Nonequilibrium propagation and decay of a bound pair in driven t-J models

TL;DR

This paper investigates how a bound hole pair in t-J models on ladder and square lattices responds to out-of-equilibrium conditions, revealing decay mechanisms linked to current and lattice topology.

Contribution

It provides a detailed numerical analysis of the decay dynamics of bound pairs in driven t-J systems, highlighting the role of dissipation mechanisms and lattice geometry.

Findings

Bound pairs decay with steady current onset when binding and dissipation mechanisms match.

Decay times are shorter on the square lattice due to perpendicular decay dynamics.

Lattice topology influences the decay process and timescale.

Abstract

We perform an accurate time-dependent numerical study of out-of-equilibrium response of a bound state within t-J systems on a two-leg ladder and a square lattice. We show that the bound hole pair decays with the onset of finite steady current if both mechanisms for binding and the dissipation share matching degrees of freedom. Moreover, by investigating the mechanism of decay on the square lattice we find that the dynamics is governed by the decay in the direction perpendicular to the electric field, leading to much shorter decay times in comparison to the ladder where such dynamics is topologically restricted.