Saved in:
Bibliographic Details
Main Authors: Zhang, Victoria, Ostermann, Stefan, Rubies-Bigorda, Oriol, Yelin, Susanne F.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.19168
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866913406575968256
author Zhang, Victoria
Ostermann, Stefan
Rubies-Bigorda, Oriol
Yelin, Susanne F.
author_facet Zhang, Victoria
Ostermann, Stefan
Rubies-Bigorda, Oriol
Yelin, Susanne F.
contents We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field model allows four different types of dynamics at late times: a single monostable steady state solution, bistability (where two stable steady state solutions exist), limit cycles and chaotic dynamics. We provide conditions on the parameters required to realize the different solutions in the thermodynamic limit. In this limit, only the monostable or bistable regime can be accessed for the parameter values accessible via light-induced dipole-dipole interactions. For finite size periodic arrays, however, we find that the mean-field dynamics of the many-body system also exhibit limit cycles and chaotic behavior. Notably, the emergence of chaotic dynamics does not rely on the randomness of an external control parameter but arises solely due to the interplay of coherent drive and dissipation.
format Preprint
id arxiv_https___arxiv_org_abs_2406_19168
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays
Zhang, Victoria
Ostermann, Stefan
Rubies-Bigorda, Oriol
Yelin, Susanne F.
Quantum Physics
We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field model allows four different types of dynamics at late times: a single monostable steady state solution, bistability (where two stable steady state solutions exist), limit cycles and chaotic dynamics. We provide conditions on the parameters required to realize the different solutions in the thermodynamic limit. In this limit, only the monostable or bistable regime can be accessed for the parameter values accessible via light-induced dipole-dipole interactions. For finite size periodic arrays, however, we find that the mean-field dynamics of the many-body system also exhibit limit cycles and chaotic behavior. Notably, the emergence of chaotic dynamics does not rely on the randomness of an external control parameter but arises solely due to the interplay of coherent drive and dissipation.
title Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays
topic Quantum Physics
url https://arxiv.org/abs/2406.19168