Floquet-Engineering Counterdiabatic Protocols in Quantum Many-Body Systems.

Area of Science:

• Quantum mechanics
• Quantum control
• Many-body physics

Background:

• Counterdiabatic (CD) driving aims to achieve adiabatic dynamics at accelerated speeds.
• The theoretical CD term, derived from the adiabatic gauge potential, is challenging to implement in many-body systems due to spectral and control complexities.

Purpose of the Study:

• To develop a systematic and practical method for constructing the counterdiabatic driving term.
• To demonstrate the feasibility of implementing these protocols using tools from periodically driven (Floquet) systems.
• To show the effectiveness of the proposed method in suppressing dissipation and increasing fidelity in quantum systems.

Main Methods:

• Approximating the gauge potential using a series of nested commutators, ensuring thermodynamic limit validity.
• Utilizing periodically driven (Floquet) systems to realize CD driving protocols up to arbitrary orders.
• Applying the developed protocols to few- and many-body quantum systems.

Main Results:

• A systematic construction of an approximate gauge potential is presented, well-defined in the thermodynamic limit.
• Floquet protocols are shown to realize CD driving without requiring control beyond available space.
• Significant suppression of dissipation and a drastic increase in quantum system fidelity are observed.

Conclusions:

• The proposed method offers a viable route to implement counterdiabatic driving in complex quantum systems.
• Floquet engineering provides a powerful tool for realizing advanced quantum control protocols.
• This approach significantly enhances the performance and robustness of quantum dynamics.