Superradiance-induced multistability in one-dimensional driven Rydberg lattice gases

He, Yunhui; Bai, Zhengyang; Jiao, Yuechun; Zhao, Jianming; Li, Weibin

Abstract

We study steady-state phases of a one-dimensional array of Rydberg atoms coupled by a microwave (MW) field where the higher-energy Rydberg state decays to the lower-energy one via single-body and collective (superradiant) decay. Using mean-field approaches, we examine the interplay among the MW coupling, intrastate van der Waals (vdW) interaction, and single-body and collective dissipation between Rydberg states. A linear stability analysis reveals that a series of phases, including uniform, antiferromagnetic, oscillatory, and bistable and multistable phases can be obtained. Without the vdW interaction, only uniform phases are found. In the presence of the vdW interaction, multistable solutions are enhanced when increasing the strength of the superradiant decay rate. Our numerical simulations show that the bistable and multistable phases are stabilized by superradiance in a long chain. The critical point between the uniform and multistable phases and its scaling with the atom number is obtained. Through numerically solving the master equation of a finite chain, we show that the mean-field multistable phase could be characterized by expectation values of Rydberg populations and two-body correlations between Rydberg atoms in different sites.

Citation

He, Y., Bai, Z., Jiao, Y., Zhao, J., & Li, W. (2022). Superradiance-induced multistability in one-dimensional driven Rydberg lattice gases. Physical Review A, 106(6), Article 063319. https://doi.org/10.1103/PhysRevA.106.063319

• Journal Article Type: Article
• Acceptance Date: Dec 3, 2022
• Online Publication Date: Dec 27, 2022
• Publication Date: Dec 27, 2022
• Deposit Date: Dec 30, 2022
• Publicly Available Date: Jan 6, 2023
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society (APS)
• Peer Reviewed: Peer Reviewed
• Volume: 106
• Issue: 6
• Article Number: 063319
• DOI: https://doi.org/10.1103/PhysRevA.106.063319
• Public URL: https://nottingham-repository.worktribe.com/output/15436724
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.063319