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Kvantovaya Elektronika, 2019, Volume 49, Number 5, Pages 439–442 (Mi qe17050)  

This article is cited in 1 scientific paper (total in 1 paper)

Special issue 'Physics of ultracold atoms and their applications'

Quantum geometric phase under pre- and post-selection

T. S. Yakovlevaab, A. M. Rostomb, V. A. Tomilinab, L. V. Il'ichevab

a Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University

Abstract: We consider a quantum system subjected to a controlled phase transformation and interaction with the environment in between the acts of selection, which leads to the emergence of interference effects. It is shown that the shift of the dependence of the statistics of contacts' information with the environement on the controlled phase shift can be interpreted as a geometric phase. This interpretation is consistent with the known operational approach to the geometric phase. As a result, we suggest generalising the operational approach to the realm of pre- and post-selected quantum states.

Keywords: quantum geometric phase, Mach–Zehnder interferometer, two-state vector formalism.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations AAAA-A17-117052210003-4


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English version:
Quantum Electronics, 2019, 49:5, 439–442

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Received: 12.03.2019

Citation: T. S. Yakovleva, A. M. Rostom, V. A. Tomilin, L. V. Il'ichev, “Quantum geometric phase under pre- and post-selection”, Kvantovaya Elektronika, 49:5 (2019), 439–442 [Quantum Electron., 49:5 (2019), 439–442]

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  • http://mi.mathnet.ru/eng/qe17050
  • http://mi.mathnet.ru/eng/qe/v49/i5/p439

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Quantum Electron., 50:6 (2020), 595–599  mathnet  crossref  isi  elib
  • Квантовая электроника Quantum Electronics
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