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 towards thermal equilibrium after an initial perturbation. The relaxation process involves the reorganisation 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 exact 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
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).
Abstract
Quantum systems in contact with a thermal environment experience coherent and incoherent dynamics. These drive the system back towards thermal equilibrium after an initial perturbation. The relaxation process involves the reorganisation 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 exact 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
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: 08 Oct 2020 16:31
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Author:
Christian Bengs
University divisions
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