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Driven Open Quantum Systems and Floquet Stroboscopic Dynamics.

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We developed an analytic solution for system-bath dynamics under high-frequency driving, enabling simulations of complex quantum systems without common approximations. This method uses discrete symmetries for accurate time evolution analysis.

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Area of Science:

  • Quantum Dynamics
  • Condensed Matter Physics
  • Theoretical Chemistry

Background:

  • System-bath interactions are crucial in many quantum phenomena.
  • High-frequency driving is a common technique to control quantum systems.
  • Standard methods often rely on weak-coupling or Markovian approximations.

Purpose of the Study:

  • To provide an analytic solution for system-bath dynamics under high-frequency driving.
  • To develop a simulation method applicable to driven-dissipative many-body systems.
  • To offer an interpretation of the dynamics via stroboscopic evolution.

Main Methods:

  • Utilizing discrete symmetries of the system-bath Hamiltonian.
  • Deriving the time evolution operator for the full system and bath.
  • Employing an effective static Hamiltonian for stroboscopic evolution.
  • Instantiating the method with the spin-boson model.

Main Results:

  • An exact analytic solution for system-bath dynamics under high-frequency driving.
  • A flexible simulation procedure for nontrivial Hamiltonians.
  • Analysis of dynamics for the spin-boson model with time-dependent tunneling.
  • Identification of stroboscopically accessible Hamiltonians.

Conclusions:

  • The developed method offers a powerful tool for studying complex quantum dynamics.
  • It overcomes limitations of weak-coupling and Markovian approximations.
  • The stroboscopic evolution provides new insights into system-bath interactions.