Stationary three-dimensional entanglement via dissipative Rydberg pumping

Abstract

We extend the recent result of bipartite Bell singlet [Carr and Saffman, Phys. Rev. Lett. {\bf111}, (2013)] to a stationary three-dimensional entanglement between two-individual neutral Rydberg atoms. This proposal makes full use of the coherent dynamics provided by Rydberg mediated interaction and the dissipative factor originating from the spontaneous emission of Rydberg state. The numerical simulation of the master equation reveals that both the target state negativity $\mathcal{N}({\hat{\rho }}_{\infty })$ and fidelity $\mathcal{F}({\hat{\rho }}_{\infty })$ can exceed 99.90%. Furthermore, a steady three-atom singlet state $|S_3⟩$ is also achievable based on the same mechanism.

7 pages, 4 figures

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• Unitary and non-unitary quantum cellular automata with Rydberg arrays
• Simplified scheme for entanglement preparation with Rydberg pumping via dissipation
• Preparation of three-dimensional entanglement for distant atoms in coupled cavities via atomic spontaneous emission and cavity decay
• Adiabatic passage for three-dimensional entanglement generation through quantum Zeno dynamics
• Dissipative stabilization of quantum-feedback-based multipartite entanglement with Rydberg atoms
• High-fidelity interconversion between Greenberger-Horne-Zeilinger and $W$ states through Floquet-Lindblad engineering in Rydberg atom arrays
• Periodically-driven facilitated high-efficiency dissipative entanglement with Rydberg atoms
• Dissipative preparation of tripartite singlet state in coupled arrays of cavities via quantum feedback control
• Selective Rydberg pumping via strong dipole blockade
• Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
• Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage
• Resonant-interaction-induced Rydberg antiblockade
• Dissipative stabilization of high-dimensional GHZ states for neutral atoms
• Preparation of entanglement between atoms in spatially separated cavities via fiber loss
• Entangled state fusion with Rydberg atoms
• Fast generation of three-dimensional entanglement between two spatially separated atoms via invariant-based shortcut
• Dissipative entanglement preparation via Rydberg antiblockade and Lyapunov control
• Cooling neutral atoms into maximal entanglement in the Rydberg blockade regime
• Exponentially faster preparation of quantum dimers via driven-dissipative stabilization
• Adiabatic Generation of N-quNit Singlet States with Cavity QED
• Characterizing Real-space Topology in Rice-Mele Model by Thermodynamics
• One-step preparation of 3D Bell and 3D GHZ states with Rydberg atoms