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Rotational-permutational dual-pairing and long-lived spin order

Rotational-permutational dual-pairing and long-lived spin order
Rotational-permutational dual-pairing and long-lived spin order

Quantum systems in contact with a thermal environment experience coherent and incoherent dynamics. These drive the system back toward thermal equilibrium after an initial perturbation. The relaxation process involves the reorganization of spin state populations and the decay of spin state coherences. In general, individual populations and coherences may exhibit different relaxation time constants. Particular spin configurations may exhibit exceptionally long relaxation time constants. Such spin configurations are known as long-lived spin order. The existence of long-lived spin order is a direct consequence of the symmetries of the system. For nuclear spin systems, rotational and permutational symmetries are of fundamental importance. Based on the Schur-Weyl duality theorem, we describe a theoretical framework for the study of rotational and permutational dual-symmetries in the context of long-lived spin order. Making use of the proposed formalism, we derive refined bounds on the number on long-lived spin populations and coherences for systems exhibiting rotational-permutational dual-symmetries.

Group theory, long-lived spin states, nuclear magnetic resonance, relaxation theory
0021-9606
Bengs, Christian
6d086f95-d3e8-4adc-86a5-6b255aee4dd1
Bengs, Christian
6d086f95-d3e8-4adc-86a5-6b255aee4dd1

Bengs, Christian (2020) Rotational-permutational dual-pairing and long-lived spin order. The Journal of Chemical Physics, 152 (5), [054106]. (doi:10.1063/1.5140186).

Record type: Article

Abstract

Quantum systems in contact with a thermal environment experience coherent and incoherent dynamics. These drive the system back toward thermal equilibrium after an initial perturbation. The relaxation process involves the reorganization of spin state populations and the decay of spin state coherences. In general, individual populations and coherences may exhibit different relaxation time constants. Particular spin configurations may exhibit exceptionally long relaxation time constants. Such spin configurations are known as long-lived spin order. The existence of long-lived spin order is a direct consequence of the symmetries of the system. For nuclear spin systems, rotational and permutational symmetries are of fundamental importance. Based on the Schur-Weyl duality theorem, we describe a theoretical framework for the study of rotational and permutational dual-symmetries in the context of long-lived spin order. Making use of the proposed formalism, we derive refined bounds on the number on long-lived spin populations and coherences for systems exhibiting rotational-permutational dual-symmetries.

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Accepted/In Press date: 20 December 2019
e-pub ahead of print date: 4 February 2020
Published date: 7 February 2020
Additional Information: Funding Information: The author is greatly indebted to Malcolm H. Levitt for continuous support and guidance. Discussions with Giuseppe Pileio, Gabriele Stevanato, and David Goodwin are kindly appreciated. This research was supported by the European Research Council (Grant No. 786707-FunMagResBeacons) and the Engineering and Physical Sciences Research Council (EPSRC-UK) (Grant No. EP/P009980/1). Publisher Copyright: © 2020 Author(s).
Keywords: Group theory, long-lived spin states, nuclear magnetic resonance, relaxation theory

Identifiers

Local EPrints ID: 437163
URI: http://eprints.soton.ac.uk/id/eprint/437163
ISSN: 0021-9606
PURE UUID: 991eb0c0-963d-44b7-9ef3-977f0fcb1521

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Date deposited: 20 Jan 2020 17:32
Last modified: 12 Aug 2022 21:15

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Author: Christian Bengs

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