Coherent quench dynamics in the one-dimensional Fermi-Hubbard model

TL;DR

This paper demonstrates that coherent quench dynamics in the one-dimensional Fermi-Hubbard model can be used to accurately determine interaction strength from oscillation periods, considering residual tunneling effects.

Contribution

It shows that quench-induced oscillations in the Fermi-Hubbard model reveal interaction strength and residual tunneling effects, extending understanding of nonequilibrium dynamics in fermionic systems.

Findings

Oscillation period primarily determined by interaction strength.

Residual tunneling shortens the oscillation period.

Oscillations can be used to measure Hubbard interaction strength.

Abstract

Recently, it has been shown that the momentum distribution of a metallic state of fermionic atoms in a lattice Fermi-Bose mixture exhibits coherent oscillations after a global quench that suppresses tunneling. The oscillation period is determined by the Fermi-Bose interaction strength. Here we show that similar dynamics occurs in the fermionic Hubbard model when we quench a noninteracting metallic state by introducing a Hubbard interaction and suppressing tunneling. The period is determined primarily by the interaction strength. Conversely, we show that one can accurately determine the Hubbard interaction strength from the oscillation period, taking into account corrections from any small residual tunneling present in the final Hamiltonian. Such residual tunneling shortens the period and damps the oscillations, the latter being visible in the Fermi-Bose experiment.