Phase change during a cyclic quantum evolution.

作者: Y. Aharonov , J. Anandan

DOI: 10.1103/PHYSREVLETT.58.1593

关键词: Quantum tomographyQuantum statePOVMQuantum mechanicsPhase factorPhysicsQuantum operationMathematical physicsGeometric phasePhase spaceOptical phase space

摘要: A new geometric phase factor is defined for any cyclic evolution of a quantum system. This independent the relating initial and final state vectors Hamiltonian, given projection on projective space rays Hilbert space. Some applications, including Aharonov-Bohm effect, are considered. For special case adiabatic evolution, this gauge-invariant generalization one found by Berry.

参考文章(8)
Yakir Aharonov, Leonard Susskind, Observability of the Sign Change of Spinors under2πRotations Physical Review. ,vol. 158, pp. 1237- 1238 ,(1967) , 10.1103/PHYSREV.158.1237
Michael Victor Berry, Quantal phase factors accompanying adiabatic changes Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 392, pp. 45- 57 ,(1984) , 10.1098/RSPA.1984.0023
Barry Simon, Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Physical Review Letters. ,vol. 51, pp. 2167- 2170 ,(1983) , 10.1103/PHYSREVLETT.51.2167
J. Anandan, L. Stodolsky, Some Geometrical Considerations of Berry's Phase Physical Review D. ,vol. 35, pp. 2597- 2600 ,(1987) , 10.1103/PHYSREVD.35.2597
Raymond Y. Chiao, Yong-Shi Wu, Manifestations of Berry's Topological Phase for the Photon Physical Review Letters. ,vol. 57, pp. 933- 936 ,(1986) , 10.1103/PHYSREVLETT.57.933
Akira Tomita, Raymond Y. Chiao, Observation of Berry's topological phase by use of an optical fiber. Physical Review Letters. ,vol. 57, pp. 937- 940 ,(1986) , 10.1103/PHYSREVLETT.57.937
Y. Aharonov, D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory Physical Review. ,vol. 115, pp. 485- 491 ,(1959) , 10.1103/PHYSREV.115.485
Y. Aharonov, M. Vardi, Quantum effect of electromagnetic potentials on an internal degree of freedom Physical Review D. ,vol. 20, pp. 3213- 3215 ,(1979) , 10.1103/PHYSREVD.20.3213