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Scheme for Measuring Topological Transitions in a Continuous Variable System

Scheme for Measuring Topological Transitions in a Continuous Variable System A scheme for measuring topological properties in a two‐photon‐driven Kerr‐nonlinear (KNR) resonator subjected to a single‐photon modulation is proposed. The topological properties are revealed through the observation of the Berry curvature and hence the first Chern number, as a nonadiabatic response of the physical observable to the change rate of the control parameter of the modulated drive. The parameter manifold, constructed from the system's Hamiltonian that determines its dynamics constrained in the state space spanned by the even and odd cat states as two basis states, is adjusted so that the degeneracy crossing the manifold indicates a topological transition. The scheme, with such continuous variable states in mesoscopic systems, provides a new perspective for exploration of the geometry and the related topology with complex systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advanced Quantum Technologies Wiley

Scheme for Measuring Topological Transitions in a Continuous Variable System

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References (28)

Publisher
Wiley
Copyright
© 2023 Wiley‐VCH GmbH
eISSN
2511-9044
DOI
10.1002/qute.202300068
Publisher site
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Abstract

A scheme for measuring topological properties in a two‐photon‐driven Kerr‐nonlinear (KNR) resonator subjected to a single‐photon modulation is proposed. The topological properties are revealed through the observation of the Berry curvature and hence the first Chern number, as a nonadiabatic response of the physical observable to the change rate of the control parameter of the modulated drive. The parameter manifold, constructed from the system's Hamiltonian that determines its dynamics constrained in the state space spanned by the even and odd cat states as two basis states, is adjusted so that the degeneracy crossing the manifold indicates a topological transition. The scheme, with such continuous variable states in mesoscopic systems, provides a new perspective for exploration of the geometry and the related topology with complex systems.

Journal

Advanced Quantum Technologies – Wiley

Published: Jun 1, 2023

Keywords: cat‐qubit; continuous variable systems; first Chern number

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