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 ${T}_{c}\ensuremath{\sim}{L}^{z}$ 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 can 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.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 ${T}_{c}\ensuremath{\sim}{L}^{z}$ 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 can 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.

arXiv:2406.04183Physical review. B./Physical review. BSep 12, 20247 citations

Dissipative Two-State System

Subhashish Banerjee

Texts and readings in physical sciencesJan 1, 20181 citation

Dissipation induced localization-delocalization transition in flat band systems

Mingdi Xu, Zijun Wei, Xiang-Ping Jiang +1 more

The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced extended-localized transition in a flat-band model, where the system's asymptotic state can be controlled by tailored dissipative operators. By analyzing the steady-state density matrix and dissipative dynamics, we demonstrate that dissipation is able to drive the system to states dominated by either extended or localized modes, irrespective of the initial conditions. The control mechanism relies on the phase properties of the dissipative operators, which selectively favor specific Hamiltonian eigenstates. Our findings reveal that dissipation can be harnessed to induce transitions between extended and localized phases, offering a novel approach to manipulate quantum transport in flat-band systems. This work not only deepens our understanding of dissipation-induced phenomena in flat-band systems but also provides a new avenue for controlling quantum states in open systems.The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced extended-localized transition in a flat-band model, where the system's asymptotic state can be controlled by tailored dissipative operators. By analyzing the steady-state density matrix and dissipative dynamics, we demonstrate that dissipation is able to drive the system to states dominated by either extended or localized modes, irrespective of the initial conditions. The control mechanism relies on the phase properties of the dissipative operators, which selectively favor specific Hamiltonian eigenstates. Our findings reveal that dissipation can be harnessed to induce transitions between extended and localized phases, offering a novel approach to manipulate quantum transport in flat-band systems. This work not only deepens our understanding of dissipation-induced phenomena in flat-band systems but also provides a new avenue for controlling quantum states in open systems.

iScienceDec 1, 20251 citation

Dissipative Two-State Systems

Sushanta Dattagupta, Sanjay Puri

Springer series in materials scienceJan 1, 20040 citations

Dissipation-free modes in dissipative systems

Daan van Seters, Tim Ludwig, H. Y. Yuan +1 more

Abstract The coupling between a system and its environment (or bath) always leads to dissipation. We show, however, that a system composed of two subsystems can have a dissipation-free mode, if the bath is shared between the two subsystems. Reading in reverse, a shared bath does not contribute to the dissipation of all modes. As a key example, we consider a simple model for a two-sublattice antiferromagnet, where the environment is modeled by a bath that is shared between the two sublattice magnetizations. In our model, we find that the Néel order parameter is a dissipation-free mode. For antiferromagnets, our results offer an explanation for why the dissipation rate of the Néel vector is typically much lower than that of the average magnetization. In general, our results suggest a way to reduce dissipation (and decoherence) for some modes in composite systems, which could have experimental and technological applications.Abstract The coupling between a system and its environment (or bath) always leads to dissipation. We show, however, that a system composed of two subsystems can have a dissipation-free mode, if the bath is shared between the two subsystems. Reading in reverse, a shared bath does not contribute to the dissipation of all modes. As a key example, we consider a simple model for a two-sublattice antiferromagnet, where the environment is modeled by a bath that is shared between the two sublattice magnetizations. In our model, we find that the Néel order parameter is a dissipation-free mode. For antiferromagnets, our results offer an explanation for why the dissipation rate of the Néel vector is typically much lower than that of the average magnetization. In general, our results suggest a way to reduce dissipation (and decoherence) for some modes in composite systems, which could have experimental and technological applications.

arXiv:2206.07471Physica ScriptaJun 14, 20241 citation

THE DISSIPATIVE TWO-STATE SYSTEM

WORLD SCIENTIFIC eBooksMar 1, 20120 citations

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 can 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.