On the geometric phases in entangled states-Reference-Cited by-同舟云学术

On the geometric phases in entangled states

Published:2023-12-29 Issue:2 Volume:65 Page:142-151
ISSN:2618-6462
Container-title:Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering
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Author:

TUNALIOĞLU Melik Emirhan¹^ORCID,ÇILDIROĞLU Hasan Özgür¹^ORCID,YILMAZER Ali Ulvi¹^ORCID

Affiliation:

1. ANKARA ÜNİVERSİTESİ

Abstract

Correlation relations for the spin measurements on a pair of entangled particles scattered by the two separate arms of interferometers in hybrid setups of different types are investigated. Concurrence, entanglement of formation, quantum fidelity, Bures distance are used to clarify how the geometric phase affects the initial bipartite state. This affect causes a quantum interference due to the movement of charged particles in regions where electromagnetic fields are not present. We shown that in some cases the geometric phase information is carried over to the final bipartite entangled state.

Publisher

Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering

Reference44 articles.

1. Ehrenberg, W., Siday, R. E., The refractive index in electron optics and the principles of dynamics, Proceedings of the Physical Society, Section B 62 (1) (1949), 8–21, https://doi.org/10.1088/0370-1301/62/1/303.

2. Kato, T., On the adiabatic theorem of quantum mechanics. J. Phys. Soc. Jpn., 5 (6) (1950), 435–439, https://doi.org/10.1143/JPSJ.5.435.

3. Pancharatnam, S., Generalized theory of interference, and its applications, Proceedings of the Indian Academy of Sciences, Section A 44 (5) (1956), 247–262, https://doi.org/10.1007/BF03046050.

4. Longuet-Higgins, H. C., Opik, U., Pryce, M. H. L., Sack, R., Studies of the Jahn-Teller effect .II. The dynamical problem, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 244 (1236) (1958), 1–16, https://doi.org/10.1098/rspa.1958.0022.

5. Aharonov, Y., Bohm, D.: Significance of Electromagnetic Potentials in the Quantum Theory, Phys. Rev., 115 (3) (1959), 485, https://doi.org/10.1103/PhysRev.115.485.

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