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

Macieszczak, Katarzyna; Zhou, YanLi; Hofferberth, Sebastian; Garrahan, Juan P.; Li, Weibin; Lesanovsky, Igor

Authors

Katarzyna Macieszczak Katarzyna.Macieszczak@nottingham.ac.uk

YanLi Zhou ylzhou@nudt.edu.cn

Sebastian Hofferberth hofferberth@sdu.dk

Juan P. Garrahan juan.garrahan@nottingham.ac.uk

Weibin Li Weibin.Li@nottingham.ac.uk

Igor Lesanovsky igor.lesanovsky@nottingham.ac.uk



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.

Journal Article Type Article
Publication Date Oct 26, 2017
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 4
Article Number 043860
APA6 Citation Macieszczak, K., Zhou, Y., Hofferberth, S., Garrahan, J. P., Li, W., & Lesanovsky, I. (2017). Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems. Physical Review A, 96(4), doi:10.1103/PhysRevA.96.043860
DOI https://doi.org/10.1103/PhysRevA.96.043860
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.043860
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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