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The Correspondence Principle for Spin Systems: Simulations of Free Induction Decay with Classical and Quantum Spins

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Abstract

Problems of interacting quantum magnetic moments become exponentially complex with an increasing number of particles. As a result, classical equations are often used to model spin systems, and hence the validity of reduction of a quantum problem to a classical problem should be analyzed. To discuss the relationship between classical and quantum approaches, we consider the free induction decay of the transverse magnetization. We perform numerical simulations of the NMR signal in a system of classical spins coupled by dipolar interactions. We also do exact quantum mechanics calculations for 12 quantum spins ½ solving the corresponding Schrödinger equation.

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Acknowledgements

We are thankful to Dr. E. Henner and Dr. K. Tsiberkin for useful discussions.

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Authors and Affiliations

  1. Department of Physics, Perm State University, Perm, 614990, Russia

    V. Henner & T. Belozerova

  2. Department of Physics, University of Wisconsin - Madison, Madison, WI, 53706, USA

    A. Klots

  3. Department of Mathematics, Technion –Israel Institute of Technology, 32000, Haifa, Israel

    A. Nepomnyashchy

Authors
  1. V. Henner
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  2. A. Klots
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  3. A. Nepomnyashchy
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  4. T. Belozerova
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Correspondence to V. Henner.

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Henner, V., Klots, A., Nepomnyashchy, A. et al. The Correspondence Principle for Spin Systems: Simulations of Free Induction Decay with Classical and Quantum Spins. Appl Magn Reson 52, 859–866 (2021). https://doi.org/10.1007/s00723-021-01351-0

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  • DOI: https://doi.org/10.1007/s00723-021-01351-0

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