Quantum simulation architecture for lattice bosons in arbitrary, tunable, external gauge fields

Eliot Kapit
Phys. Rev. A 87, 062336 – Published 27 June 2013

Abstract

I describe a lattice of asymmetrical qubit pairs in arbitrary dimension, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. I show, in particular, that one can choose the parameters of the many-body circuit to reach a regime where the complex hopping phase between any two elements can be tuned to any value by simply adjusting the relative phases of two applied oscillating voltage signals. I also propose specific realizations of our model using coupled three junction flux qubits or transmon qubits, in which one can reach the strongly interacting bosonic quantum Hall limit where one will find anyonic excitations. This model could also be studied in trapped ions, and the superconducting circuits could be used for topological quantum computation.

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  • Received 26 February 2013

DOI:https://doi.org/10.1103/PhysRevA.87.062336

©2013 American Physical Society

Authors & Affiliations

Eliot Kapit*

  • Rudolf Peierls Center for Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom

  • *eliot.kapit@physics.ox.ac.uk

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Issue

Vol. 87, Iss. 6 — June 2013

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