Resonances in a periodically driven bosonic system

Area of Science:

• Quantum physics
• Condensed matter physics

Background:

• Periodically driven systems are crucial in modern physics, especially in optical lattices.
• Heating is a significant concern in driven systems due to energy non-conservation.
• Previous studies focused on single-band systems, leaving broader contexts unexplored.

Purpose of the Study:

• To investigate heating dynamics in a noninteracting quantum system with unbounded energy levels.
• To analyze the effect of resonant periodic driving on system heating.
• To identify conditions under which resonant driving causes heating.

Main Methods:

• Studied a noninteracting model with discrete, unbounded energy levels.
• Coupled energy levels resonantly using a periodic drive.
• Analyzed heating dynamics as a function of the driving protocol.

Main Results:

• Demonstrated that resonant driving can create stable states.
• Showed that stimulated emission and absorption play a key role in forming these states.
• Identified specific conditions leading to heating in the studied system.

Conclusions:

• Resonant driving in quantum systems can lead to the formation of stable states.
• The interplay of stimulated emission and absorption dictates heating behavior.
• Understanding these dynamics is crucial for controlling quantum systems under periodic driving.