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

Quantum Gases 2013-05-30 v2 Atomic Physics Quantum Physics

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.

Keywords

Cite

@article{arxiv.1106.4906,
  title  = {Numerical Computation of Dynamically Important Excited States of Many-Body Systems},
  author = {Mateusz Lacki and Dominique Delande and Jakub Zakrzewski},
  journal= {arXiv preprint arXiv:1106.4906},
  year   = {2013}
}

Comments

Expanded version (12pp. 13 figures)