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Pecora LM, Lee H, Wu DH, et al. Chaos regularization of quantum tunneling rates. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;83(6):065201doi: 10.1103/PhysRevE.83.065201.
Pecora, L. M., Lee, H., Wu, D. H., Antonsen, T., Lee, M. J., & Ott, E. (2011). Chaos regularization of quantum tunneling rates. Physical review. E, Statistical, nonlinear, and soft matter physics, 83(6), 065201. https://doi.org/10.1103/PhysRevE.83.065201
Pecora, Louis M, et al. "Chaos regularization of quantum tunneling rates." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 83,6 (2011): 065201. doi: https://doi.org/10.1103/PhysRevE.83.065201
Pecora LM, Lee H, Wu DH, Antonsen T, Lee MJ, Ott E. Chaos regularization of quantum tunneling rates. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6):065201. doi: 10.1103/PhysRevE.83.065201. Epub 2011 Jun 13. PMID: 21797430.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6):065201. doi: 10.1103/PhysRevE.83.065201. Epub 2011 Jun 13.

Chaos regularization of quantum tunneling rates.

Physical review. E, Statistical, nonlinear, and soft matter physics

Louis M Pecora, Hoshik Lee, Dong-Ho Wu, Thomas Antonsen, Ming-Jer Lee, Edward Ott

Affiliations

  1. Materials Physics and Sensors, US Naval Research Laboratory, Washington, DC 20375, USA.

PMID: 21797430 DOI: 10.1103/PhysRevE.83.065201

Abstract

Quantum tunneling rates through a barrier separating two-dimensional, symmetric, double-well potentials are shown to depend on the classical dynamics of the billiard trajectories in each well and, hence, on the shape of the wells. For shapes that lead to regular (integrable) classical dynamics the tunneling rates fluctuate greatly with eigenenergies of the states sometimes by over two orders of magnitude. Contrarily, shapes that lead to completely chaotic trajectories lead to tunneling rates whose fluctuations are greatly reduced, a phenomenon we call regularization of tunneling rates. We show that a random-plane-wave theory of tunneling accounts for the mean tunneling rates and the small fluctuation variances for the chaotic systems.

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