Numerical Computation of Dynamically Important Excited States of Many-Body Systems

TL;DR

This paper extends the t-DMRG/TEBD algorithm to compute important excited states in one-dimensional many-body systems, enabling better analysis of their dynamical properties and excitations, especially in ultracold atom experiments.

Contribution

The authors develop an extension of t-DMRG/TEBD for calculating excited states, enhancing the analysis of dynamical behaviors in many-body quantum systems.

Findings

Successfully applied to Bose-Hubbard model

Provides insights into nonadiabaticity in experiments

Enables analysis of excitations in optical lattices

Abstract

We present an extension of the time-dependent Density Matrix Renormalization Group (t-DMRG), also known as Time Evolving Block Decimation algorithm (TEBD), allowing for the computation of dynamically important excited states of one-dimensional many-body systems. We show its practical use for analyzing the dynamical properties and excitations of the Bose-Hubbard model describing ultracold atoms loaded in an optical lattice from a Bose-Einstein condensate. This allows for a deeper understanding of nonadiabaticity in experimental realizations of insulating phases.