Fermi-edge singularity in chiral one-dimensional systems far from equilibrium

Abstract

We study the effects of strong coupling of a localized state charge to one-dimensional electronic channels out of equilibrium. While the state of this charge and the coupling strengths determine the scattering phase shifts in the channels, the nonequilibrium partitioning noise induces the tunneling transitions to the localized state. The strong coupling leads to a nonperturbative backaction effect which is manifested in the orthogonality catastrophe and the Fermi-edge singularity in the transition rates. We predict an unusually pronounced manifestation of the non-Gaussian component of noise that breaks the charge symmetry, resulting in a nontrivial shape, and a shift of the position of the tunneling resonance.

Threshold effects in one-dimensional strongly interacting nonequilibrium systems

“…i . Our findings are consistent with those of the papers [7,8], where the transition rates are evaluated for arbitrary tunneling, so that the singular behaviour at the thresholds acquires the natural cut-off at energies of the order of µ times the small transparency of the source QPC.…”

“…High-order tunneling processes at the source QPC smear out the singularities at energies of the order of T µ at zero temperature. [6][7][8][9] Our main goal, however, is to find universal exponents κ in different physical situations, which justifies our perturbative approach.…”

“…According to the paper [8], the bosonization technique allows to treat the interaction term H int exactly. One can perform a unitary transformation that removes this term at the cost of the modification of the energy of the QD level → ε and of the transformation of the tunneling Hamiltonian H T →H T :…”

“…For both of these systems, we reproduce earlier found results, obtained with the nonperturbative methods. 6,8 Finally, we evaluate the TDOS in non-equilibrium LLs and in fractional QH systems. 11,13…”

Prethermalization and thermalization of a quenched interacting Luttinger liquid

“…In this representation, the functional F contains only quantum fields [84][85][86] and, since it contains the information on the initial state, is uniquely determined by the complete set of irreducible correlation functions at t = 0. In the present case, we consider an initial state, which is a thermal state corresponding to the prequench Hamiltonian and therefore the initial correlations correspond to thermal correlations, which, according to the Dzyaloshinkii-Larkin theorem [84], are only of quadratic order.…”