Operator folding and matrix product states in linearly-coupled bosonic arrays

TL;DR

This paper introduces a protocol for representing boson states as matrix product states in linear systems, enabling efficient simulation and analysis of coupled bosonic arrays.

Contribution

The paper presents a novel, general protocol for obtaining matrix product state representations of bosonic states in linearly-coupled arrays, applicable regardless of coupling details.

Findings

Successfully simulated a reference model using the protocol

Demonstrated the method's applicability to various coupling configurations

Discussed potential variants and limitations of the protocol

Abstract

A protocol to obtain the matrix product state representation of a class of boson states is introduced. The proposal is presented in the context of linear systems and is tested by performing simulations of a reference model. The method can be applied regardless of the details of the coupling among modes and can be used to extract the most significant contribution of the tensorial representation. Characteristic issues as well as potential variants of the proposed protocol are discussed.