Quasi-classical and Quantum properties of the Mixmaster model

Magnetic properties of spin glass materials [9,13] are close to quantum interpretation in their nature description [17]. Therefore, we can look for possible kinds of analogies in process of defining theoretic and practice conventions, rules and applications of the specific characteristics in elaboration quantum calculation strategies. We have not investigated possibilities to create directly quantum calculation units and practice calculation structures like qubits, registers, gates etc. [4,18], but dealing with spin and quantum definitions and descriptions we can try to involve these notices from different domains. Such a pragmatic approach only intuitively gives chances to create the transition theory and implement it even partially. Obviously, almost all of us have heard about quantum factorization, cryptography or teleportation but it is obtained as a result of exploration casually selected quantum properties and adapting them to mathematic problems. In our approach, we carefully investigate involutions among spin and quantum nature looking at possible implementation in molecular network.

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QUANTUM PROPERTIES OF LIGHT IN THE SYSTEM OF TWO-MODE SQUEEZING VACUUM FIELD INTERACTING WITH TWO COUPLING-ATOMS

Acta Physica Sinica ◽

10.7498/aps.49.2159 ◽

2000 ◽

Vol 49 (11) ◽

pp. 2159

Author(s):

HUANG CHUN-JIA ◽

ZHOU MING ◽

LI JIANG-FAN ◽

KONG FAN-ZHI

Keyword(s):

Vacuum Field ◽

Quantum Properties

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Quantized toroidal dipole eigenvalues in nano-systems

Journal of Physics Conference Series ◽

10.1088/1742-6596/2090/1/012151 ◽

2021 ◽

Vol 2090 (1) ◽

pp. 012151

Author(s):

D. V. Anghel ◽

A. T. Preda

Keyword(s):

Parity Violation ◽

Nuclear Reactions ◽

General Procedure ◽

Quantum Systems ◽

Electromagnetic Structure ◽

New Class ◽

Quantum Properties ◽

Commuting Operators ◽

Dipole Operator ◽

Theoretical Considerations

Abstract The parity violation in nuclear reactions led to the discovery of the new class of toroidal multipoles. Since then, it was observed that toroidal multipoles are present in the electromagnetic structure of systems at all scales, from elementary particles, to solid state systems and metamaterials. The toroidal dipole T (the lowest order multipole) is the most common. This corresponds to the toroidal dipole operator T ^ in quantum systems, with the projections T ^ i (i = 1, 2, 3) on the coordinate axes. These operators are observables if they are self-adjoint, but, although it is commonly discussed of toroidal dipoles of both, classical and quantum systems, up to now no system has been identified in which the operators are self-adjoint. Therefore, in this paper we use what are called the “natural coordinates” of the T ^ 3 operator to give a general procedure to construct operators that commute with T ^ 3 . Using this method, we introduce the operators p ^ ( k ) , p ^ ( k 1 ) , and p ^ ( k 2 ) , which, together with T ^ 3 and L ^ 3 , form sets of commuting operators: ( p ^ ( k ) , T ^ 3 , L ^ 3 ) and ( p ^ ( k 1 ) , p ^ ( k 2 ) , T ^ 3 ) . All these theoretical considerations open up the possibility to design metamaterials that could exploit the quantization and the general quantum properties of the toroidal dipoles.

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