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This study investigates heating in periodically driven quantum systems. Resonant driving can lead to stable states, revealing conditions that cause heating in quantum systems.

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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.