The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Phase change during a cyclic quantum evolution
Abstract
A new geometric phase factor is defined for any cyclic evolution of a quantum system. This is independent of the phase factor relating the initial and final state vectors and the Hamiltonian, for a given projection of the evolution on the projective space of rays of the Hilbert space. Some applications, including the Aharonov-Bohm effect, are considered. For the special case of adiabatic evolution, this phase factor is a gauge-invariant generalization of the one found by Berry.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Observation of Berry's Topological Phase by Use of an Optical Fiber
Tomita, A., & Chiao, R. Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.937 · Cited by 810
Cited by
Photovoltaic Hall effect in graphene
Oka, T., & Aoki, H. (2009) · Physical Review B · doi:10.1103/physrevb.79.081406 · Cited by 1,423
The Adiabatic Phase and Pancharatnam's Phase for Polarized Light
Berry, M. V. (1987) · Journal of Modern Optics · doi:10.1080/09500348714551321 · Cited by 1,068
Floquet Engineering of Quantum Materials
Oka, T., & Kitamura, S. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013423 · Cited by 999
Anandan, J., & Aharonov, Y. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.1697 · Cited by 794
Self-citationPolarization of light and topological phases
Bhandari, R. (1997) · Physics Reports · doi:10.1016/s0370-1573(96)00029-4 · Cited by 298
Metadata
- Authors
- Aharonov, Y., & Anandan, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-04-20
- Volume
- 58
- Issue
- 16
- Pages
- 1593-1596
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2044154336
- Cited by
- 2,182
- References
- 1
- FWCI
- 30.69
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Phase change during a cyclic quantum evolution. https://app.cochat.ai/papers/10.1103/physrevlett.58.1593
- The paper
- Aharonov, Y., & Anandan, J. (1987). Phase change during a cyclic quantum evolution. Physical Review Letters. https://doi.org/10.1103/physrevlett.58.1593
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
