Non-Abelian geometric phases in ground-state Josephson devices

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2010
Major/Subject
Mcode
Degree programme
Language
en
Pages
174506/1-4
Series
Physical Review B, Volume 81, Issue 17
Abstract
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.
Description
Keywords
superconducting circuits, non-Abelian geometric transformations, Josephson devices, single-electron transistors
Other note
Citation
Pirkkalainen, J.-M. & Solinas, P. & Pekola, Jukka & Möttönen, M. 2010. Non-Abelian geometric phases in ground-state Josephson devices. Physical Review B. Volume 81, Issue 17. 174506/1-4. ISSN 1098-0121 (printed). DOI: 10.1103/physrevb.81.174506.