Tuning coupled cavity arrays Hamiltonians with Monte-Carlo methods

ORAL

Abstract

We used Monte-Carlo techniques to tune coupled cavity array hopping parameters for perfect quantum state transfer (QST). For coupled cavity arrays with single excitations, we were able to find multiple cavity-emitter topologies which exhibited perfect QST. This is unique, as most existing work is cavity only. We developed two methods to tune the array hopping parameters. One set the Hamiltonian eigenvalues to a list of known eigenvalues, while the second set the time evolution operator to a predetermined matrix. The second method is of considerable interest, as it is easily generalized to multiple excitations. We will also show that using these methods, it is possible to "program" a coupled cavity array for a quite general time dependent behavior.

*E.B., Y.Z., and R.T.S. were supported by the grant DE‐SC0014671 funded by the U.S.~Department of Energy, Office of Science.A.B. and J.M. were supported by the Research Experience for Undergraduates program (NSF grant PHY-1852581).MR acknowledges support of the National Science Foundation (CAREER-2047564).

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Presenters

  • Eli N Baum

    • University of California, Davis
    • Department of Physics and Astronomy, University of California, Davis

Authors

  • Eli N Baum

    • University of California, Davis
    • Department of Physics and Astronomy, University of California, Davis

  • Jack Mucciaccio

    • Coe College

  • Amelia Broman

    • Carleton College

  • Trevor A Clarke

    • University of California, Davis

  • Alexander Yue

    • University of California, Davis
    • University of California - Davis

  • Yuxi Zhang

    • University of California, Davis

  • Jesse Patton

    • University of California, Davis
    • University of California - Davis

  • Victoria A Norman

    • University of California, Davis

  • Marina Radulaski

    • University of California, Davis

  • Natanael C Costa

    • Universidade Federal do Rio de Janeiro

  • Richard T Scalettar

    • University of California, Davis