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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.9: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Many-Body Localization in the Hartree-Fock Approximation — •Paul Pöpperl¹, Elmer Doggen², Konstantin Tikhonov², Igor Gornyi^1,2, and Alexander Mirlin^1,2 — ¹Institut für Theorie der kondensierten Materie, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany — ²Institute of Nanotechnology, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany

We investigate the quench dynamics of a spinless disordered Fermi-Hubbard model in the Hartree-Fock (HF) approximation. The one- dimensional model is expected to show a transition to a many-body localized (MBL) phase with increasing disorder at a fixed interaction strength. Surprisingly, the simple HF approximation qualitatively captures the MBL phenomenology [1]. We compare results from the HF approach to exact calculations and results obtained by the time-dependent variational principle (TDVP) [2] in order to illuminate the benefits and limitations of the HF approach.
   [1] Weidinger, Simon et al (2018).
     Self-consistent Hartree-Fock approach to many-body
     localization.
     Physical Review B. 98. 10.1103/PhysRevB.98.224205.
   [2] Doggen, Elmer V. H. et al (2018).
     Many-body localization and delocalization in large
     quantum chains.
     Physical Review B. 98. 10.1103/PhysRevB.98.174202.