Nonlinear effects on charge fractionalization in critical chains

We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time evolution splits the signal into at least three distinct fract...

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Bibliographic Details
Published inarXiv.org
Main Authors Ramos, Flávia B, Pereira, Rodrigo G, Eggert, Sebastian, Schneider, Imke
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.06.2024
Subjects
Dynamic response
Interaction parameters
Nonlinearity
Quantum wires
Response functions
Wave packets
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Summary:We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time evolution splits the signal into at least three distinct fractional charges moving with different velocities. A fractional left-moving charge is expected from conventional Luttinger liquid theory, but for the prediction of the two separate right-moving packets the nonlinearity of the dispersion must also be taken into account. This out-of-equilibrium protocol therefore allows a direct measurement of nonlinear interaction parameters, which also govern threshold singularities of dynamic response functions. The nonlinear Luttinger Liquid theory also predicts the correct dynamics at low energies, where it agrees with the conventional Luttinger liquid. Moreover, at high energies, the wave packet dynamics reveals signatures of composite excitations containing two-particle bound states. Our results uncover a simple strategy to probe the nonlinear regime in time-resolved experiments in quantum wires and ultracold-atom platforms.
ISSN:2331-8422