Tracking quantum state evolution by the Berry curvature with a two-level system

Zhang, Ze-Lin; Xu, Ping; Yang, Zhen‐Biao

doi:10.1140/epjp/s13360-021-01258-6

Cited by 1 publication

(2 citation statements)

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“…[11] Recently, the related explorations through such a nonadiabatic response method have been extended to the system's temporal evolution, showing that the change of the Berry curvature provides a potential signature for tracking system's quantum states. [17][18][19] All the above mentioned studies are based on the discrete two-level systems. [10,11,[15][16][17][18][19] One question may arise whether such cases can also be applied to those of the continuous variable systems.…”

Section: Introductionmentioning

confidence: 99%

“…[17][18][19] All the above mentioned studies are based on the discrete two-level systems. [10,11,[15][16][17][18][19] One question may arise whether such cases can also be applied to those of the continuous variable systems. [20][21][22] In this study, we address this question by exploiting the two-photon-driven KNR subjected to a single-photon modulation as a paradigm.…”

Section: Introductionmentioning

confidence: 99%

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Scheme for Measuring Topological Transitions in a Continuous Variable System

et al. 2023

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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.

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