Topological transition in measurement-induced geometric phases

Gebhart, V. and Snizhko, K. and Wellens, T. and Buchleitner, A. and Romito, A. and 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). pp. 5706-5713. ISSN 0027-8424

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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.

Item Type:
Journal Article
Journal or Publication Title:
Proceedings of the National Academy of Sciences of the United States of America
Additional Information:
Copyright © 2020 National Academy of Sciences
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1000
Subjects:
ID Code:
142720
Deposited By:
Deposited On:
09 Apr 2020 15:45
Refereed?:
Yes
Published?:
Published
Last Modified:
22 Sep 2020 04:57