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Quantum resonant activation.

Luca Magazzù1, Peter Hänggi1,2,3,4, Bernardo Spagnolo5,6,7

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Quantum resonant activation in spin-boson systems shows a minimum mean first passage time when modulation and system dynamics timescales match. This phenomenon is observed under fluctuating or periodic driving fields.

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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • Investigating quantum resonant activation in driven two-state systems is crucial for understanding complex quantum dynamics.
  • The spin-boson model serves as a fundamental archetype for studying quantum systems interacting with their environment.

Purpose of the Study:

  • To investigate quantum resonant activation in a driven two-state (spin-boson) system under strong dissipation.
  • To analyze the emergence of resonant activation with fluctuating or periodic driving fields.
  • To characterize the mean first passage time and its dependence on system parameters.

Main Methods:

  • Analytical calculations
  • Extensive numerical simulations
  • First passage time analysis
  • Probability density function (pdf) analysis

Main Results:

  • Resonant activation emerges when the intrinsic time scale of modulation matches the system dynamics time scale.
  • A characteristic minimum in mean first passage time is observed in the incoherent regime.
  • Periodic driving leads to a complex, multipeaked first passage time pdf dependent on initial phase, frequency, and driving strength.
  • A critical frequency for resonant activation shows weak dependence on driving strength.

Conclusions:

  • The study elucidates the conditions and characteristics of quantum resonant activation in driven dissipative systems.
  • The findings provide insights into the relationship between system dynamics, driving fields, and first passage time statistics.
  • The research contributes to the understanding of non-equilibrium quantum phenomena and their control.