Weak measurement of Berry's phase

Gedik, Zafer (2021) Weak measurement of Berry's phase. Journal of Physics A: Mathematical and Theoretical, 54 (40). ISSN 1751-8113 (Print) 1751-8121 (Online)

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Quantum measurements can be generalized to include complex quantities. It is possible to relate the quantum weak values of projection operators to the third order Bargmann invariants. The argument of the weak value becomes, up to a sign, equal to the Berry's phase associated with the three state vectors. In case of symmetric informationally complete, positive operator valuedmeasures, this relation takes a particularly simple form. Alternating strong and weak measurements can be used to determine Berry's phase directly, which demonstrates that not only their real and imaginary parts but also moduli and arguments of weak values have a physical significance. For an arbitrary projection operator, weak value is real when the projector, pre- and post-selected states lie on a so-called null phase curve which includes the geodesic containing the three states as a special case.
Item Type: Article
Uncontrolled Keywords: Berry's phase; Geometric phase; Weak measurements; Weak values
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Zafer Gedik
Date Deposited: 28 Aug 2022 18:07
Last Modified: 28 Aug 2022 18:07
URI: https://research.sabanciuniv.edu/id/eprint/43784

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