An Exact Solution for Quantum Tunneling in a Dissipative System

1996/05/10 by Li Hua Yu, Yu, Li Hua
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum optics and atomic interactions #Semiconductor Lasers and Optical Devices #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9605081

The reference 2 is changed to Phys. Lett. from Phys. Rev. Lett

arxiv created 1996/05/16 · arxiv updated 2009/11/30

Abstract

Applying a technique developed recently [1,2] for an harmonic oscillator coupled to a bath of harmonic oscillators, we present an exact solution for the tunneling problem in an Ohmic dissipative system with inverted harmonic potential. The result shows that while the dissipation tends to suppress the tunneling, the Brownian motion tends to enhance the tunneling. Whether the tunneling rate increases or not would then depend on the initial conditions. We give a specific formula to calculate the tunneling probability determined by various parameters and the initial conditions.

Related

• Dissipation and Tunneling in Quantum Hall Bilayers
• Quantum tunneling with dissipation in smoothly joined parabolic potential
• Dissipative Quantum Tunneling from Quantum Potential Approach -- Back Reaction of Particle Creation --
• A quantum effect in the classical limit: nonequilibrium tunneling in the Duffing oscillator
• Transmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top