Freiburg 2024 – wissenschaftliches Programm

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MO: Fachverband Molekülphysik

MO 14: Atomic Clusters (joint session A/MO)

MO 14.8: Vortrag

Mittwoch, 13. März 2024, 16:15–16:30, HS 1015

Nonlinear effects in the charge fractionalization of critical chains — •Flávia Braga Ramos¹, Imke Schneider¹, Sebastian Eggert¹, and Rodrigo Pereira² — ¹University of Kaiserslautern-Landau, Kaiserslautern, Germany — ²International Institute of Physics, Natal, Brazil

Using the density matrix renormalization group we investigate how a single particle excitation is accommodated in a strongly correlated chain using an out-of-equilibrium protocol. By creating an initial Gaussian wave packet with fixed momentum, we are able to control the regime of energy excitations. Remarkably, the late-time dynamics of the wave packet comprises up to three descendent humps: two counter-propagating low-energy modes and an additional high-energy contribution, whose existence depends on the energy scale set in the initial state. We interpret this unconventional charge fractionalization in terms of the nonlinear Luttinger liquid theory which has attracted great theoretical interest in recent years. Our results provide a new perspective to observe the dynamics of critical chains in the whole range of energy excitations which could potentially be realized in ultracold atomic gases.

Keywords: charge fractionalization; critical chains; nonlinear luttinger liquid; out-of-equilibrium properties