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

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Original languageEnglish
Article number241106
JournalPhysical Review B
Volume92
Issue number24
Publication statusPublished - 9 Dec 2015

Abstract

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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Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium. / Brockt, C.; Dorfner, F.; Vidmar, L. et al.
In: Physical Review B, Vol. 92, No. 24, 241106, 09.12.2015.

Research output: Contribution to journalArticleResearchpeer review

Brockt C, Dorfner F, Vidmar L, Heidrich-Meisner F, Jeckelmann E. Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium. Physical Review B. 2015 Dec 9;92(24):241106. doi: 10.1103/physrevb.92.241106
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AU - Jeckelmann, E.

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