Arbitrary quantum state engineering in three-state systems via Counterdiabatic driving

Area of Science:

• Quantum physics
• Quantum information science
• Atomic, molecular, and optical physics

Background:

• Quantum state engineering (QSE) is crucial for quantum technologies.
• Controlling quantum systems, especially multi-level ones, presents significant challenges.

Purpose of the Study:

• To propose a novel scheme for arbitrary quantum state engineering in three-state systems.
• To explore and compare different driving protocols for efficient state preparation.

Main Methods:

• Utilizing counterdiabatic driving to derive a time-dependent Hamiltonian.
• Developing single-mode and multi-mode driving protocols for state preparation.
• Employing a polynomial ansatz to design practical control pulses.

Main Results:

• The proposed scheme enables guiding a quantum system to an arbitrary target state at a specific time.
• Multi-mode driving demonstrates broader applicability, allowing transitions between ground states without microwave fields.
• Designed control pulses are shown to be experimentally feasible.

Conclusions:

• The developed quantum state engineering scheme is a promising tool for controlling quantum systems.
• Multi-mode driving protocols offer enhanced flexibility and efficiency for arbitrary state preparation.
• The methodology is extendable to higher-dimensional quantum systems.