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Counterdiabatic Driving for Periodically Driven Systems.

Paul M Schindler¹, Marin Bukov¹

¹<a href="https://ror.org/01bf9rw71">Max Planck Institute for the Physics of Complex Systems</a>, Nöthnitzer Straße 38, 01187 Dresden, Germany.

Physical Review Letters

|October 7, 2024

Summary

This summary is machine-generated.

This study introduces a new method for fast control of quantum systems using variational counterdiabatic driving in Floquet systems. It enables rapid manipulation of quantum states, overcoming limitations of current adiabatic techniques.

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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.