Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms

Daniel González-Cuadra*, Erez Zohar, J. Ignacio Cirac

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


We present a quantum simulation scheme for the Abelian-Higgs lattice gauge theory using ultracold bosonic atoms in optical lattices. The model contains both gauge and Higgs scalar fields, and exhibits interesting phases related to confinement and the Higgs mechanism. The model can be simulated by an atomic Hamiltonian, by first mapping the local gauge symmetry to an internal symmetry of the atomic system, the conservation of hyperfine angular momentum in atomic collisions. By including auxiliary bosons in the simulation, we show how the Abelian-Higgs Hamiltonian emerges effectively. We analyze the accuracy of our method in terms of different experimental parameters, as well as the effect of the finite number of bosons on the quantum simulator. Finally, we propose possible experiments for studying the ground state of the system in different regimes of the theory, and measuring interesting high energy physics phenomena in real time.

Original languageAmerican English
Article number063038
JournalNew Journal of Physics
Issue number6
StatePublished - Jun 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.


  • lattice gauge theory
  • quantum simulation
  • ultracold atoms


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