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Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase damping and amplitude damping noise channels

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Abstract

In this work, we studied the relaxation dynamics of coherences of different orders present in a system of two coupled nuclear spins. We used a previously designed model for intrinsic noise present in such systems which considers the Lindblad master equation for Markovian relaxation. We experimentally created zero-, single- and double-quantum coherences in several two-spin systems and performed a complete state tomography and computed state fidelity. We experimentally measured the decay of zero- and double-quantum coherences in these systems. The experimental data fitted well to a model that considers the main noise channels to be a correlated phase damping (CPD) channel acting simultaneously on both spins in conjunction with a generalised amplitude damping channel acting independently on both spins. The differential relaxation of multiple-quantum coherences can be ascribed to the action of a CPD channel acting simultaneously on both the spins.

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Acknowledgements

All experiments were performed on a Bruker Avance-III 600 MHz FT-NMR spectrometer at the NMR Research Facility at IISER Mohali.

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Authors and Affiliations

  1. Department of Physical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81 Knowledge City, P.O. Manauli, Mohali,  140 306, India

    Harpreet Singh,  Arvind & Kavita Dorai

  2. Fakultät Physik, Technische Universität Dortmund, 44221,  Dortmund, Germany

    Harpreet Singh

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  1. Harpreet Singh
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  2. Arvind
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  3. Kavita Dorai
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Correspondence to Kavita Dorai.

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Singh, H., Arvind & Dorai, K. Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase damping and amplitude damping noise channels. Pramana - J Phys 94, 160 (2020). https://doi.org/10.1007/s12043-020-02027-3

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  • DOI: https://doi.org/10.1007/s12043-020-02027-3

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