Dissipative preparation of steady Greenberger-Horne-Zeilinger states for Rydberg atoms with quantum Zeno dynamics

Abstract

Inspired by a recent work [Reiter, Reeb, and Sørensen, Phys. Rev. Lett. {\bf117}, 040501 (2016)], we present a simplified proposal for dissipatively preparing a Greenberger-Horne-Zeilinger (GHZ) state of three Rydberg atoms in a cavity. The $Z$ pumping is implemented under the action of the spontaneous emission of $\Lambda$-type atoms and the quantum Zeno dynamics induced by strong continuous coupling. In the meantime, a dissipative Rydberg pumping breaks up the stability of the state $|{\mathrm{GHZ}}_{+}⟩$ in the process of $Z$ pumping, making $|{\mathrm{GHZ}}_{-}⟩$ be the unique steady state of system. Compared with the former scheme, the number of driving fields acting on atoms is greatly reduced and only a single-mode cavity is required. The numerical simulation of the full master equation reveals that a high fidelity $\sim 98\%$ can be obtained with the currently achievable parameters in the Rydberg-atom-cavity system.

accepted by PRA

References in corpus (13)

• Cavity QED with a Bose-Einstein condensate
• Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
• Dissipative preparation of entanglement in optical cavities
• Quantum Zeno dynamics: mathematical and physical aspects
• Electromagnetically induced transparency with single atoms in a cavity
• Storage and control of optical photons using Rydberg polaritons
• Quantum gates and multi-particle entanglement by Rydberg excitation blockade and adiabatic passage
• Deterministic entanglement of two neutral atoms via Rydberg blockade
• Mott insulator states of ultracold atoms in optical resonators
• Cavity-based single atom preparation and high-fidelity hyperfine state readout
• Optical pumping into many-body entanglement
• Superradiant Solid in Cavity QED Coupled to a Lattice of Rydberg Gas
• Detection-Enhanced Steady State Entanglement with Ions

Cited by in corpus (4)

• Engineering steady entanglement for trapped ions at finite temperature by dissipation
• Heralded entangling quantum gate via cavity-assisted photon scattering
• Cooling neutral atoms into maximal entanglement in the Rydberg blockade regime
• Dissipative engineering a tripartite Greenberger-Horne-Zeilinger state for neutral atoms