Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems

Macieszczak, Katarzyna and Zhou, YanLi and Hofferberth, Sebastian and Garrahan, Juan P. and Li, Weibin and Lesanovsky, Igor (2017) Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems. Physical Review A . ISSN 2469-9934 (In Press)

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Abstract

We investigate the dynamics of a generic interacting many-body system under conditions of electromagnetically induced transparency (EIT). This problem is of current relevance due to its connection to non-linear optical media realized by Rydberg atoms. In an interacting system the structure of the dynamics and the approach to the stationary state becomes far more complex than in the case of conventional EIT. In particular, we discuss the emergence of a metastable decoherence free subspace, whose dimension for a single Rydberg excitation grows linearly in the number of atoms. On approach to stationarity this leads to a slow dynamics which renders the typical assumption of fast relaxation invalid. We derive analytically the effective non-equilibrium dynamics in the decoherence free subspace which features coherent and dissipative two-body interactions. We discuss the use of this scenario for the preparation of collective entangled dark states and the realization of general unitary dynamics within the spin-wave subspace.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Depositing User: Macieszczak, Katarzyna
Date Deposited: 05 Oct 2017 10:32
Last Modified: 13 Oct 2017 08:44
URI: http://eprints.nottingham.ac.uk/id/eprint/47013

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