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arXiv:1910.05507 · Advanced Quantum Technologies

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

Bo Li, Xiaoxiao Li, Pengbo Li, Tongcang Li

Published Apr 27, 2020• 12 citations
arXivHTMLPDF

Abstract

Abstract An experimentally feasible scheme for preparing the squeezed spin states in a novel spin–mechanical hybrid system is studied. The setup under consideration is realized by a single‐crystal diamond waveguide with negatively charged silicon‐vacancy (SiV) centers embedded. After studying the strain couplings between the SiV spins and the propagating phonon modes, analyses show that long‐range spin–spin interactions can be achieved under large detuning condition. Modeled as an effective one‐axis twisting Hamiltonian, these nonlinear spin–spin couplings can steer the system to the squeezed spin states in the practical situations. This proposal may have interesting applications in high‐precision metrology and quantum information processing.

DOI
10.1002/qute.202000034

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Abstract An experimentally feasible scheme for preparing the squeezed spin states in a novel spin–mechanical hybrid system is studied. The setup under consideration is realized by a single‐crystal diamond waveguide with negatively charged silicon‐vacancy (SiV) centers embedded. After studying the strain couplings between the SiV spins and the propagating phonon modes, analyses show that long‐range spin–spin interactions can be achieved under large detuning condition. Modeled as an effective one‐axis twisting Hamiltonian, these nonlinear spin–spin couplings can steer the system to the squeezed spin states in the practical situations. This proposal may have interesting applications in high‐precision metrology and quantum information processing.
In this paper, we investigate the spin squeezing in a hybrid quantum system consisting of a Silicon-Vacancy (SiV) center ensemble coupled to a diamond acoustic waveguide via the strain interaction. Two sets of non-overlapping driving fields, each contains two time-dependent microwave fields, are applied to this hybrid system. By modulating these fields, the one-axis twist (OAT) interaction and two-axis two-spin (TATS) interaction can be independently realized. In the latter case the squeezing parameter scales to spin number as ξ R 2 ∼1.61 N −0.64 with the consideration of dissipation, which is very close to the Heisenberg limit. Furthermore, this hybrid system allows for the study of spin squeezing generated by the simultaneous presence of OAT and TATS interactions, which reveals sensitivity to the parity of the number of spins N tot , whether it is even or odd. Our scheme enriches the approach for generating Heisenberg-limited spin squeezing in spin-phonon hybrid systems and offers the possibility for future applications in quantum information processing.
We propose an approach to produce spin squeezed states of a large number of nitrogen-vacancy centers in diamond nanostructures coupled to an optical cavity. Unlike the previous squeezing method proposed by Bennett et al. [Phys. Rev. Lett. 110, 156402 (2013)], which is limited by phonon number fluctuations due to the existence of phonon-spin entanglement, our proposal can completely erase the entanglement between spins and hybrid phonon-photon mode mediating the effective spin-spin interaction, and thus achieves unitary one-axis-twisting interactions between nitrogen-vacancy centres, yielding a squeezing scaling J−2/3J^{-2/3}J−2/3, where J is the total angular momentum. We found that, under certain conditions, our method has the potential to enhance the spin-spin nonlinear interactions. We also proposed a scheme utilizing repeatedly applying the one-axis-twisting evolution to two orthogonal spin directions, which enables the transformation of the one-axis-twisting interactions into two-axis-twisting type, and therefore leads to the spin squeezing with Heisenberg-limited scaling J−1J^{-1}J−1. Taking into account the noise effects of spin dephasing and relaxtion, we found that the proposed approaches are robust against imperfections.
Spin squeezing, a compelling manifestation of multiparticle entanglement, is considered one of the most promising quantum resources. Non-Markovian characteristics play a crucial role in many critical physical processes involving strong system-environment interactions. We investigate the generation of spin squeezing in a hybrid quantum system composed of silicon-vacancy color centers (SiV) and diamond acoustic waveguides in a finite-temperature non-Markovian environment. The results indicate that memory parameters, damping rates, environmental temperature, and the total spin number play critical roles in the generation of spin squeezing. By appropriately tuning these parameters, the spin-squeezing effect of the quantum system can be significantly enhanced. This study provides theoretical foundations and optimization strategies for the application of quantum systems in complex environments, such as quantum information processing and quantum precision measurement.
We propose a scheme to implement Heisenberg-limited spin squeezing in a hybrid cavity optomechanical-spin system. In our system, NNN two-level systems are coupled via Tavis-Cummings interactions to a mechanical resonator (MR) in a standard optomechanical setup. Within the dispersive coupling regime, adiabatic elimination of the optical mode induces a squeezing effect on the MR, which, in the squeezed representation, effectively transforms the collective spin operators into a Bogoliubov form. Under large detuning conditions, the phonon mode mediates interactions among the Bogoliubov collective spins, thereby enabling a two-axis twisting squeezing protocol through appropriate parameter tuning. Both theoretical analysis and numerical simulations show that in the presence of dephasing and phonon dissipation, the maximum squeezing degree asymptotically converges to a constant as NNN increases, which implies the metrological precision asymptotically approaches the standard quantum limit without parameter optimization. Nevertheless, in parameter optimization we extract a scaling relation of the optimal squeezing which surpasses existing schemes in the literature. Moreover, the optimization also leads to a considerable reduction of the preparation time for the optimal squeezing. Our work may provide insights into dissipation effects in spin squeezing and offer a potential route for high-precision quantum metrology in many-body systems.
Spin squeezing is a fascinating manifestation of many-particle entanglement and one of the most promising quantum resources. In this paper, we propose a novel realization of a solid-state quantum spin squeezing by applying SiV centers embedded in a diamond waveguide with the help of a microwave field. The phenomena about the generation of spin squeezing are analyzed numerically in Markovian environments. Our analysis shows that spin squeezing can be generated with the microwave field’s help under some realistic conditions, despite the presence of dephasing and mechanical damping. This solid-state spin squeezing based on SiV centers in diamonds might be applied to magnetometers, interferometry, and other precise measurements.
Abstract Entanglement in macroscopic systems, as a fundamental quantum resource, has been utilized to propel the advancement of quantum technology and probe the boundary between the quantum and classical realms. This study focuses on a unique hybrid quantum system comprising of an ensemble of silicon vacancy (SiV) centers coupled to phononic waveguides in diamond via strain interactions. By employing two sets of time-dependent, non-overlapping driving fields, we investigate the generation process and dynamic properties of macroscopic quantum entanglement, providing fresh insights into the behavior of such hybrid quantum systems. Furthermore, it paves the way for new possibilities in utilizing quantum entanglement as an information carrier in quantum information processing and quantum communication.