] There are two orbital branches in the ground state of SiV center with frequency transition 𝜔 0 ≈ 2𝜋 × 46 GHz. Under a magnetic field, each branch splits into two Zeeman sublevels, [44,57,61] forming a four-level system denoted as |g⟩, |e⟩, |f ⟩, and |d⟩ in Figure 1b, where 𝜔 B is the Zeeman energy. Adopting periodic boundary conditions and quantizing the displacement field of lattice distortion, the Hamiltonian of phonon modes in the phononic waveguide can be written as [24,26,57] where â † n,k and ân,k , respectively, are the creation and annihilation operators of the phonons (along x axis) with frequency 𝜔 n,k .…”

Section: Modelmentioning

confidence: 99%

“…[24,26] Recently, several works based on SiV centers in diamond coupled with phononic waveguide are proposed to construct quantum networks, [57] study spatial range of spin-spin interactions, [58] and simulate topological phases. [59][60][61][62] Therefore, phonons in nanophononic structures present a promising candidate for constructing hybrid quantum solid-state systems and exploring interesting quantum acoustic phenomena. However, due to the charge neutral and spinless nature of phonons, strong phonon-phonon interactions at the few-phonon level are challenging.…”

Section: Introductionmentioning

confidence: 99%

Strong Two‐Phonon Correlations and Bound States in the Continuum in Phononic Waveguides with Embedded SiV Centers

et al. 2021

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Quantum phononic systems have attracted great attention in quantum science and technology. However, it is quite difficult to realize strong phonon-phonon interactions at the few phonon level in phononic systems, since direct interactions between phonons are generally very weak. Here, the phonon transport properties and the phonon-phonon interactions in a 1D phononic waveguide with embedded silicon-vacancy (SiV) centers are studied. The authors show that, mediated by the SiV centers, strong phonon-phonon interactions can be realized due to coherent interferences of the emitting phonon waves with the incident waves. In particular, the embedded color centers can induce an effective attractive or repulsive interaction in space for phonons, corresponding to phonon bunching or antibunching. Besides, it is found that a single SiV center can capture two resonant phonons simultaneously, forming a phononic bound state in the continuum. Comparing with photon-photon interactions in photonic systems, the phonon-phonon interactions are stronger for relatively slower phonon velocity and the strongly correlated phonon properties are promising for constructing various all-phonon quantum devices in quantum information processing.

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“…Single-crystal diamond, with desirable optical and mechanical properties, is a natural carrier of color centers. Spin-mechanical hybrid quantum systems based on color centers in diamond have been used to produce spin-squeezed states [66][67][68][69]. Although mechanical resonators can achieve high quality factors [70][71][72] with the great progress of nanofabrication techniques, the produced quantum state is still inevitably spoiled by dissipation and decoherence.…”

Section: Introductionmentioning

confidence: 99%

Dissipation-assisted preparation of steady spin-squeezed states of SiV centers

et al. 2021

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We propose an efficient scheme for generating spin-squeezed states at steady state in a spinmechanical hybrid system, where an ensemble of SiV centers are coupled to a strongly damped nanomechanical resonator. We show that, there exists a collective steady state in the system, which is exactly formed by the collective spin states plus the zero excitation state of the mechanical mode. The generation of the steady spin-squeezed state is based on a dissipative quantum dynamical process in which the mechanical dissipation plays a positive role but without destroying the target state. We demonstrate that the spin-squeezed steady state can be deterministically prepared via dissipative means, with the optimal spin squeezing up to 4/N in the ideal case, where N is the number of spins. This work provides a promising platform for quantum information processing and quantum metrology.

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Preparing Squeezed Spin States in a Spin–Mechanical Hybrid System with Silicon‐Vacancy Centers

Cited by 8 publications

References 69 publications

Stability of the Discrete Time-Crystalline Order in Spin-Optomechanical and Open Cavity QED Systems

Stability of the Discrete Time-Crystalline Order in Spin-Optomechanical and Open Cavity QED Systems

Strong Two‐Phonon Correlations and Bound States in the Continuum in Phononic Waveguides with Embedded SiV Centers

Dissipation-assisted preparation of steady spin-squeezed states of SiV centers

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