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

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 dy...

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Main Authors: Macieszczak, Katarzyna, Zhou, YanLi, Hofferberth, Sebastian, Garrahan, Juan P., Li, Weibin, Lesanovsky, Igor
Format: Article
Published: American Physical Society 2017
Online Access:https://eprints.nottingham.ac.uk/47013/
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author Macieszczak, Katarzyna
Zhou, YanLi
Hofferberth, Sebastian
Garrahan, Juan P.
Li, Weibin
Lesanovsky, Igor
author_facet Macieszczak, Katarzyna
Zhou, YanLi
Hofferberth, Sebastian
Garrahan, Juan P.
Li, Weibin
Lesanovsky, Igor
author_sort Macieszczak, Katarzyna
building Nottingham Research Data Repository
collection Online Access
description 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.
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spelling nottingham-470132020-05-04T19:10:53Z https://eprints.nottingham.ac.uk/47013/ 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 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. American Physical Society 2017-10-04 Article PeerReviewed Macieszczak, Katarzyna, Zhou, YanLi, Hofferberth, Sebastian, Garrahan, Juan P., 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)
spellingShingle Macieszczak, Katarzyna
Zhou, YanLi
Hofferberth, Sebastian
Garrahan, Juan P.
Li, Weibin
Lesanovsky, Igor
Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title_full Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title_fullStr Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title_full_unstemmed Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title_short Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
title_sort metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
url https://eprints.nottingham.ac.uk/47013/