Exactness of Mean-Field Equations for Open Dicke Models with an Application to Pattern Retrieval Dynamics

Carollo, Federico; Lesanovsky, Igor

Abstract

Open quantum Dicke models are paradigmatic systems for the investigation of light-matter interaction in out-of-equilibrium quantum settings. Albeit being structurally simple, these models can show intriguing physics. However, obtaining exact results on their dynamical behavior is challenging , since it requires the solution of a many-body quantum system, with several interacting continuous and discrete degrees of freedom. Here, we make a step forward in this direction by proving the validity of the mean-field semi-classical equations for open multimode Dicke models, which, to the best of our knowledge, so far has not been rigorously established. We exploit this result to show that open quantum multimode Dicke models can behave as associative memories, displaying a nonequilibrium phase transition towards a pattern-recognition phase. Since its inception [1], the Dicke model has become a paradigm for the study of light-matter interaction and its equilibrium as well as isolated-system dynamical properties have been widely investigated both theoretically and experimentally [2-14]. Nowadays, the interest is in understanding how the presence of an environment, leading to dissipative effects, impacts on the behavior of Dicke models. In this out-of-equilibrium setting, much less is known. Several arguments indicate the persistence of the Dicke superradiant phase transition [15-18], and this hypothesis is further supported by numerical [19] and experimental [20] evidence. Particularly intriguing is the possibility that these nonequilibrium spin-boson systems can feature dynamics akin to associative memories [21, 22], i.e. they can display pattern-recognition behavior [23-28], and imple

Citation

Carollo, F., & Lesanovsky, I. (2021). Exactness of Mean-Field Equations for Open Dicke Models with an Application to Pattern Retrieval Dynamics. Physical Review Letters, 126(23), Article 230601. https://doi.org/10.1103/physrevlett.126.230601

• Journal Article Type: Letter
• Acceptance Date: May 7, 2021
• Online Publication Date: Jun 8, 2021
• Publication Date: Jun 11, 2021
• Deposit Date: May 7, 2021
• Publicly Available Date: Jun 8, 2021
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 126
• Issue: 23
• Article Number: 230601
• DOI: https://doi.org/10.1103/physrevlett.126.230601
• Keywords: General Physics and Astronomy
• Public URL: https://nottingham-repository.worktribe.com/output/5513877
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.126.230601