Abstract
Dynamics of a wave function in a non-symmetrically split (spatially asymmetric) doublewell potential is considered. We study the dependence of the probability of well-to-well transitions on the degree of spatial asymmetry of well sizes and show that the quantum tunneling between the wells is significantly suppressed by this asymmetry. Practically complete suppression occurs at five-ten percent asymmetry. This is close to the threshold of sensitivity of contemporary experimental schemes for creating two-well potentials. We predict the phenomenon of resonance in quantum tunneling of considered states. We have also shown that an incoherently prepared superposition state tunnels in a double-well potential almost in the same way as a perfectly coherent state.
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Original Russian Text © G.A. Muradyan, A.Zh. Muradyan, 2009, published in Izvestiya NAN Armenii, Fizika, 2009, Vol. 44, No. 1, pp. 10–22.
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Muradyan, G.A., Muradyan, A.Z. Dynamics of a cold quantum gas in a δ-split one-dimensional potential well. J. Contemp. Phys. 44, 6–13 (2009). https://doi.org/10.3103/S1068337209010022
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DOI: https://doi.org/10.3103/S1068337209010022