Signatures of Quantum Chaos of Rydberg-Dressed Bosons in a Triple-Well Potential

Yan, Tianyi; Collins, Matthew; Nath, Rejish; Li, Weibin

Abstract

We studied signatures of quantum chaos in dynamics of Rydberg-dressed bosonic atoms held in a one-dimensional triple-well potential. Long-range nearest-neighbor and next-nearest-neighbor interactions, induced by laser dressing atoms to strongly interacting Rydberg states, drastically affect mean-field and quantum many-body dynamics. By analyzing the mean-field dynamics, classical chaos regions with positive and large Lyapunov exponents were identified as a function of the potential well tilting and dressed interactions. In the quantum regime, it was found that level statistics of the eigen-energies gain a Wigner-Dyson distribution when the Lyapunov exponents are large, giving rise to signatures of strong quantum chaos. We found that both the time-averaged entanglement entropy and survival probability of the initial state have distinctively large values in the quantum chaos regime. We further showed that population variances could be used as an indicator of the emergence of quantum chaos. This might provide a way to directly probe quantum chaotic dynamics through analyzing population dynamics in individual potential wells.

Citation

Yan, T., Collins, M., Nath, R., & Li, W. (2023). Signatures of Quantum Chaos of Rydberg-Dressed Bosons in a Triple-Well Potential. Atoms, 11(6), Article 89. https://doi.org/10.3390/atoms11060089

• Journal Article Type: Article
• Acceptance Date: May 26, 2023
• Online Publication Date: May 31, 2023
• Publication Date: 2023-06
• Deposit Date: Jun 1, 2023
• Publicly Available Date: Jun 1, 2023
• Journal: Atoms
• Electronic ISSN: 2218-2004
• Publisher: MDPI AG
• Peer Reviewed: Peer Reviewed
• Volume: 11
• Issue: 6
• Article Number: 89
• DOI: https://doi.org/10.3390/atoms11060089
• Keywords: Rydberg dressing; Bose–Hubbard model; quantum chaos; level statistics; entanglement entropy
• Public URL: https://nottingham-repository.worktribe.com/output/21372229
• Publisher URL: https://www.mdpi.com/2218-2004/11/6/89
• Additional Information: Received: 19 April 2023 Revised: 24 May 2023 Accepted: 26 May 2023; Citation: Yan, T.; Collins, M.; Nath, R.; Li, W. Signatures of Quantum Chaos of Rydberg-Dressed Bosons in a Triple-Well Potential. Atoms 2023, 11, 89. https://doi.org/ 10.3390/atoms11060089 Academic Editors: J. Tito Mendonca and Hugo Terças Copyright: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).