Transport and nonequilibrium dynamics in 1d many-body systems with bosonic degrees of freedom

by Jan Felix Stolpp
Doctoral thesis
Date of Examination:2021-03-12
Date of issue:2021-12-03
Advisor:Prof. Dr. Fabian Heidrich-Meisner
Referee:Prof. Dr. Fabian Heidrich-Meisner
Referee:Prof. Dr. Eric Jeckelmann
Persistent Address: http://dx.doi.org/10.53846/goediss-8867

 

 

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Abstract

English

In this thesis, different wave-function based numerical methods are used to study many-body systems with bosonic degrees of freedom in 1d. The main focus is on the Holstein model of spinless fermions, where ground-state phases, nonequilibrium dynamics, and thermalization are investigated. Using matrix-product-state methods for the investigation of such models with electron-phonon coupling poses special numerical challenges. Local basis optimization, projected purification, and subspace expansion are used to overcome these challenges.
Keywords: Theoretical physics; Solid-state physics; Many-body systems; DMRG; MPS; Local basis optimization; Holstein model; Electron-phonon coupling
 
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