Counterdiabatic Driving for Periodically Driven Systems

Area of Science:

• Quantum physics
• Quantum simulation
• Condensed matter physics

Background:

• Periodically driven systems are key for quantum simulation.
• Manipulating states in strong periodic drives (Floquet systems) is challenging.
• Current adiabatic control methods are too slow for experiments.

Purpose of the Study:

• To develop fast control techniques for nonequilibrium quantum matter.
• To generalize variational counterdiabatic driving for Floquet systems.
• To enable transitionless driving of Floquet eigenstates.

Main Methods:

• Derived a nonperturbative variational principle.
• Approximated the adiabatic gauge potential for the effective Floquet Hamiltonian.
• Applied the technique to two-level, Floquet band, and interacting models.

Main Results:

• Enabled transitionless driving far from the adiabatic regime.
• Captured nonperturbative photon resonances.
• Achieved high-fidelity protocols respecting experimental constraints.

Conclusions:

• The developed technique offers fast and precise control for Floquet systems.
• It overcomes limitations of adiabatic driving in quantum simulations.
• Provides a powerful new tool for manipulating quantum matter.