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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -