Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

Area of Science:

• Quantum Control
• Quantum Information Processing
• Non-Hermitian Systems

Background:

• Shortcuts to adiabaticity (STA) are crucial for quantum control and information processing.
• Existing STA techniques primarily focus on Hermitian systems and the rotating-wave approximation (RWA).

Purpose of the Study:

• To develop a modified STA technique for population transfer in non-Hermitian systems.
• To perform population transfer without relying on the rotating-wave approximation (RWA).

Main Methods:

• Derived an exact control function for the modified STA technique.
• Applied the method to two- and three-level quantum systems with decay.
• Analyzed the system by reducing a three-level system to an effective two-level system.

Main Results:

• Demonstrated robust and fast population transfer in non-Hermitian systems.
• Showcased high-fidelity transfer even in the presence of decay.
• Confirmed the effectiveness of the STA technique without RWA.

Conclusions:

• The proposed modified STA technique effectively achieves high-fidelity population transfer in non-Hermitian systems.
• The method is robust for fast passages and effective even without the rotating-wave approximation.
• System decay has a minimal impact on population transfer in the studied three-level system.