Progress towards quantum simulating the classical O(2) model

Abstract

We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization group formulation, we take the time continuum limit and check that finite dimensional projections used in recent proposals for quantum simulators provide controllable approximations of the original model. We propose two-species Bose-Hubbard models corresponding to these finite dimensional projections at strong coupling and discuss their possible implementations on optical lattices using a ${}^{87}$Rb and ${}^{41}$K Bose-Bose mixture.

7 pages, 6 figures, uses revtex, new material and one author added, as to appear in Phys. Rev. A

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Cited by in corpus (4)

• The two-dimensional O(3) model at nonzero density: from dual lattice simulations to repulsive bosons
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• The effective U(1)-Higgs theory at strong coupling on optical lattices?
• Critical behavior of SU(3) lattice gauge theory with 12 light flavors