• Corpus ID: 117869150

A quantum effect in the classical limit: nonequilibrium tunneling in the Duffing oscillator

@article{Yeh2012AQE,
  title={A quantum effect in the classical limit: nonequilibrium tunneling in the Duffing oscillator},
  author={S. Yeh and Dong-Bang Tsai and Chenxi Huang and Md. Manirul Ali and Alec Maassen van den Brink},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={2012}
}
For suitable parameters, the classical Duffing oscillator has a known bistability in its stationary states, with low- and high-amplitude branches. As expected from the analogy with a particle in a double-well potential, transitions between these states become possible either at finite temperature, or in the quantum regime due to tunneling. In this analogy, besides local stability, one can also discuss global stability by comparing the two potential minima. For the Duffing oscillator, the… 

References

SHOWING 1-10 OF 10 REFERENCES

Quantum Dissipative Systems

Fundamentals Survey of the Various Approaches Path Integral Description of Open Quantum Systems Imaginary-Time and Real-Time Approaches Influence Functional Method Phenomenological and Microscopic

Lehrgang der höheren mathematik

Since Eq. (4) already describes O( ) corrections to harmonic oscillation, the difference between ω and ω0 matters only to higher order in

    In the non-hermitian case, there is no guarantee that a given matrix can be diagonalized at all

    • Linear Algebra
    • 1986

    Planck formulation was studied in an attempt to find a simplified expression for the-supposedly unique-crossover point. Our main nonuniqueness finding was serendipitous

      New J

      • Phys. 12, 083013
      • 2010

      For a very accessible introduction, see www.scholarpedia.org/article/Duffing oscillator

        Since both the driving force and thermal noise can excite the oscillator, numerics at T > 0 require even more photon states to ensure convergence

          However, exceptions are expected to be limited to isolated points in parameter space only