What is kubo formula?

The Kubo formula is a mathematical expression that describes the response of a system to an external perturbation. It is named after Japanese physicist Ryogo Kubo and was first proposed in 1957. The formula relates the response of a system to a perturbation, such as an electric field or a magnetic field, to the fluctuations in that system.

The Kubo formula is widely used in condensed matter physics, where it is used to calculate various transport coefficients, such as conductivity and thermal conductivity. It is also used in the study of quantum mechanics and quantum field theory, where it is used to calculate correlation functions.

The formula involves a correlation function, which measures the mutual dependence of two observables at different points in time. The expression also includes a factor that characterizes the strength of the coupling between the system and the external perturbation.

The Kubo formula is an important tool in understanding the behavior of complex systems, particularly those that exhibit non-equilibrium phenomena, such as phase transitions and critical phenomena. It has also been used in the study of quantum information and quantum computing.