Tunnel Splitting in Asymmetric Double Well Potentials: An Improved WKB Calculation

2017/03/15 by Halataei, Seyyed M. H., Leggett, Anthony J. · 2 citations
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1703.05758

Abstract

We present an improved Wentzel-Kramers-Brillouin (WKB) calculation of tunnel splitting in one dimensional asymmetric double well potentials. We show that the tunnel splitting in general can have linear dependence on the bias energy, beside the well-known quadratic dependence. We demonstrate that the linear correction is greater than previously thought.

Cited by

• Ring-polymer instanton theory for tunneling between asymmetric wells
• Dynamical system analysis of quantum tunneling in an asymmetric double-well potential

Related

• WKB corrections to the energy splitting in double-well potentials
• Tunneling in asymmetric double well: instanton calculus
• WKB corrections to the energy splitting in double well potentials
• Double well ground state energy splitting (or instanton flipping rate); rendering the implicit explicit
• The Hartree functional in a double well