Time-dependent McMillan-Ginzburg-Landau models for light-induced ultrafast phase transitions in cuprates and other complex materials

Earlier we found that a very simple time-dependent Ginzburg-Landau model [1] described several features of the light-induced superconductivity in La_1.675Eu_0.2Sr_0.125CuO₄ (LESCO_1/8) discovered by Cavalleri and coworkers [2]. But for a more detailed description of complex materials -- cuprate and other high-temperature superconductors, layered transition-metal dichalcogenides, colossal magnetoresistive manganites, ... -- more detailed models are needed, which should properly be called McMillan-Ginzburg-Landau models [3]. The description of both static phase diagrams and ultrafast dynamics with such models will be discussed, with a few examples.
[1] M. Ross Tagaras, Jian Weng, and Roland E. Allen, in press, and presented at this conference.
[2] D. Fausti, R. I. Tobey, N. Dean, S. Kaiser, A. Dienst, M.C. Hoffmann, S. Pyon, T. Takayama, H. Takagi, A. Cavalleri, Science 331, 189 (2011).
[3] Chuan Chen, Lei Su, A. H. Castro Neto,and Vitor M. Pereira,arXiv:1806.08064 [cond-mat.mes-hall].