TY - JOUR
T1 - Crystalline confinement
AU - Banerjee, D.
AU - Widmer, P.
AU - Jiang, F. J.
AU - Wiese, U. J.
PY - 2013
Y1 - 2013
N2 - We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a finite-dimensional Hilbert space per link, the continuous gauge symmetry is still exact. An efficient cluster algorithm is used to study these exotic phases. The (2+1)-d system is confining at zero temperature with a spontaneously broken translation symmetry. A crystalline phase exhibits confinement via multi-stranded strings between chargeanti- charge pairs. A phase transition between two distinct confined phases is weakly first order and has an emergent spontaneously broken approximate SO(2) global symmetry. The low-energy physics is described by a (2 + 1)-d RP(1) effective field theory, perturbed by a dangerously irrelevant SO(2) breaking operator, which prevents the interpretation of the emergent pseudo- Goldstone boson as a dual photon. This model is an ideal candidate to be implemented in quantum simulators to study phenomena that are not accessible using Monte Carlo simulations such as the real- Time evolution of the confining string and the real- Time dynamics of the pseudo-Goldstone boson.
AB - We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a finite-dimensional Hilbert space per link, the continuous gauge symmetry is still exact. An efficient cluster algorithm is used to study these exotic phases. The (2+1)-d system is confining at zero temperature with a spontaneously broken translation symmetry. A crystalline phase exhibits confinement via multi-stranded strings between chargeanti- charge pairs. A phase transition between two distinct confined phases is weakly first order and has an emergent spontaneously broken approximate SO(2) global symmetry. The low-energy physics is described by a (2 + 1)-d RP(1) effective field theory, perturbed by a dangerously irrelevant SO(2) breaking operator, which prevents the interpretation of the emergent pseudo- Goldstone boson as a dual photon. This model is an ideal candidate to be implemented in quantum simulators to study phenomena that are not accessible using Monte Carlo simulations such as the real- Time evolution of the confining string and the real- Time dynamics of the pseudo-Goldstone boson.
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M3 - Conference article
AN - SCOPUS:84976309703
SN - 1824-8039
VL - 29-July-2013
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 333
T2 - 31st International Symposium on Lattice Field Theory, LATTICE 2013
Y2 - 29 July 2013 through 3 August 2013
ER -