Non-abelian superconducting pumps

被引:30
作者
Brosco, Valentina [1 ,2 ,3 ,4 ]
Fazio, Rosario [5 ,6 ,7 ]
Hekking, F. W. J. [8 ,9 ]
Joye, Alain [8 ,9 ,10 ]
机构
[1] Univ Karlsruhe, Inst Theoret Festkorperphys, D-76128 Karlsruhe, Germany
[2] Univ Karlsruhe, DFG Ctr Funct Nanostruct, D-76128 Karlsruhe, Germany
[3] Univ Pisa, NEST CNR, INFM, I-56100 Pisa, Italy
[4] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy
[5] Scuola Int Super Studi Avanzati, SISSA, I-34014 Trieste, Italy
[6] NEST CNR, INFM, I-56126 Pisa, Italy
[7] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[8] CNRS, LPMMC, F-38042 Grenoble 9, France
[9] Univ Grenoble 1, F-38042 Grenoble 9, France
[10] Inst Fourier, F-38402 St Martin Dheres, France
关键词
D O I
10.1103/PhysRevLett.100.027002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Cooper pair pumping is a coherent process. We derive a general expression for the adiabatic pumped charge in superconducting nanocircuits in the presence of level degeneracy and relate it to non-Abelian holonomies of Wilczek and Zee. We discuss an experimental system where the non-Abelian structure of the adiabatic evolution manifests in the pumped charge.
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页数:4
相关论文
共 28 条
[1]   PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].
AHARONOV, Y ;
ANANDAN, J .
PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596
[2]   NON-ADIABATIC NON-ABELIAN GEOMETRIC PHASE [J].
ANANDAN, J .
PHYSICS LETTERS A, 1988, 133 (4-5) :171-175
[3]   Connecting Berry's phase and the pumped charge in a Cooper pair pump [J].
Aunola, M ;
Toppari, JJ .
PHYSICAL REVIEW B, 2003, 68 (02)
[4]   Geometry, statistics, and asymptotics of quantum pumps [J].
Avron, JE ;
Elgart, A ;
Graf, GM ;
Sadun, L .
PHYSICAL REVIEW B, 2000, 62 (16) :R10618-R10621
[6]  
Bohm A., 2003, TEXT MONOGR, P439
[7]   Scattering approach to parametric pumping [J].
Brouwer, PW .
PHYSICAL REVIEW B, 1998, 58 (16) :10135-10138
[8]   CURRENT PARTITION IN MULTIPROBE CONDUCTORS IN THE PRESENCE OF SLOWLY OSCILLATING EXTERNAL POTENTIALS [J].
BUTTIKER, M ;
THOMAS, H ;
PRETRE, A .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1994, 94 (1-2) :133-137
[10]   Geometric manipulation of trapped ions for quantum computation [J].
Duan, LM ;
Cirac, JI ;
Zoller, P .
SCIENCE, 2001, 292 (5522) :1695-1697