Adiabatic holonomy and evolution of fermionic coherent state
- 15 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 39 (8) , 2327-2331
- https://doi.org/10.1103/physrevd.39.2327
Abstract
The adiabatic evolution of Pauli spin in a slowly varying external magnetic field is studied by using the fermionic coherent state defined by the Grassmann-variant unitary displacement from the stable adiabatic vacuum. This manifests the interrelation between Berry’s phase and Hannay’s angle in a peculiar manner. The gauge field strength giving rise to the geometrical phase is found to be that of a monopole of a Grassmann charge. We quantize this charge based on the Bohr-Sommerfeld-type rule for Grassmannian systems and then correctly obtain Berry’s phase.Keywords
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