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Floquet Dynamics in Driven Fermi-Hubbard Systems.

Michael Messer1, Kilian Sandholzer1, Frederik Görg1

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|December 22, 2018
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Summary
This summary is machine-generated.

We explored the dynamics of a driven Fermi-Hubbard model in a hexagonal lattice. Our findings show the effective Hamiltonian is valid for extended periods, enabling long-duration system modulation with minimal atom loss.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Many-body systems

Background:

  • The Fermi-Hubbard model describes interacting fermions on a lattice.
  • Periodically driven (Floquet) systems offer unique quantum phenomena.
  • Hexagonal lattices present distinct geometric properties compared to simpler lattices.

Purpose of the Study:

  • Investigate the dynamics and timescales of a driven Fermi-Hubbard model in a 3D hexagonal lattice.
  • Analyze the validity of the effective Hamiltonian picture in driven systems.
  • Compare the modulation capabilities of hexagonal versus simple cubic lattices.

Main Methods:

  • Simulating the time evolution of the Floquet many-body state.
  • Analyzing double occupancy dynamics under near- and off-resonant driving.
  • Comparing system behavior in hexagonal and simple cubic lattice structures.

Main Results:

  • The effective Hamiltonian description remains valid over several orders of magnitude in modulation time.
  • Hexagonal lattices allow system modulation up to 1 second (hundreds of tunneling times) with minimal atom loss.
  • Driving near the interaction energy did not induce resonant atom loss.

Conclusions:

  • Periodically driven Fermi-Hubbard models in hexagonal lattices exhibit robust dynamics.
  • The effective Hamiltonian provides a valid framework for understanding these driven systems.
  • Hexagonal lattices offer advantages for long-duration quantum simulations compared to simple cubic lattices.