Tuning Logical Phi-Bit State Vectors in an Externally Driven Nonlinear Array of Acoustic Waveguides via Drivers’ Phase

Pierre A. Deymier, Keith Runge, M. Arif Hasan, Trevor D. Lata, Josh A. Levine

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We experimentally navigate the Hilbert space of two logical phi-bits supported by an externally driven nonlinear array of coupled acoustic waveguides by parametrically changing the relative phase of the drivers. We observe sharp phase jumps of approximately 180° in the individual phi-bit states as a result of the phase tuning of the drivers. The occurrence of these sharp phase jumps varies from phi-bit to phi-bit. All phi-bit phases also possess a common background dependency on the drivers’ phase. Within the context of multiple time scale perturbation theory, we develop a simple model of the nonlinear array of externally driven coupled acoustic waveguides to shed light on the possible mechanisms for the experimentally observed behavior of the logical phi-bit phase. Finally, we illustrate the ability to experimentally initialize the state of single- and multiple- phi-bit systems by exploiting the drivers’ phase as a tuning parameter. We also show that the nonlinear correlation between phi-bits enables parallelism in the manipulation of two- and multi-phi-bit superpositions of states.

Original languageEnglish (US)
Pages (from-to)325-344
Number of pages20
JournalQuantum Reports
Volume5
Issue number2
DOIs
StatePublished - Jun 2023

Keywords

  • Hilbert space
  • acoustic classical analogs of qubits
  • acoustic metamaterial
  • nonlinear phase jumps
  • superpositions of states

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Astronomy and Astrophysics
  • Physics and Astronomy (miscellaneous)

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