From Spinon Band Topology to the Symmetry Quantum Numbers of Monopoles in Dirac Spin Liquids

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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Decay of resonant states and determination of their quantum numbers

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0101.197008c.0655 ◽

1970 ◽

Vol 101 (8) ◽

pp. 655-696 ◽

Cited By ~ 1

Author(s):

M.S. Dubovikov ◽

Yurii A. Simonov

Keyword(s):

Quantum Numbers ◽

Resonant States

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Space-Group Approach to the Wavefunction of a Cooper Pair: Nodal Structure and Additional Quantum Numbers for Sr2RuO4 and UPt3

International Journal of Advanced Applied Physics Research ◽

10.15379/2408-977x.2016.05 ◽

2016 ◽

Vol Special (1) ◽

pp. 48-56 ◽

Cited By ~ 2

Author(s):

V.G. Yarzhemsky ◽

Keyword(s):

Cooper Pair ◽

Group Approach ◽

Nodal Structure ◽

Space Group ◽

Quantum Numbers

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Temperature Dependences in the O + OH → O2 + H Reaction. Quasiclassical Trajectory Calculation

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19930234 ◽

1993 ◽

Vol 58 (2) ◽

pp. 234-243 ◽

Cited By ~ 4

Author(s):

Viliam Klimo ◽

Martina Bittererová ◽

Stanislav Biskupič ◽

Ján Urban ◽

Miroslav Micov

Keyword(s):

Temperature Dependence ◽

Energy Surface ◽

Analytical Form ◽

Mean Values ◽

Quantum Numbers ◽

Mean Lifetime ◽

Temperature Dependences ◽

Quasiclassical Trajectory Calculation ◽

The Mean ◽

Combustion Processes

The reaction O + OH → O2 + H in conditions of combustion of hydrocarbons and polymers was modelled by using the method of quasiclassical trajectories. The potential energy surface was determined by the multiconfiguration interaction method and fitted with the analytical form of the extended LEPS function. Attention was paid to the mean values of the vibrational and rotational quantum numbers of O2 molecules and their temperature dependence. The temperature dependence of the mean lifetime of the OOH collision complex was also examined. The calculated rate constants were analyzed and compared with the experimental data over the temperature region of the combustion processes.

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Quantum Theory

10.1093/oso/9780198808275.003.0009 ◽

2017 ◽

Author(s):

Frank S. Levin

Keyword(s):

Quantum Mechanics ◽

Quantum Theory ◽

Uncertainty Principle ◽

Quantum Spin ◽

Quantum States ◽

Wave Functions ◽

Symbolic Representations ◽

Quantum Numbers ◽

The Subject ◽

Heisenberg's Uncertainty Principle

The subject of Chapter 8 is the fundamental principles of quantum theory, the abstract extension of quantum mechanics. Two of the entities explored are kets and operators, with kets being representations of quantum states as well as a source of wave functions. The quantum box and quantum spin kets are specified, as are the quantum numbers that identify them. Operators are introduced and defined in part as the symbolic representations of observable quantities such as position, momentum and quantum spin. Eigenvalues and eigenkets are defined and discussed, with the former identified as the possible outcomes of a measurement. Bras, the counterpart to kets, are introduced as the means of forming probability amplitudes from kets. Products of operators are examined, as is their role underpinning Heisenberg’s Uncertainty Principle. A variety of symbol manipulations are presented. How measurements are believed to collapse linear superpositions to one term of the sum is explored.

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Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids

Nature Communications ◽

10.1038/s41467-021-21495-8 ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

Oliver Hart ◽

Yuan Wan ◽

Claudio Castelnovo

Keyword(s):

Transport Properties ◽

Realistic Model ◽

Feedback Mechanism ◽

Quantum Spin ◽

Spin Liquid ◽

Spin Liquids ◽

Slow Dynamics ◽

Temperature Dependent ◽

Quantum Spin Liquids ◽

Quantum Spin Liquid

AbstractRealistic model Hamiltonians for quantum spin liquids frequently exhibit a large separation of energy scales between their elementary excitations. At intermediate, experimentally relevant temperatures, some excitations are sparse and hop coherently, whereas others are thermally incoherent and dense. Here, we study the interplay of two such species of quasiparticle, dubbed spinons and visons, which are subject to nontrivial mutual statistics – one of the hallmarks of quantum spin liquid behaviour. Our results for $${{\mathbb{Z}}}_{2}$$ Z 2 quantum spin liquids show an intriguing feedback mechanism, akin to the Nagaoka effect, whereby spinons become localised on temperature-dependent patches of expelled visons. This phenomenon has important consequences for the thermodynamic and transport properties of the system, as well as for its response to quenches in temperature. We argue that these effects can be measured in experiments and may provide viable avenues for obtaining signatures of quantum spin liquid behaviour.

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