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

Abstract

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.

arXiv comment9 pages, 4 figures. Changed title. Added comments on backscattering. Added result for electrical current. Version accepted in PRB

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Cited by in corpus (6)

• The effect of time-dependent coupling on non-equilibrium steady states
• Quantum pump effect in one-dimensional systems of Dirac fermions
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Transient effects in the backscattered current of a Luttinger liquid
• Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
• Backscattering off a dynamical impurity in one-dimensional Fermi systems: A perturbative computation