Preprints
https://doi.org/10.5194/mr-2021-62
https://doi.org/10.5194/mr-2021-62

  23 Sep 2021

23 Sep 2021

Review status: a revised version of this preprint was accepted for the journal MR and is expected to appear here in due course.

Spin relaxation: under the sun, anything new?

Bogdan A. Rodin1,2,3 and Daniel Abergel1 Bogdan A. Rodin and Daniel Abergel
  • 1Laboratoire des biomolécules, LBM, Département de chimie, Ecole normale supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
  • 2International Tomography Center, Siberian Branch of the Russian Academy of Science, Novosibirsk 630090, Russia
  • 3Novosibirsk State University, Novosibirsk 630090, Russia

Abstract. Spin relaxation has been at the core of many studies since the early days of NMR, and the undelying theory worked out by its founding fathers. However, this theory has been recently questioned (Bengs and Levitt (2020)) in the light of Linblad theory of quantum Markovian master equations. In this article, we review the conventional approach of quantum mechanical theory of NMR relaxation and show that under the usual assumptions, it is equivalent to the Linblad formulation. We also comment on the debate over semi-classical versus quantum versions of spectral density functions involved in relaxation.

Bogdan A. Rodin and Daniel Abergel

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CC1: 'Comment on mr-2021-62', Tom Barbara, 23 Sep 2021
    • AC1: 'Reply on CC1', Daniel Abergel, 24 Sep 2021
      • CC13: 'Reply on AC1', Tom Barbara, 28 Sep 2021
  • CC2: 'Comment on mr-2021-62', Malcolm Levitt, 23 Sep 2021
    • CC3: 'Reply on CC2', Tom Barbara, 23 Sep 2021
      • CC5: 'Reply on CC3', Malcolm Levitt, 24 Sep 2021
      • CC6: 'Reply on CC3', Tom Barbara, 24 Sep 2021
        • CC11: 'Reply on CC6', Tom Barbara, 27 Sep 2021
    • AC2: 'Reply on CC2', Daniel Abergel, 24 Sep 2021
      • CC7: 'Reply on AC2', Malcolm Levitt, 24 Sep 2021
        • CC9: 'Reply on CC7', Malcolm Levitt, 25 Sep 2021
  • CC4: 'Comment on mr-2021-62', Tom Barbara, 23 Sep 2021
  • CC8: 'Comment on mr-2021-62', Tom Barbara, 24 Sep 2021
  • RC1: 'Comment on mr-2021-62', Christian Bengs, 26 Sep 2021
    • CC10: 'Reply on RC1', Tom Barbara, 27 Sep 2021
      • CC12: 'Reply on CC10', Tom Barbara, 27 Sep 2021
    • AC3: 'Reply on RC1', Daniel Abergel, 08 Nov 2021
  • CC14: 'Comment on mr-2021-62', Geoffrey Bodenhausen, 03 Oct 2021
    • CC15: 'Reply on CC14', Malcolm Levitt, 04 Oct 2021
  • CC16: 'Comment on mr-2021-62', Tom Barbara, 11 Oct 2021
  • RC2: 'Comment on mr-2021-62', Anonymous Referee #2, 11 Oct 2021
  • RC3: 'Comment on mr-2021-62', Alberto Rosso, 12 Oct 2021
    • CC17: 'Reply on RC3', Tom Barbara, 20 Oct 2021
    • AC5: 'Reply on RC3', Daniel Abergel, 08 Nov 2021

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CC1: 'Comment on mr-2021-62', Tom Barbara, 23 Sep 2021
    • AC1: 'Reply on CC1', Daniel Abergel, 24 Sep 2021
      • CC13: 'Reply on AC1', Tom Barbara, 28 Sep 2021
  • CC2: 'Comment on mr-2021-62', Malcolm Levitt, 23 Sep 2021
    • CC3: 'Reply on CC2', Tom Barbara, 23 Sep 2021
      • CC5: 'Reply on CC3', Malcolm Levitt, 24 Sep 2021
      • CC6: 'Reply on CC3', Tom Barbara, 24 Sep 2021
        • CC11: 'Reply on CC6', Tom Barbara, 27 Sep 2021
    • AC2: 'Reply on CC2', Daniel Abergel, 24 Sep 2021
      • CC7: 'Reply on AC2', Malcolm Levitt, 24 Sep 2021
        • CC9: 'Reply on CC7', Malcolm Levitt, 25 Sep 2021
  • CC4: 'Comment on mr-2021-62', Tom Barbara, 23 Sep 2021
  • CC8: 'Comment on mr-2021-62', Tom Barbara, 24 Sep 2021
  • RC1: 'Comment on mr-2021-62', Christian Bengs, 26 Sep 2021
    • CC10: 'Reply on RC1', Tom Barbara, 27 Sep 2021
      • CC12: 'Reply on CC10', Tom Barbara, 27 Sep 2021
    • AC3: 'Reply on RC1', Daniel Abergel, 08 Nov 2021
  • CC14: 'Comment on mr-2021-62', Geoffrey Bodenhausen, 03 Oct 2021
    • CC15: 'Reply on CC14', Malcolm Levitt, 04 Oct 2021
  • CC16: 'Comment on mr-2021-62', Tom Barbara, 11 Oct 2021
  • RC2: 'Comment on mr-2021-62', Anonymous Referee #2, 11 Oct 2021
  • RC3: 'Comment on mr-2021-62', Alberto Rosso, 12 Oct 2021
    • CC17: 'Reply on RC3', Tom Barbara, 20 Oct 2021
    • AC5: 'Reply on RC3', Daniel Abergel, 08 Nov 2021

Bogdan A. Rodin and Daniel Abergel

Bogdan A. Rodin and Daniel Abergel

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Short summary
This work provides some clarifications on the long known Redfield theory of spin relaxation, which considers a small system coupled to a large ensemble of particles in thermodynamic equilibrium. The derivation is rewritten so as to emphasize the usual assumptions and their consequences. In particular, the respective roles of the detailed balance balance assumption, as well as the non commutativity of the spin-bath coupling are discussed.