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arXiv · 2406.13047

Symplectic Representation of the Ginzburg-Landau Theory

E. A. Reis·G. X. A. Petronilo·R. G. G. Amorim·H. Belich·F. C. Khanna·A. E. Santana
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Abstract

In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function, i.e., a Wigner-type function. The starting point is the thermal group representation of Euclidean symmetries and gauge symmetry. Well-known basic results on the behavior of a superconductor are re-derived, providing the consistency of representation. The critical superconducting current density is determined and its usual behavior is inferred. The negativety factor associated with the quasi-distribution function is analyzed, providing information about the non-classicality nature of the superconductor state in the region closest to the edge of the superconducting material.

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E. A. Reis, G. X. A. Petronilo, R. G. G. Amorim, H. Belich, F. C. Khanna, A. E. Santana. 2024-06-18. Symplectic Representation of the Ginzburg-Landau Theory. https://arxiv.org/abs/2406.13047

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