We propose an architecture for an analog quantum simulator of electromagnetism in 2+1 dimensions, based on an array of superconducting fluxonium devices. The encoding is in the integer (spin-1) representation of the quantum link model formulation of compact U(1) lattice gauge theory. We show how to engineer Gauss' law via an ancilla mediated gadget construction, and how to tune between the strongly coupled and intermediately coupled regimes. The witnesses to the existence of the predicted confining phase of the model are provided by nonlocal order parameters from Wilson loops and disorder parameters from 't Hooft strings. We show how to construct such operators in this model and how to measure them nondestructively via dispersive coupling of the fluxonium islands to a microwave cavity mode. Numerical evidence is found for the existence of the confined phase in the ground state of the simulation Hamiltonian on a ladder geometry.

Loops and Strings in a Superconducting Lattice Gauge Simulator / Brennen G.K.; Pupillo G.; Rico E.; Stace T.M.; Vodola D.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - ELETTRONICO. - 117:24(2016), pp. 240504.240504-1-240504.240504-7. [10.1103/PhysRevLett.117.240504]

Loops and Strings in a Superconducting Lattice Gauge Simulator

Vodola D.
2016

Abstract

We propose an architecture for an analog quantum simulator of electromagnetism in 2+1 dimensions, based on an array of superconducting fluxonium devices. The encoding is in the integer (spin-1) representation of the quantum link model formulation of compact U(1) lattice gauge theory. We show how to engineer Gauss' law via an ancilla mediated gadget construction, and how to tune between the strongly coupled and intermediately coupled regimes. The witnesses to the existence of the predicted confining phase of the model are provided by nonlocal order parameters from Wilson loops and disorder parameters from 't Hooft strings. We show how to construct such operators in this model and how to measure them nondestructively via dispersive coupling of the fluxonium islands to a microwave cavity mode. Numerical evidence is found for the existence of the confined phase in the ground state of the simulation Hamiltonian on a ladder geometry.
2016
Loops and Strings in a Superconducting Lattice Gauge Simulator / Brennen G.K.; Pupillo G.; Rico E.; Stace T.M.; Vodola D.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - ELETTRONICO. - 117:24(2016), pp. 240504.240504-1-240504.240504-7. [10.1103/PhysRevLett.117.240504]
Brennen G.K.; Pupillo G.; Rico E.; Stace T.M.; Vodola D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/698959
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