Quantification of memory effects in topological two-band open quantum systems
H. Triviño,
F. Mesa,
VA. Ballesteros
Affiliations
H. Triviño
Universidad de Antioquia, Facultad de Ciencias Exactas y Naturales, Grupo de Investigación en Física Teórica y Matemáticas Aplicadas, Calle 70 No. 52-21, Medellín, 050010, Antioquia, Colombia
F. Mesa
Fundación Universitaria Los Libertadores, Facultad de Ingeniería y Ciencias Básicas, NanoTech Group, Cra.16 No. 63a-68, Bogotá, 111221, Cundinamarca, Colombia; Corresponding author.
VA. Ballesteros
Fundación Universitaria Los Libertadores, Facultad de Ingeniería y Ciencias Básicas, NanoTech Group, Cra.16 No. 63a-68, Bogotá, 111221, Cundinamarca, Colombia
We incorporate non-Markovian profiles and Linear Response Theory to analyze memory effects in two-band topological quantum systems. Furthermore, we have applied a measure of non-Markovianity in terms of nonlinear optical spectroscopy. On the other hand, we resort to memory kernel, solve the integro-differential equation of the open two-band topological quantum system to describe the degrees of non-Markovianity, calculate response factors based on Linear Response Theory, and analyze non-Markovian dynamics by varying the parameters of the nonlinear spectroscopy environment of the respective open quantum system.