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Coherent control via interplay between driving field and two-body interaction in a double well

2013/03/01 by Juan Liu, Wenhua Hai, Zheng Zhou
Computer Science · Physics and Astronomy · #Boson #Coherent control #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Field (mathematics) #Floquet theory #Level crossing #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Resonance (particle physics) #quant-ph

paper · pdf · doi:10.1016/j.physleta.2013.09.031

7 pages, 5 figures

arxiv created 2013/03/01 · openalex publication_date 2013/09/26 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate interplay between external field and interatomic interaction and its applications to coherent control of quantum tunneling for two repulsive bosons confined in a high-frequency driven double well. A full solution of the system is generated analytically as a coherent non-Floquet state by using the Floquet states as a set of complete bases. It is demonstrated that the photon resonance of interaction leads to translation of the Floquet level-crossing points, and the non-resonant interaction causes avoided crossing of partial levels. In the non-Floquet states, the bosons beyond the crossing points slowly vary their populations, and the resonant (non-resonant) interactions enhance (decrease) the tunneling rate of the paired particles. Three different kinds of the coherent destructions of tunneling (CDT) at the crossing, avoided-crossing and uncrossing points, and the corresponding stationary-like states, are illustrated. The analytical results are numerically confirmed and perfect agreements are found. Based on the results, an useful scheme of quantum tunneling switch between stationary-like states is presented.

Citations