Rabi lattice models with discrete gauge symmetry: Phase diagram and implementation in trapped-ion quantum simulators

Pedro Nevado and Diego Porras
Phys. Rev. A 92, 013624 – Published 20 July 2015

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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  • Received 16 March 2015

DOI:https://doi.org/10.1103/PhysRevA.92.013624

©2015 American Physical Society

Authors & Affiliations

Pedro Nevado* and Diego Porras

  • Department of Physics and Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom

  • *P.Nevado-Serrano@sussex.ac.uk
  • D.Porras@sussex.ac.uk

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Vol. 92, Iss. 1 — July 2015

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