4.6 Article

Non-Abelian geometric phases in ground-state Josephson devices

期刊

PHYSICAL REVIEW B
卷 81, 期 17, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.81.174506

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资金

  1. Academy of Finland
  2. Emil Aaltonen Foundation
  3. Finnish Cultural Foundation
  4. Australian Research Council
  5. Australian Government
  6. U.S. National Security Agency
  7. U.S. Army Research Office [W911NF-04-1-0290]
  8. European Community [238345]

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We present a superconducting circuit in which non-Abelian geometric transformations can be realized using an adiabatic parameter cycle. In contrast to previous proposals, we employ quantum evolution in the ground state. We propose an experiment in which the transition from non-Abelian to Abelian cycles can be observed by measuring the pumped charge as a function of the period of the cycle. Alternatively, the non-Abelian phase can be detected using a single-electron transistor working as a charge sensor.

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