Large-n O(n) with long-range interactions: integrability and resonance dynamics

2025/12/16 by Giachetti, Guido, Defenu, Nicolo
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2512.14868

openalex publication_date 2025/12/16 · openalex created_date 2025/12/19 · openalex updated_date 2026/07/28

Abstract

We study the large-n dynamics of the long-range quantum O(n) model, focusing on the strong long-range regime α

Citations

• Universality and weak-ergodicity breaking in quantum quenches
• One-dimensional long-range Ising model: two (almost) equivalent approximations
• 1d Ising model with 1/r^1.99 interaction
• On the Conditions for a Quantum Violent Relaxation
• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Statistical mechanics and dynamics of solvable models with long-range interactions
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model

Related

• Finite-Size Scaling and Long-Range Interactions
• Long-range interacting systems are locally non-interacting
• Effect of slowly decaying long-range interactions on topological qubits
• From Short-Range to Mean-Field Models in Quantum Lattices
• Large N vector models in the Hamiltonian framework