The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Geometric Phases for Mixed States in Interferometry
Open accessAbstract
We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past. We define the parallel transport condition that provides a connection form for obtaining the geometric phase for mixed states. The expression for the geometric phase for mixed state reduces to well known formulas in the pure state case when a system undergoes noncyclic and unitary quantum evolution.
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Citations
Cites
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,182
Self-citationGeneralized theory of interference, and its applications: Part I. Coherent pencils
Pancharatnam, S. (1956) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03046050 · Cited by 1,616
General Setting for Berry's Phase
Samuel, J., & Bhandari, R. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.2339 · Cited by 994
Geometric quantum computation using nuclear magnetic resonance
Jones, J. A., Vedral, V., Ekert, A., & Castagnoli, G. (2000) · Nature · doi:10.1038/35002528 · Cited by 812
Self-citationParallel transport and “quantum holonomy” along density operators
Uhlmann, A. (1986) · Reports on Mathematical Physics · doi:10.1016/0034-4877(86)90055-8 · Cited by 547
Quantum Kinematic Approach to the Geometric Phase. I. General Formalism
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Self-citationVerification of coherent spinor rotation of fermions
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Observation of the Phase Shift of a Neutron Due to Precession in a Magnetic Field
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Cited by
Dynamical quantum phase transitions: a review
Heyl, M. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaaf9a · Cited by 678
Direct Estimations of Linear and Nonlinear Functionals of a Quantum State
Ekert, A. K., Alves, C. M., Oi, D. K. L., Horodecki, M., Horodecki, P., & Kwek, L. C. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.217901 · Cited by 427
Self-citationSpin–orbit coupling of light in asymmetric microcavities
Ma, L. B., Li, S. L., Fomin, V. M., Hentschel, M., Götte, J. B., Yin, Y., Jorgensen, M. R., & Schmidt, O. G. (2016) · Nature Communications · doi:10.1038/ncomms10983 · Cited by 88
Quantum speed limit for mixed states using an experimentally realizable metric
Mondal, D., & Pati, A. K. (2016) · Physics Letters A · doi:10.1016/j.physleta.2016.02.018 · Cited by 78
Self-citationBerry and Pancharatnam topological phases of atomic and optical systems
Ben-Aryeh, Y. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/4/r01 · Cited by 40
Metadata
- Authors
- Sjöqvist, E., Pati, A. K., Ekert, A., Anandan, J. S., Ericsson, M., Oi, D. K. L., & Vedral, V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-10-02
- Volume
- 85
- Issue
- 14
- Pages
- 2845-2849
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1998580770
- Cited by
- 600
- References
- 24
- FWCI
- 9.72
- Type
- journal article
- Language
- en
- Open access
- green
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- The paper
- Sjöqvist, E., Pati, A. K., Ekert, A., Anandan, J. S., Ericsson, M., Oi, D. K. L., & Vedral, V. (2000). Geometric Phases for Mixed States in Interferometry. Physical Review Letters. https://doi.org/10.1103/physrevlett.85.2845
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