Tunneling dynamics in exactly solvable models with triple-well potentials
| Autor: | V.P. Berezovoj, Alexei J. Nurmagambetov, M.I. Konchatnij |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
High Energy Physics - Theory
Condensed Matter::Quantum Gases Statistics and Probability Physics Quantum Physics FOS: Physical sciences General Physics and Astronomy Propagator Statistical and Nonlinear Physics Condensed Matter::Mesoscopic Systems and Quantum Hall Effect symbols.namesake Isospectral High Energy Physics - Theory (hep-th) Modeling and Simulation Quantum mechanics Atomtronics symbols Supersymmetric quantum mechanics Quantum Physics (quant-ph) Hamiltonian (quantum mechanics) Wave function Mathematical Physics Quantum tunnelling Harmonic oscillator |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 46:065302 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/46/6/065302 |
| Popis: | Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply a general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, i.e. symmetric and asymmetric. Expressions of quantum-mechanical propagators, which take into account all states of the spectrum, are obtained, within the N = 4 SQM approach, in the closed form. For the initial Hamiltonian of a harmonic oscillator, we obtain the explicit expressions of potentials, wavefunctions and propagators. The obtained results are applied to tunneling dynamics of localized states in triple-well potentials and for studying its features. In particular, we observe a Josephson-type tunneling transition of a wave packet, the effect of its partial trapping and a non-monotonic dependence of tunneling dynamics on the shape of a three-well potential. We investigate, among others, the possibility of controlling tunneling transport by changing parameters of the central well, and we briefly discuss potential applications of this aspect to atomtronic devices. Comment: Latex, 28 pages, 7 Figs, 2 Tables; minor presentation changes, journal version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|