TY - JOUR

T1 - Time of Zener tunneling

AU - Mullen, Kieran

AU - Ben-Jacob, Eshel

AU - Gefen, Yuval

AU - Schuss, Zeev

PY - 1989

Y1 - 1989

N2 - The time of Zener tunneling, z, is calculated for a general two-level quantum-mechanical system by two methods. In the first we determine the width of the transition profile in time. In the second we apply an oscillating perturbation and examine how the final transition probability depends upon the perturbation frequency and phase. Both methods show, given that the coupling energy between the diabatic levels is and the time rate of change of the energy is, that in the adiabatic limit z scales as and in the sudden limit z scales as (Latin small letter h with stroke/)1/2. We calculate the approximate transition probability at finite times for the two limits. The results can be applied to specific mesoscopic electronic systems.

AB - The time of Zener tunneling, z, is calculated for a general two-level quantum-mechanical system by two methods. In the first we determine the width of the transition profile in time. In the second we apply an oscillating perturbation and examine how the final transition probability depends upon the perturbation frequency and phase. Both methods show, given that the coupling energy between the diabatic levels is and the time rate of change of the energy is, that in the adiabatic limit z scales as and in the sudden limit z scales as (Latin small letter h with stroke/)1/2. We calculate the approximate transition probability at finite times for the two limits. The results can be applied to specific mesoscopic electronic systems.

UR - http://www.scopus.com/inward/record.url?scp=3843139546&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.62.2543

DO - 10.1103/PhysRevLett.62.2543

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:3843139546

VL - 62

SP - 2543

EP - 2546

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 21

ER -