Decoherence of many-body systems due to many-body interactions

TL;DR

This paper investigates how many-body interactions in a spin-gas model influence decoherence in quantum systems, analyzing the effects of different interaction types, correlations, and Markovian versus non-Markovian dynamics.

Contribution

It provides a detailed analysis of decoherence caused by many-body interactions and explores how environment coupling can be used to generate specific multipartite states.

Findings

Decoherence effects vary with the order of many-body interactions (k-body).

Correlations between baths influence decoherence dynamics.

Environmental coupling can be harnessed to create targeted multipartite states.

Abstract

We study a spin-gas model, where N_S system qubits are interacting with N_B bath qubits via many-body interactions. We consider multipartite Ising interactions and show how the effect of decoherence depends on the specific coupling between the system and its environment. For instance, we analyze the influence of decohenerce induced by k-body interactions for different values of k. Moreover, we study how the effect of decoherence depends on the correlation between baths that are coupled to different individual system qubit and compare Markovian with non-Markovian interactions. As examples we consider specific quantum many-body states and investigate their evolution under several different decoherence models. As a complementary investigation we study how the coupling to the environment can be employed to generate a desired multipartite state.