Programme

O.42 -- Oral, VCTP-51

Date: Thursday, 6 August 2026

Time: 15:00 - 15:20

Ginzburg–Landau Dynamics in Dissipative Nonlinear Systems: Superconductors, PT-Symmetric Photonics, and Interfacial Bose–Einstein Condensates

Tran Ky Vi (1,4,5), Bui Duc Tinh (2), Ngo Quang Duc (2), Chu Gia Bao (2), Le Xuan The Tai (4,5), Nguyen Viet Hung (1), Pham Van Hai (2), Tran Phan Thuy Linh (2), Pham Duy Thanh (6)

(1) School of Materials Science and Engineering (SMSE), Hanoi University of Science and Technology (HUST), No. 1 Dai Co Viet Str., Hanoi, Vietnam; (2) Faculty of Physics, Hanoi National University of Education, 136 Xuan Thuy Str., Hanoi, Vietnam; (4) Atomic Molecular and Optical Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam; (5) Faculty of Applied Technology, Van Lang School of Technology, Van Lang University, Ho Chi Minh City, Vietnam; (6) Department of Physics, Hanoi Pedagogical University 2.

We present a unified theoretical report on nonlinear, nonequilibrium, and interfacial phenomena in modern quantum and photonic matter, viewed primarily through the perspective of Ginzburg–Landau-type field dynamics. The central focus is on two main directions: fluctuation-driven transport in low-dimensional superconductors and dissipative nonlinear dynamics in optical systems with gain and loss, including PT-symmetric photonic settings. For two-dimensional superconductors, we employ the time-dependent Ginzburg–Landau equation with Langevin thermal noise and a self-consistent Gaussian (Hartree) approximation to describe renormalized resistive transitions under perpendicular magnetic fields, intrinsic S-shaped nonlinear I-V characteristics under electric-field drive, and transverse thermoelectric response through the coefficient \alpha_{xy}. This framework provides a mesoscopic description of nonequilibrium superconducting fluctuations and their observable transport signatures in new-generation superconducting materials. For nonlinear photonics, we discuss variational and non-conservative variational approaches for open systems governed by nonlinear Schrödinger and Ginzburg–Landau-type equations. These methods yield reduced dynamical descriptions for dissipative solitons, vortex excitations, and PT-symmetric propagation regimes, highlighting the role of gain–loss balance and effective low-dimensional dynamics in non-Hermitian optical media. As an interfacial extension of this general nonlinear-field viewpoint, we also briefly address binary Bose–Einstein condensates near an optical wall, where wetting and prewetting phenomena can be analyzed analytically. Taken together, these directions illustrate how Ginzburg–Landau-type thinking provides a coherent language for transport, dissipation, pattern formation, and interface physics across superconducting, photonic, and ultracold-matter platforms.

Presenter: Tran Ky Vi