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Rostock 2019 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 31: Quantum gases (Fermions) (joint session A/Q)

A 31.4: Vortrag

Donnerstag, 14. März 2019, 14:45–15:00, S HS 1 Physik

Exact numerical simulations of periodically-driven one-dimensional extended Hubbard model — •Junichi Okamoto1, Michael Thoss1, and Shunske Sato21Institute of Physics, University of Freiburg, Freiburg, Germany — 2Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany

Periodically driven many-body systems offer a new route to realize novel model Hamiltonians via Floquet engineering. Notable examples in cold atom systems are: controlling topology of a band structure [1], creating artificial gauge fields [2], and changing tunneling rate [3]. Here, we study a periodically driven one-dimensional extended Hubbard model with an exact time-dependent Schrödinger equation solver. We find that the rapid oscillation of external fields suppresses the tunneling rate, which leads to a metal-insulator transition. We look at the order parameters and transient conductivity to characterize the transition, and show that these quantities do not necessarily correspond to each other as in the equilibrium situations. Further more, two different definitions of transient conductivity give slightly different results. We also show that such a dynamical transition can be well captured by a Floquet effective Hamiltonian when the driving frequency is large enough.

[1] M. Tarnowski et al., Phys. Rev. Lett. 118, 240403 (2017) [2] J. Struck et al., Nature Physics 9, 738 (2013) [3] C. Sias et al., Phys. Rev. Lett. 100, 040404 (2008)

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