Quantum phase transitions of the anisotropic Dicke-Ising model in driven Rydberg arrays

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Dong, Bao-Yun, Liang, Ying, Chesi, Stefano, Zhang, Xue-Feng
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866912734053924864
author Dong, Bao-Yun
Liang, Ying
Chesi, Stefano
Zhang, Xue-Feng
author_facet Dong, Bao-Yun
Liang, Ying
Chesi, Stefano
Zhang, Xue-Feng
contents We study the properties of a generalized Dicke-Ising model realized with an array of Rydberg atoms, driven by microwave electric fields and coupled to an optical cavity. As this platform allows for a precisely tunable anisotropy parameter, the model exhibits a rich landscape of phase transitions and critical phenomena, induced by the interplay of rotating-wave, counter-rotating-wave, and Ising interactions. We develop an improved quantum Monte Carlo algorithm based on the stochastic series expansion that explicitly tracks the Fock state of the quantum cavity. In the superradiant (SR) phase, this allows us to determine, through data collapse, the scaling laws of the photon number. We also demonstrate the vanishing of parity symmetry in finite-size simulations and show that the Rydberg blockade leads to a significant suppression of cavity occupation. Notably, stronger quantum fluctuations induced by the counter-rotating wave terms slightly favor the superradiant solid (SRS) phase over the Solid-1/2 state. Finally, we confirm that the SR phase transition and the transition from the Solid-1/2 to the SRS are second-order. In contrast, the transitions from the Solid-1/2 or SRS to the SR phase are both first-order for any value of the normalized anisotropy parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22230
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum phase transitions of the anisotropic Dicke-Ising model in driven Rydberg arrays
Dong, Bao-Yun
Liang, Ying
Chesi, Stefano
Zhang, Xue-Feng
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
We study the properties of a generalized Dicke-Ising model realized with an array of Rydberg atoms, driven by microwave electric fields and coupled to an optical cavity. As this platform allows for a precisely tunable anisotropy parameter, the model exhibits a rich landscape of phase transitions and critical phenomena, induced by the interplay of rotating-wave, counter-rotating-wave, and Ising interactions. We develop an improved quantum Monte Carlo algorithm based on the stochastic series expansion that explicitly tracks the Fock state of the quantum cavity. In the superradiant (SR) phase, this allows us to determine, through data collapse, the scaling laws of the photon number. We also demonstrate the vanishing of parity symmetry in finite-size simulations and show that the Rydberg blockade leads to a significant suppression of cavity occupation. Notably, stronger quantum fluctuations induced by the counter-rotating wave terms slightly favor the superradiant solid (SRS) phase over the Solid-1/2 state. Finally, we confirm that the SR phase transition and the transition from the Solid-1/2 to the SRS are second-order. In contrast, the transitions from the Solid-1/2 or SRS to the SR phase are both first-order for any value of the normalized anisotropy parameter.
title Quantum phase transitions of the anisotropic Dicke-Ising model in driven Rydberg arrays
topic Quantum Gases
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2511.22230