Effect of non adiabatic switching of dynamic perturbations in one-dimensional Fermi systems

CARLOS M. NAÓN, MARIANO J. SALVAY, MARTA L. TROBO

PHYSICAL REVIEW B - CONDENSED MATTER AND MATERIALS PHYSICS

APS

Lugar: Nueva York; Año: 2004 vol. 70 p. 195109 - 195113

0163-1829

We study a two dimensional (2D) fermionic quantum-field-theoretical model used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic barrier switched on at a finite time. We compute the total energy density of the system and establish two well defined regimes in terms of the relationship between the frequency of the time-dependent perturbation $Omega$ and the electron energy $omega$. Finally, we derive a relaxation time $t_R$ such that for times shorter than $t_R$ the finite-time switching process is relevant.