Signatures of quantum phase transitions in the dynamic response of fluxonium qubit chains

Hendrik Meier, R. T. Brierley, Angela Kou, S. M. Girvin, and Leonid I. Glazman
Phys. Rev. B 92, 064516 – Published 24 August 2015

Abstract

We evaluate the microwave admittance of a one-dimensional chain of fluxonium qubits coupled by shared inductors. Despite its simplicity, this system exhibits a rich phase diagram. A critical applied magnetic flux separates a homogeneous ground state from a phase with a ground state exhibiting inhomogeneous persistent currents. Depending on the parameters of the array, the phase transition may be a conventional continuous one, or of a commensurate-incommensurate nature. Furthermore, quantum fluctuations affect the transition and possibly lead to the presence of gapless “floating phases.” The signatures of the soft modes accompanying the transitions appear as a characteristic frequency dependence of the dissipative part of admittance.

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  • Received 22 July 2015

DOI:https://doi.org/10.1103/PhysRevB.92.064516

©2015 American Physical Society

Authors & Affiliations

Hendrik Meier1, R. T. Brierley1, Angela Kou2, S. M. Girvin1,2, and Leonid I. Glazman1,2

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
  • 2Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA

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Issue

Vol. 92, Iss. 6 — 1 August 2015

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