Quantum non-stationary phenomena of spin systems in collision models

TL;DR

This paper explores non-stationary phenomena in spin systems within collision models, revealing long-time oscillations, synchronization, and potential violations of thermodynamic principles in non-Markovian dynamics.

Contribution

It introduces a detailed analysis of non-stationary effects in spin collision models, linking CM and master equations, and uncovers mechanisms for stable oscillations and thermodynamic anomalies.

Findings

Long-time oscillations and synchronization in spin systems

Connection between collision models and quantum master equations

Potential violation of Landauer's principle in non-Markovian dynamics

Abstract

We investigate the non-stationary phenomenon in a tripartite spin-1/2 system in the collision model (CM) framework. After introducing the dissipation through the system-environment collision for both Markovian and non-Markovian cases, we find the emergence of long-time oscillation in the dynamics of the system and the synchronization among subsystems. We connect the CM description and the quantum master equation in the continuous time limit and explain the existence of the stable oscillation by means of Liouvillian spectrum analysis. The time-dependence of the thermal property and the correlations are investigated, in particular we discuss the possibility of violation of the Landauer's principle in non-Markovian dynamics. In addition, we find that the imperfection of collective dissipation can be compensated by the randomness of the interaction sequence in our CM.