Numerical Computation of Dynamically Important Excited States of Many-Body Systems
arXiv:1106.4906 · doi:10.1103/PhysRevA.86.013602
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.
Expanded version (12pp. 13 figures)
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- Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
- Time dynamics with matrix product states: Many-body localization transition of large systems revisited
- Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
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- Dynamics of heat and mass transport in a quantum insulator