Starts 12 Nov 2024 11:30
Ends 12 Nov 2024 12:30
Central European Time
CMSP Seminar (Joint ICTP/SISSA Statistical Physics): Nonlinear Effects on Charge Fractionalization in Critical Chains
Aula D (ex-SISSA building) and via Zoom
Rodrigo G. Pereira
(International Institute of Physics - UFRN)
Abstract:
The propagation of wave packets with unit charge provides valuable information about the dispersion relation of elementary particles. In strongly correlated systems that exhibit charge fractionalization, one expects a single wave packet to split into multiple humps that carry fractional charges. In this talk I will discuss the time evolution in a critical fermionic chain starting from an initial state where a Gaussian wave packet is prepared with arbitrary momentum, not restricted to the low-energy limit. I will show that the dynamics is well described by nonlinear Luttinger liquid theory, and the fractional charges observed in real time provide a direct measurement of interaction parameters that govern various threshold singularities of dynamic response functions in the frequency domain. Moreover, at high energies, the evolution of a wave packet with unit charge reveals signatures of composite excitations containing two-particle bound states. Our work paves the way for precision tests of nonlinear Luttinger liquid effects in time-resolved experiments in quantum wires and ultracold-atom platforms.
The propagation of wave packets with unit charge provides valuable information about the dispersion relation of elementary particles. In strongly correlated systems that exhibit charge fractionalization, one expects a single wave packet to split into multiple humps that carry fractional charges. In this talk I will discuss the time evolution in a critical fermionic chain starting from an initial state where a Gaussian wave packet is prepared with arbitrary momentum, not restricted to the low-energy limit. I will show that the dynamics is well described by nonlinear Luttinger liquid theory, and the fractional charges observed in real time provide a direct measurement of interaction parameters that govern various threshold singularities of dynamic response functions in the frequency domain. Moreover, at high energies, the evolution of a wave packet with unit charge reveals signatures of composite excitations containing two-particle bound states. Our work paves the way for precision tests of nonlinear Luttinger liquid effects in time-resolved experiments in quantum wires and ultracold-atom platforms.