Time-dependent versus static quantum transport simulations beyond linear response

Time-Dependent Statistical Mechanics 13. Quantum theory of linear response

Effective temperatures in driven systems: static versus time-dependent relations.

Using simulations of glassy systems under steady-state shear, we compare effective temperatures obtained from static linear response with those from time-dependent fluctuation-dissipation relations. Although these two definitions are not expected to agree, we show that they yield the same answer over two and a half decades of effective temperature. This suggests that a more complete conceptual ...

Quantum response to time-dependent external field

Recently, explicit real time dynamics has been studied in various systems. These quantum mechanical dynamics could provide new recipes in information processing. Here, we study quantum dynamics under time dependent external field. In particular, we compare the thermal and quantum fluctuation in the transverse Ising model. Moreover we study other types of quantum fluctuations, e.g. effects of th...

Quantum response to time-dependent external fields

Recently, explicit real time dynamics has been studied in various systems. These quantum mechanical dynamics could provide new recipes in information processing. We study quantum dynamics under time dependent external fields, and explore how to control the quantum state, and also how to bring the state into a target state. Here, we investigate a pure quantum mechanical dynamics, dynamics in qua...

Time Evolution in Linear Response : Boltzmann Equations and Beyond

In this work a perturbative linear response analysis is performed for the time evolution of the " quasi-conserved " charge of a scalar field. One can find two regimes, one follows exponential damping, where the damping rate is shown to come from quantum Boltzmann equations. The other regime (coming from multiparticle cuts and products of them) decays as power law. The most important, non-oscill...