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    Rights statement: Copyright © 2020 National Academy of Sciences

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Topological transition in measurement-induced geometric phases

Research output: Contribution to journalJournal article

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Topological transition in measurement-induced geometric phases. / Gebhart, V.; Snizhko, K.; Wellens, T.; Buchleitner, A.; Romito, A.; Gefen, Y.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 117, No. 11, 17.03.2020, p. 5706-5713.

Research output: Contribution to journalJournal article

Harvard

Gebhart, V, Snizhko, K, Wellens, T, Buchleitner, A, Romito, A & Gefen, Y 2020, 'Topological transition in measurement-induced geometric phases', Proceedings of the National Academy of Sciences of the United States of America, vol. 117, no. 11, pp. 5706-5713. https://doi.org/10.1073/pnas.1911620117

APA

Gebhart, V., Snizhko, K., Wellens, T., Buchleitner, A., Romito, A., & Gefen, Y. (2020). Topological transition in measurement-induced geometric phases. Proceedings of the National Academy of Sciences of the United States of America, 117(11), 5706-5713. https://doi.org/10.1073/pnas.1911620117

Vancouver

Gebhart V, Snizhko K, Wellens T, Buchleitner A, Romito A, Gefen Y. Topological transition in measurement-induced geometric phases. Proceedings of the National Academy of Sciences of the United States of America. 2020 Mar 17;117(11):5706-5713. https://doi.org/10.1073/pnas.1911620117

Author

Gebhart, V. ; Snizhko, K. ; Wellens, T. ; Buchleitner, A. ; Romito, A. ; Gefen, Y. / Topological transition in measurement-induced geometric phases. In: Proceedings of the National Academy of Sciences of the United States of America. 2020 ; Vol. 117, No. 11. pp. 5706-5713.

Bibtex

@article{42fa968b01774ca6a1ecfa34ac360d6b,
title = "Topological transition in measurement-induced geometric phases",
abstract = "The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states-a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.",
keywords = "Berry phase, Quantum feedback, Quantum measurement, Quantum trajectories, Topological phases of matter, article, berry, probability, stochastic model",
author = "V. Gebhart and K. Snizhko and T. Wellens and A. Buchleitner and A. Romito and Y. Gefen",
note = "Copyright {\textcopyright} 2020 National Academy of Sciences",
year = "2020",
month = mar
day = "17",
doi = "10.1073/pnas.1911620117",
language = "English",
volume = "117",
pages = "5706--5713",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "National Academy of Sciences",
number = "11",

}

RIS

TY - JOUR

T1 - Topological transition in measurement-induced geometric phases

AU - Gebhart, V.

AU - Snizhko, K.

AU - Wellens, T.

AU - Buchleitner, A.

AU - Romito, A.

AU - Gefen, Y.

N1 - Copyright © 2020 National Academy of Sciences

PY - 2020/3/17

Y1 - 2020/3/17

N2 - The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states-a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.

AB - The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states-a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.

KW - Berry phase

KW - Quantum feedback

KW - Quantum measurement

KW - Quantum trajectories

KW - Topological phases of matter

KW - article

KW - berry

KW - probability

KW - stochastic model

U2 - 10.1073/pnas.1911620117

DO - 10.1073/pnas.1911620117

M3 - Journal article

C2 - 32123099

VL - 117

SP - 5706

EP - 5713

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

SN - 0027-8424

IS - 11

ER -