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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Russian-Armenian (Slavonic) University, Yerevan, Armenia
Subject:
Physics ; Quantum mechanics, field theories, and special relativity
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Abstract:
Within the framework of the mean-field Gross-Pitaevskii approximation, we investigate the transmission resonances in quantum above-barrier reflection of Bose-Einstein condensates by a symmetric rectangular double-barrier (double-well). We present a rigorous analysis of the problem based on an exact third order nonlinear differential equation written for the probability density. We show that in general the set of transmission resonances is split into two series of distinct nature. One subset of resonances occurs in the case when the single barrier itself supports a resonance. In this case, the separation distance between the two barriers does not play a role: the transmission is always resonant for any distance between the two involved barriers. Another subset corresponds to the case when the single barrier itself does not support resonance transmission. We show that in this case there exists an infinite set of periodically located separation distances between the two barriers that support complete transmission of the condensate across the double-barrier potential.