Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model

TL;DR

This paper investigates the non-equilibrium dynamics of a one-dimensional ionic-mass imbalanced Hubbard chain after a quantum quench, revealing how quenching protocols influence spin and charge order evolution and effective temperature.

Contribution

It introduces a detailed analysis of quench dynamics in the ionic-mass imbalanced Hubbard model using the Lanczos method, extending understanding of non-equilibrium behavior in such systems.

Findings

Charge and spin order parameters' evolution depends on quenching time protocols.

Effective temperature decreases monotonically with longer quenching times.

Oscillation frequencies of order parameters vary monotonically with Coulomb interaction.

Abstract

Using the time-dependent Lanczos method, we study the non-equilibrium dynamics of the one-dimensional ionic-mass imbalanced Hubbard chain driven by a quantum quench of the on-site Coulomb interaction, where the system is prepared in the ground state of the Hamiltonian with a different Hubbard interaction. A full exact diagonalization is adopted to study the zero temperature phase diagram in equilibrium, which is shown to be in good agreement with previous studies using density matrix renormalization group (DMRG). We then study the non-equilibrium quench dynamics of the spin and charge order parameters by fixing the initial and final Coulomb interaction while changing the quenching time protocols. The Lanczos method allows us to reach longer times following the quench than DMRG. Our study shows that the time evolution of the charge and spin order parameters strongly depend on the quenching time protocols. In particular, the effective temperature of the system will decrease monotonically as the quenching time is increased. Finally, by taking the final Coulomb interaction strength to be in the strong coupling regime, we find that the oscillation frequency of the charge order parameter increases monotonically with the Coulomb interaction. By contrast, the frequency of the spin order parameter decreases monotonically with increasing Coulomb interaction. We explain this result using an effective spin model in the strong coupling limit. Our study suggests strategies to engineer the relaxation behavior of interacting quantum many-particle systems.