Non-abelian geometric phases in ground-state Josephson devices

Juha-Matti Pirkkalainen, Paolo Solinas, Jukka Pekola, Mikko Möttönen

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)
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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.
Original languageEnglish
Article number174506
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B
Issue number17
Publication statusPublished - 5 May 2010
MoE publication typeA1 Journal article-refereed


  • ground-state Josephson devices
  • Non-Abelian geometric phases


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