Mode folding in systems with local interaction: unitary and non-unitary transformations using tensor states

TL;DR

This paper introduces a tensor state-based method called mode folding for simulating locally interacting quantum systems, offering an alternative to Trotter-Susuki expansion with promising accuracy and insights into quantum dynamics.

Contribution

It presents a novel mode folding approach for simulating quantum systems with local interactions, applicable to both unitary and non-unitary transformations.

Findings

Accurately simulates quantum evolution and ground states.

Provides insights into quantum precursors affecting measurements.

Offers a viable alternative to Trotter-Susuki expansion.

Abstract

An approach to the simulation of locally interacting systems is demonstrated and assayed. The proposal is built upon the concept of folding of bosonic modes previously introduced in the context of linear dynamics and can be seen as an alternative to Trotter-Susuki expansion in studies of quantum propagation based on tensor states. It is shown that evolution as well as ground state computations can be implemented and that test simulations deliver comparatively accurate results. The whole analysis provides insight into the way well-known quantum precursors affect mean values and fluctuations in realistic setups.