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Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium

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arxiv 1508.00694 v2 pith:AK7RN22N submitted 2015-08-04 cond-mat.str-el

Christoph Brockt (1) , Florian Dorfner (2) , Lev Vidmar (2) , Fabian Heidrich-Meisner (2) , Eric Jeckelmann (1) ((1) Leibniz Universitaet Hannover , Germany , (2) LMU Munich , Germany) This is my paper · ORCID
classification cond-mat.str-el
keywords localmethodbasisdynamicaloptimizationscatteringsystemsalgorithm
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We present a method for simulating the time evolution of one-dimensional correlated electron-phonon systems which combines the time-evolving block decimation algorithm with a dynamical optimization of the local basis. This approach can reduce the computational cost by orders of magnitude when boson fluctuations are large. The method is demonstrated on the nonequilibrium Holstein polaron by comparison with exact simulations in a limited functional space and on the scattering of an electronic wave packet by local phonon modes. Our study of the scattering problem reveals a rich physics including transient self-trapping and dissipation.

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  1. Gaussian-augmented bosonic matrix-product states: theory and applications

    quant-ph 2026-07 conditional novelty 7.0 of 10

    GA-BMPS unify Gaussian states and finite-dimensional MPS in one ansatz with closed-form expectation values and exact parent Hamiltonians.

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