Exactly Solvable Phase Transition in a Cavity-Coupled 1D Ising Chain

2025/07/02 by Otake, Shuntaro, Bamba, Motoaki
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2507.01486

Abstract

Although one-dimensional classical spin chains do not exhibit phase transitions, we found that a phase transition does occur when they are coupled to a cavity photon mode. This provides the simplest exactly solvable examples demonstrating that finite-temperature superradiant phase transitions can emerge from long-range fully connected interactions mediated by photons and interactions within the material.

Citations

• One-dimensional extended Hubbard model coupled with an optical cavity
• Role of Matter Interactions in Superradiant Phenomena
• Melting of devil's staircases in the long-range Dicke-Ising model
• Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Ultrastrong coupling regimes of light-matter interaction
• First-Order Superradiant Phase Transitions in a Multiqubit Cavity System

Related

• Finding and classifying an infinite number of cases of the marginal phase transition in one-dimensional Ising models
• General phase diagram features of superradiant phase transitions
• Quantum phase transition of light in coupled optical cavity arrays: A renormalization group study
• First-Order Superradiant Phase Transitions in a Multiqubit Cavity System
• Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours