Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems

In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes and the coupling with the environment characterised by the frequency and the relaxation rate vectors affect dynamics of the entanglement. We discuss how the revivals of entanglement can be induced by the dynamic coupling between the different modes. For the system, initially prepared in a two-mode squeezed state, we find the logarithmic negativity as defined by the magnitude and orientation of the frequency and the relaxation rate vectors. We show that, in the regime of finite-time disentanglement, reorientation of the relaxation rate vector may significantly increase the time of disentanglement.

Automated summary

This paper investigates the thermal bath Lindblad master equation to describe the nonunitary dynamics of quantum states in a multi-mode bosonic system, and analyzes how the coupling between modes and with the environment affect entanglement dynamics. It discusses how entanglement revivals can be induced by dynamic coupling between different modes, and shows that reorientation of the relaxation rate vector can significantly increase the time of disentanglement in the regime of finite-time disentanglement.