Non-Markovian Quantum Trajectories of Many-Body Quantum Open Systems

TL;DR

This paper derives exact time-local quantum state diffusion equations for multi-qubit open systems, enabling efficient simulation of their quantum dynamics and coherence properties in non-Markovian environments.

Contribution

It provides the first explicit construction of non-Markovian QSD equations for N-qubit systems, advancing the simulation of many-body open quantum systems.

Findings

Successfully derived exact time-local QSD equations for N-qubit systems

Enabled numerical simulation of quantum coherence dynamics in many-body systems

Demonstrated applicability through examples involving quantum control

Abstract

A long-standing open problem in non-Markovian quantum state diffusion (QSD) approach to open quantum systems is to establish the non-Markovian QSD equations for multiple qubit systems. In this paper, we settle this important question by explicitly constructing a set of exact time-local QSD equations for $N$-qubit systems. Our exact time-local (convolutionless) QSD equations have paved the way towards simulating quantum dynamics of many-body open systems interacting with a common bosonic environment. The applicability of this multiple-qubit stochastic equation is exemplified by numerically solving several quantum open many-body systems concerning quantum coherence dynamics and dynamical control.