Dresden 2020 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: Many-body Systems: Equilibration, Chaos and Localization I (joint session DY/TT)

TT 9.12: Talk

Monday, March 16, 2020, 13:00–13:15, HÜL 186

Density dynamics in the mass-imbalanced Hubbard model — •Tjark Heitmann, Jonas Richter, and Robin Steinigeweg — Physics Department, University of Osnabrück, Germany

We consider two mutually interacting particle species on a onedimensional lattice and study how the mass ratio between the two species affects the (equilibration) dynamics of the particles. While initial nonequilibrium density distributions are known to decay for equal masses (by diffusion [1]), the lighter particles localize in an effective disorder potential when the heavy particles become infinitely heavy and thus immobile. Knowing that, what behavior can we expect in the case of intermediate mass-imbalance ratios [2,3]? To investigate this question, we prepare pure initial states featuring a sharp nonequilibrium density profile and study their real-time dynamics which, by means of dynamical quantum typicality, can be related to equilibrium correlation functions. We observe that anomalous diffusion impedes localization as soon as the heavy particles become mobile.

[1] R. Steinigeweg et al., Phys. Rev. E 96, 020105(R) (2017).

[2] N. Y. Yao et al., Phys. Rev. Lett. 117, 240601 (2016).

[3] J. Sirker, Phys. Rev. B 99, 075162 (2019).