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Chinese Physics B

Generation of macroscopic entanglement in ensemble systems based on silicon vacancy centers

Jian-Zhuang Wu, Ying 滢 Xi 奚, Boya Li, Lian-E Lu, Yonghong Ma

Published Jul 2, 2024• 1 citation
Publisher

Abstract

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.

DOI
10.1088/1674-1056/ad5d93

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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.
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 a scheme to entangle Silicon-Vacancy (SiV) centers embedded in a diamond acoustic waveguide. These SiV centers interact with acoustic modes of the waveguide via strain-induced coupling. Through Morris-Shore transformation, the Hilbert space of this hybrid quantum system can be factorized into a closed subspace in which we can deterministically realize the symmetrical Dicke states between distant SiV centers with high fidelity. In addition, the generation of entangled Dicke states can be controlled by manipulating the strength and frequency of the driving field applied on SiV centers. This protocol provides a promising way to prepare multipartite entanglement in spin-phonon hybrid systems and could have broad applications for future quantum technologies.
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.
As a key component of quantum networks, the quantum router distributes quantum information among different quantum nodes. The silicon-vacancy (SiV) center in diamond offers a promising platform for quantum technology due to its strong strain-induced coupling with phonons. However, the development of a practical quantum router faces the challenges of achieving long-range entanglement and suppressing decoherence. Here, we propose a non-Markovian quantum router based on a diamond waveguide embedded with an array of SiV centers as the quantum nodes. Unlike conventional channel-switching methods, our design enables parallel quantum-state transfer from a single input node to multiple target nodes, analogous to a classical WiFi router. We demonstrate that persistent entanglement and suppressed decoherence of the SiV centers over long distances are achievable when bound states are present in the energy spectrum of the total system formed by the SiV centers and the phonon waveguide. Our scheme enriches the implementation of quantum routing and prompts the development of solid-state quantum networks.
Exploration of macroscopic quantum entanglement is of great interest in both fundamental science and practical application. We investigate a hybrid quantum system that consists of two nitrogen-vacancy centers ensembles (NVE) coupled to a superconducting coplanar waveguide resonator (CPWR). The collective magnetic coupling between the NVE and the CPWR is employed to generate macroscopic entanglement between the NVEs, where the CPWR acts as the quantum bus. We find that, this NVE-CPWR hybrid system behaves as a system of three coupled harmonic oscillators, and the excitation prepared initially in the CPWR can be distributed into these two NVEs. In the nondissipative case, the entanglement of NVEs oscillates periodically and the maximal entanglement always keeps unity if the CPWR is initially prepared in the odd coherent state. Considering the dissipative effect from the CPWR and NVEs, the amount of entanglement between these two NVEs strongly depends on the initial state of the CPWR, and the maximal entanglement can be tuned by adjusting the initial states of the total system. The experimental feasibility and challenge with currently available technology are discussed.
Multiparticle entanglement is of great significance for quantum metrology and quantum information processing. We present here an efficient scheme for generating stable multiparticle entanglement in a solid-state setup, where an array of silicon-vacancy centers are embedded in a quasi-one-dimensional acoustic diamond waveguide. In this scheme, the continuum of phonon modes induces a controllable dissipative coupling among the SiV centers. We show that, by an appropriate choice of the distance between the SiV centers, the dipole-dipole interactions can be switched off due to destructive interference, thus realizing a Dicke superradiance model. This gives rise to an entangled steady state of SiV centers with high fidelities. The protocol provides a feasible setup for the generation of multiparticle entanglement in a solid-state system.