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This summary is machine-generated.

We extend chaos-assisted tunneling to periodic lattices, creating quantum systems with long-range hopping. This enables new quantum simulations for condensed matter models.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum simulation

Background:

  • Chaos-assisted tunneling is a mechanism that enhances particle transport in quantum systems.
  • Spatially periodic lattice systems are fundamental in condensed matter physics and quantum simulation.

Purpose of the Study:

  • To extend the chaos-assisted tunneling mechanism to spatially periodic lattice systems.
  • To investigate the emergence of long-range hoppings in driven lattice systems.
  • To provide a framework for realizing novel condensed matter models in quantum simulations.

Main Methods:

  • Applying an intermediate modulation regime to drive lattice systems.
  • Mapping the driven systems onto tight-binding Hamiltonians.
  • Numerical demonstration of the robustness of the phenomenon.
  • Analytical derivation of the hopping term law.

Main Results:

  • The driven lattice systems map onto tight-binding Hamiltonians.
  • Chaos-induced long-range hoppings t_{n}∝1/n emerge between distant sites (n).
  • The results are numerically robust.
  • An analytical prediction for the hopping term law is derived.

Conclusions:

  • The extended chaos-assisted tunneling mechanism provides a novel route to engineer long-range hoppings in quantum systems.
  • These engineered systems can be used to enlarge the scope of quantum simulations.
  • Experimental realization of long-range condensed matter models becomes more accessible.