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
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AN - SCOPUS:3843139546
VL - 62
SP - 2543
EP - 2546
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 21
ER -