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Chemical Physics Letters

Tunneling dynamics in a perturbed triple-well potential: Enhancement versus quenching of tunneling

Kaushik Maji, Sukhamoy Bhattacharyya

Published Apr 23, 2006• 17 citations
Publisher
DOI
10.1016/j.cplett.2006.04.036

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Abstract The effects of discontinuously time‐varying perturbations on the dynamics of a particle moving in harmonic, symmetric double well and symmetric triple well potentials, are investigated both classically and quantum mechanically. The quantum dynamics is followed using the time‐dependent Fourier grid Hamiltonian (TDFGH) method while the classical dynamics is analyzed within the framework of classical Hamiltonian mechanics. Depending on the spatial symmetry of the perturbation and the characteristic features of the reversal time , different types of ‘phase space’ structures are observed in each of the potentials. For symmetric double and triple well potentials, quantum dynamics reveals that complete destruction of tunnelling (CDT) can be achieved in the presence of a time‐dependent spatially asymmetric perturbing field that is continuous in time. Any discontinuity in time‐variation of the perturbation may induce over the barrier transition. The relevance of these results in the context of (i) tunnelling control and (ii) quantum computing with 3‐state or 2‐state quantum registers is briefly discussed.
We study the tunneling of a small ensemble of strongly repulsive bosons in a one-dimensional (1D) triple-well potential. The usual treatment within the single-band approximation suggests a suppression of tunneling in the strong-interaction regime. However, we show that several windows of enhanced tunneling are opened in this regime. This enhanced tunneling results from higher band contributions, and has the character of interband tunneling. It can give rise to various tunneling processes, such as single-boson tunneling and two-boson correlated tunneling of the ensemble of bosons, and is robust against deformations of the triple-well potential. We introduce a basis of generalized number states, including all contributing bands, to explain the interband tunneling, and demonstrate various processes of interband tunneling and its robustness by numerically exact calculation.