scholarly journals Gaussian states for the variational study of (1+1)-dimensional lattice gauge models

Author(s):  
Stefan Kuehn ◽  
Pablo Sala ◽  
Tao Shi ◽  
Mari Carmen Banuls ◽  
Eugene Demler ◽  
...  
2018 ◽  
Vol 98 (3) ◽  
Author(s):  
P. Sala ◽  
T. Shi ◽  
S. Kühn ◽  
M. C. Bañuls ◽  
E. Demler ◽  
...  

Author(s):  
Arata Yamamoto

Abstract We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.


1993 ◽  
Vol 48 (5) ◽  
pp. 2290-2298 ◽  
Author(s):  
Howard D. Trottier ◽  
R. M. Woloshyn

1992 ◽  
Vol 07 (18) ◽  
pp. 1601-1607 ◽  
Author(s):  
M. BAIG ◽  
A. TRIAS

We present the first numerical results from a lattice formulation of the Abelian surface gauge model which accounts for three-index fields required in theories based on an antisymmetrical potential. For this purpose we have defined a lattice gauge model in such a way that field variables are assigned to the plaquettes and the interaction is defined through elementary three-dimensional cubes. The phase structure of the Abelian Z(2) case has been determined using Monte-Carlo techniques. Duality relations to spin and gauge models are also studied.


2018 ◽  
Vol 390 ◽  
pp. 245-302 ◽  
Author(s):  
Tao Shi ◽  
Eugene Demler ◽  
J. Ignacio Cirac

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