Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms - INSPIRE

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Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms

Feb 17, 2017

28 pages

Published in:

New J.Phys. 19 (2017) 6, 063038

Published: Jun 30, 2017

e-Print:

1702.05492 [quant-ph]

DOI:

10.1088/1367-2630/aa6f37

View in:

ADS Abstract Service

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Abstract: (arXiv)

We present a quantum simulation scheme for the Abelian-Higgs lattice gauge theory using ultracold bosonic atoms in optical lattices. The model contains both gauge and Higgs scalar fields, and exhibits interesting phases related to confinement and the Higgs mechanism. The model can be simulated by an atomic Hamiltonian, by first mapping the local gauge symmetry to an internal symmetry of the atomic system, the conservation of hyperfine angular momentum in atomic collisions. By including auxiliary bosons in the simulation, we show how the Abelian-Higgs Hamiltonian emerges effectively. We analyze the accuracy of our method in terms of different experimental parameters, as well as the effect of the finite number of bosons on the quantum simulator. Finally, we propose possible experiments for studying the ground state of the system in different regimes of the theory, and measuring interesting high energy physics phenomena in real time.

symmetry: gauge
symmetry: internal
lattice: optical
field theory: scalar
lattice field theory
Hamiltonian
atom
angular momentum
conservation law
Higgs mechanism

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