Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation

TL;DR

This paper investigates how bond dissipation influences the relaxation time in boundary-dissipative quantum systems, revealing it can significantly reduce relaxation times and alter their scaling behavior by targeting specific states and disrupting localization.

Contribution

It demonstrates that bond dissipation can modify relaxation time scaling and disrupt localization, offering a new way to control relaxation dynamics in open quantum systems.

Findings

Bond dissipation changes relaxation time scaling from $z=3$ to less than 3.

Bond dissipation can target specific states to reduce relaxation time.

In Anderson localized systems, relaxation time shifts from exponential to power-law scaling.

Abstract

Relaxation time plays a crucial role in describing the relaxation processes of quantum systems. We study the effect of a type of bond dissipation on the relaxation time of boundary dissipative systems and find that it can change the scaling of the relaxation time $T_c\sim L^{z}$ from $z=3$ to a value significantly less than $3$. We further reveal that the reason such bond dissipation can significantly reduce the relaxation time is that it can selectively target specific states. For Anderson localized systems, the scaling behavior of the relaxation time changes from an exponential form to a power-law form as the system size varies. This is because the bond dissipation we consider can not only select specific states but also disrupt the localization properties. Our work reveals that in open systems, one type of dissipation can be used to regulate the effects produced by another type of dissipation.