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Tunneling through a fluctuating barrier: two-level model

Iwaniszewski1

  • 1School of Physics and Chemistry, Lancaster University, United Kingdom. jan.iwaniszewski@phys.uni.torun.pl

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 14, 2000
PubMed
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We studied quantum tunneling with a fluctuating barrier and dissipation. We found that barrier fluctuations can suppress or enhance tunneling, depending on the switching rate and system detuning, revealing complex quantum dynamics.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Investigating quantum tunneling phenomena is crucial for understanding particle behavior in various physical systems.
  • Dissipation and random fluctuations significantly impact quantum dynamics, yet their interplay remains complex.
  • The two-level approximation provides a simplified yet effective model for studying such systems.

Purpose of the Study:

  • To analyze quantum tunneling across a randomly fluctuating barrier in a dissipative two-level system.
  • To explore the influence of barrier fluctuation dynamics, controlled by switching rate (nu), on tunneling probabilities.
  • To identify conditions leading to suppression or enhancement of coherent tunneling and resonant decay.

Main Methods:

Related Experiment Videos

  • Utilizing the two-level approximation to model the quantum system.
  • Introducing random telegraph noise to induce barrier fluctuations.
  • Controlling the system dynamics by varying the switching rate (nu) of the noise.
  • Analyzing the system's behavior in different regimes: infinitely fast, very small, and intermediate fluctuation rates.

    • Main Results:

    • For infinitely fast fluctuations, system dynamics resemble the static barrier case.
    • Very low switching rates (nu) lead to superposition of static solutions, causing resonant beating or periodic localization.
    • Intermediate switching rates exhibit a resonance-like suppression of coherent tunneling.
    • Detuning system levels results in resonant enhancement of decay in the incoherent regime.

    Conclusions:

    • Barrier fluctuation dynamics, governed by switching rate, critically determine quantum tunneling outcomes.
    • Coherent tunneling can be suppressed or enhanced, and localization effects emerge based on fluctuation characteristics.
    • The interplay of dissipation and fluctuating barriers leads to rich, non-intuitive quantum phenomena, including resonant decay.