Topological transitions of the generalized Pancharatnam-Berry phase

Fuente: arXiv
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Main Authors: Ferrer-Garcia, Manuel F., Snizhko, Kyrylo, D'Errico, Alessio, Romito, Alessandro, Gefen, Yuval, Karimi, Ebrahim
Format: Preprint
Published: 2022
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author Ferrer-Garcia, Manuel F.
Snizhko, Kyrylo
D'Errico, Alessio
Romito, Alessandro
Gefen, Yuval
Karimi, Ebrahim
author_facet Ferrer-Garcia, Manuel F.
Snizhko, Kyrylo
D'Errico, Alessio
Romito, Alessandro
Gefen, Yuval
Karimi, Ebrahim
contents Distinct from the dynamical phase, in a cyclic evolution, a system's state may acquire an additional component, a.k.a. geometric phase. The latter is a manifestation of a closed path in state space. Geometric phases underlie various physical phenomena, notably the emergence of topological invariants of many-body states. Recently it has been demonstrated that geometric phases can be induced by a sequence of generalized measurements implemented on a single qubit. Furthermore, it has been predicted that such geometric phases may exhibit a topological transition as function of the measurement strength. Here, we demonstrate and study this transition experimentally employing an optical platform. We show the robustness to certain generalizations of the original protocol, as well as to certain types of imperfections. Our protocol can be interpreted in terms of environment-induced geometric phases.
format Preprint
id arxiv_https___arxiv_org_abs_2211_08519
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Topological transitions of the generalized Pancharatnam-Berry phase
Ferrer-Garcia, Manuel F.
Snizhko, Kyrylo
D'Errico, Alessio
Romito, Alessandro
Gefen, Yuval
Karimi, Ebrahim
Quantum Physics
Mesoscale and Nanoscale Physics
Optics
Distinct from the dynamical phase, in a cyclic evolution, a system's state may acquire an additional component, a.k.a. geometric phase. The latter is a manifestation of a closed path in state space. Geometric phases underlie various physical phenomena, notably the emergence of topological invariants of many-body states. Recently it has been demonstrated that geometric phases can be induced by a sequence of generalized measurements implemented on a single qubit. Furthermore, it has been predicted that such geometric phases may exhibit a topological transition as function of the measurement strength. Here, we demonstrate and study this transition experimentally employing an optical platform. We show the robustness to certain generalizations of the original protocol, as well as to certain types of imperfections. Our protocol can be interpreted in terms of environment-induced geometric phases.
title Topological transitions of the generalized Pancharatnam-Berry phase
topic Quantum Physics
Mesoscale and Nanoscale Physics
Optics
url https://arxiv.org/abs/2211.08519