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 Rb87 and K41 Bose-Bose mixture.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2014
Accession Number
AD1037355

Entities

People

  • Chen-yen Lai
  • J. Unmuth-yockey
  • Yuzhi Liu

Organizations

  • University of California, Riverside

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Computational Science
  • Hilbert Space
  • Lattice Quantum Chromodynamics
  • Optical Lattices
  • Perturbation Theory
  • Phase Diagrams
  • Phase Transformations
  • Physical Theories
  • Physics
  • Quantum Chromodynamics
  • Quantum Field Theory
  • Quantum Mechanics
  • Quantum Numbers
  • Quantum Properties
  • Simulators
  • Subatomic Particles

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing