Tunneling rate fluctuations induced by nonlinear resonances: A quantitative treatment based on semiclassical arguments

Description:

This article discusses tunneling rate fluctuations induced by nonlinear resonances. The authors investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime.

Creator(s):
Creation Date: November 1998
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 40
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Creator (Author):
Bonci, Luca

University of North Texas

Creator (Author):
Farusi, Andrea

Universit√° di Pisa

Creator (Author):
Grigolini, Paolo

University of North Texas; Universit√° di Pisa; Istituto di Biofisica

Creator (Author):
Roncaglia, Roberto

Institute of Electronic Structure and Laser

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: November 1998
Description:

This article discusses tunneling rate fluctuations induced by nonlinear resonances. The authors investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime.

Degree:
Department: Physics
Note:

Copyright 1998 American Physical Society. The following article appeared in Physical Review E, 58:5, pp. 5689-5692; http://pre.aps.org/abstract/PRE/v58/i5/p5689_1

Note:

Abstract: We investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. We show that when the tunneling doublet is quantized over a classical nonlinear resonance the tunneling rate strongly deviates from the semiclassical prediction. This mechanism is responsible for the irregular dependence of the tunneling rate on the system parameters. The weak-chaos condition allows us to make a theoretical prediction that agrees very well with the numerical results. This opens up a possible avenue to a general theory on the dependence of quantum tunneling on classical chaos.

Physical Description:

4 p.

Language(s):
Subject(s):
Keyword(s): tunneling | classical chaos | nonlinear resonance
Source: Physical Review E, 1998, College Park: American Physical Society, pp. 5689-5692
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.58.5689 |
  • ARK: ark:/67531/metadc77120
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 58
Issue: 5
Page Start: 5689
Page End: 5692
Peer Reviewed: Yes