Dynamics of the collective modes of an inhomogeneous spin ensemble in a cavity

Abstract

We study the excitation dynamics of an inhomogeneously broadened spin ensemble coupled to a single cavity mode. The collective excitations of the spin ensemble can be described in terms of generalized spin waves and, in the absence of the cavity, the free evolution of the spin ensemble can be described as a drift in the wave number without dispersion. In this article we show that the dynamics in the presence of coupling to the cavity mode can be described solely by a modified time evolution of the wave numbers. In particular, we show that collective excitations with a well- defined wave number pass without dispersion from negative to positive valued wave numbers without populating the zero wave number spin wave mode. The results are relevant for multi-mode collective quantum memories where qubits are encoded in different spin waves.

Published version. Some small changes and corrections

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• Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity
• Optimizing inhomogeneous spin ensembles for quantum memory
• Dynamics of mesoscopic qubit ensemble coupled to cavity: role of collective dark states
• Exact solution for the inhomogeneous Dicke model in the canonical ensemble: thermodynamical limit and finite-size corrections
• Perspective on witnessing entanglement in hybrid quantum systems
• Generalized Collective Lamb Shift