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Phonon dressing of a facilitated one-dimensional Rydberg lattice gas

Magoni, Matteo; Mazza, Paolo; Lesanovsky, Igor

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Authors

Matteo Magoni

Paolo Mazza



Abstract

We study the dynamics of a one-dimensional Rydberg lattice gas under facilitation (antiblockade) conditions which implements a so-called kinetically constrained spin system. Here an atom can only be excited to a Rydberg state when one of its neighbors is already excited. Once two or more atoms are simultaneously excited mechanical forces emerge, which couple the internal electronic dynamics of this many-body system to external vibrational degrees of freedom in the lattice. This electron-phonon coupling results in a so-called phonon dressing of many-body states which in turn impacts on the facilitation dynamics. In our theoretical study we focus on a scenario in which all energy scales are sufficiently separated such that a perturbative treatment of the coupling between electronic and vibrational states is possible. This allows to analytically derive an effective Hamiltonian for the evolution of clusters of consecutive Rydberg excitations in the presence of phonon dressing. We analyze the spectrum of this Hamiltonian and show — by employing Fano resonance theory — that the interaction between Rydberg excitations and lattice vibrations leads to the emergence of slowly decaying bound states that inhibit fast relaxation of certain initial states.

Citation

Magoni, M., Mazza, P., & Lesanovsky, I. (2022). Phonon dressing of a facilitated one-dimensional Rydberg lattice gas. SciPost Physics Core, 5(3), Article 041. https://doi.org/10.21468/SciPostPhysCore.5.3.041

Journal Article Type Article
Acceptance Date Jul 29, 2022
Online Publication Date Aug 23, 2022
Publication Date Jul 1, 2022
Deposit Date Aug 23, 2022
Publicly Available Date Aug 24, 2022
Journal SciPost Physics Core
Electronic ISSN 2666-9366
Publisher Stichting SciPost
Peer Reviewed Peer Reviewed
Volume 5
Issue 3
Article Number 041
DOI https://doi.org/10.21468/SciPostPhysCore.5.3.041
Public URL https://nottingham-repository.worktribe.com/output/10361786
Publisher URL https://scipost.org/10.21468/SciPostPhysCore.5.3.041

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