Quantum criticality of the ferromagnetic Dicke-Ising model

Fuente: arXiv
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Main Author: Koziol, Jan Alexander
Format: Preprint
Published: 2026
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author Koziol, Jan Alexander
author_facet Koziol, Jan Alexander
contents We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant phases through a tricritical point. We identify virtual nearest-neighbor double spin-flip processes as the crucial mechanism responsible for this behavior. The tricritical point constitutes a quantum phase transition above the upper critical dimension. We discuss the modifications to finite-size scaling required for the correct interpretation of numerical data at the tricritical point. Our results emphasize the need for adapted finite-size scaling forms in all-to-all interacting quantum systems and establish the ferromagnetic Dicke-Ising model as a paradigmatic platform for quantum phase transitions above the upper critical dimension, encompassing both standard $ϕ^4$ criticality and beyond.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27484
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum criticality of the ferromagnetic Dicke-Ising model
Koziol, Jan Alexander
Strongly Correlated Electrons
Quantum Gases
Quantum Physics
We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant phases through a tricritical point. We identify virtual nearest-neighbor double spin-flip processes as the crucial mechanism responsible for this behavior. The tricritical point constitutes a quantum phase transition above the upper critical dimension. We discuss the modifications to finite-size scaling required for the correct interpretation of numerical data at the tricritical point. Our results emphasize the need for adapted finite-size scaling forms in all-to-all interacting quantum systems and establish the ferromagnetic Dicke-Ising model as a paradigmatic platform for quantum phase transitions above the upper critical dimension, encompassing both standard $ϕ^4$ criticality and beyond.
title Quantum criticality of the ferromagnetic Dicke-Ising model
topic Strongly Correlated Electrons
Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2605.27484