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Critical phenomena and nonlinear dynamics in a spin ensemble strongly coupled to a cavity. I. Semiclassical approach

2019/03/31 by Dmitry O. Krimer, Matthias Zens, Stefan Rotter · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #nlin.CD #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physreva.100.013855

published as Phys. Rev. A 100, 013855 (2019) · 11 pages, 6 figures

arxiv created 2019/08/03 · arxiv updated 2019/08/06

Abstract

We present a theoretical study on the nonlinear dynamics and stationary states of an inhomogeneously broadened spin ensemble coupled to a single-mode cavity driven by an external drive with constant amplitude. Assuming a sizeable number of constituents within the ensemble allows us to use a semiclassical approach and to formally reduce the theoretical description to the Maxwell-Bloch equations for the cavity and spin amplitudes. We explore the critical slowing-down effect, quench dynamics, and asymptotic behavior of the system near a steady-state dissipative phase transition accompanied by a bistability effect. Some of our theoretical findings have recently been successfully verified in a specific experimental realization based on a spin ensemble of negatively charged nitrogen-vacancy centers in diamond strongly coupled to a single-mode microwave cavity (see Science Adv. 3, e1701626 (2017)).

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