Berry's phase in view of quantum estimation theory, and its intrinsic relation with the complex structure

2000/06/16 by Keiji Matsumoto, Matsumoto, Keiji
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0006076

arxiv created 2000/06/16 · arxiv updated 2009/12/01

Abstract

In this paper, it is pointed out that the Berry's phase is a good index of degree of no-commutativity of the quantum statistical model. Intrinsic relations between the `complex structure' of the Hilbert space and Berry's phase is also discussed.

Related

• Berry phase and quantum structure
• Berry's phase
• Some geometric features of Berry's phase
• Berry phase due to quantum measurements
• Relation between the Berry phase in quantum hermitian and non-hermitian systems and the Hannay phase in the equivalent classical systems