SciPost Submission Page

Time Dependent Variational Principle for Tree Tensor Networks

by Daniel Bauernfeind, Markus Aichhorn

Submission summary

As Contributors: Daniel Bauernfeind
Arxiv Link: https://arxiv.org/abs/1908.03090v2
Date submitted: 2019-09-10
Submitted by: Bauernfeind, Daniel
Submitted to: SciPost Physics
Domain(s): Computational
Subject area: Quantum Physics

Abstract

We present a generalization of the Time Dependent Variational Principle (TDVP) to any finite sized loop-free tensor network. The major advantage of TDVP is that it can be employed as long as a representation of the Hamiltonian in the same tensor network structure that encodes the state is available. Often, such a representation can be found also for long-range terms in the Hamiltonian. As an application we use TDVP for the Fork Tensor Product States tensor network for multi-orbital Anderson impurity models. We demonstrate that TDVP allows to account for off-diagonal hybridizations in the bath which are relevant when spin-orbit coupling effects are important, or when distortions of the crystal lattice are present.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1908.03090v2 on 10 September 2019

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