Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems

Details Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems

2004-06-11

arxiv.org/abs/cond-mat/0406267v2

Phys.Rev. B70 (2004) 195109

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 4 figures. Changed title. Added comments on backscattering. Added result for electrical current. Version accepted in

Scientific paper

10.1103/PhysRevB.70.195109

We study a two-dimensional fermionic QFT 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 (TED) 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.

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