Quantum simulation of (1 +1 )dimensional U(1) gaugeHiggs model on a lattice by cold Bose gases
Abstract
We present a theoretical study of quantum simulations of (1 +1 )dimensional U(1) lattice gaugeHiggs models, which contain a compact U(1) gauge field and a Higgs matter field, by using ultracold bosonic gases on a onedimensional optical lattice. Starting from the extended BoseHubbard model with onsite and nearestneighbor interactions, we derive the U(1) lattice gaugeHiggs model as a lowenergy effective theory. The derived gaugeHiggs model exhibits nontrivial phase transitions between the confinement and Higgs phases, and we discuss the relation with the phase transition in the extended BoseHubbard model. Finally, we study the realtime dynamics of an electric flux by the GrossPitaevskii equations and the truncated Wigner approximation. The dynamics is governed by a bosonic analog of the Schwinger mechanism—i.e., the shielding of an electric flux by a condensation of Higgs fields, which occurs differently in the Higgs and the confinement phases. These results, together with the obtained phase diagrams, shall guide experimentalists in designing quantum simulations of the gaugeHiggs models by using cold gases.
 Publication:

Physical Review D
 Pub Date:
 May 2017
 DOI:
 10.1103/PhysRevD.95.094507
 arXiv:
 arXiv:1605.00333
 Bibcode:
 2017PhRvD..95i4507K
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Lattice
 EPrint:
 15 pages, 12 figures