Rabi Lattice models with discrete gauge symmetry: phase diagram and implementation in trapped ion quantum simulators

2015/03/16 by Pedro Nevado, Nevado, Pedro, Diego Porras +1
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum many-body systems #Theoretical and Computational Physics #physics.atom-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.1503.04614

arxiv created 2015/03/16 · openalex publication_date 2015/03/16 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a spin-boson chain that exhibits a local Z2 symmetry. We investigate the quantum phase diagram of the model by means of perturbation theory, mean field theory and the Density Matrix Renormalization Group method. Our calculations show the existence of a first order phase transition in the region where the boson quantum dynamics is slow compared to the spin-spin interactions. Our model can be implemented with trapped ion quantum simulators, leading to a realization of minimal models showing local gauge invariance and first order phase transitions.

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