2007/04/30 by Chaohong Lee, Elena A. Ostrovskaya, Yuri S. Kivshar · 1 citation
Computer Science · Physics and Astronomy · #Adiabatic process #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Excited state #Field (mathematics) #Interferometry #Matter wave #Nonlinear system #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum tunnelling #Rogue wave #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1088/0953-4075/40/21/010
published as J. Phys. B: At. Mol. Opt. Phys. 40, 4235 (2007) · 11 pages, 6 figures, accept for publication in J. Phys. B
arxiv created 2007/10/12 · openalex publication_date 2007/10/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We investigate the nonlinearity-assisted quantum tunnelling and formation of nonlinear collective excitations in a matter-wave interferometer, which is realized by the adiabatic transformation of a double-well potential into a single-well harmonic trap. In contrast to the linear quantum tunnelling induced by the crossing (or avoided crossing) of neighbouring energy levels, the quantum tunnelling between different nonlinear eigenstates is assisted by the nonlinear mean-field interaction. When the barrier between the wells decreases, the mean-field interaction aids quantum tunnelling between the ground and excited nonlinear eigenstates. The resulting non-adiabatic evolution depends on the input states. The tunnelling process leads to the generation of dark solitons, and the number of the generated dark solitons is highly sensitive to the matter-wave nonlinearity. The results of the numerical simulations of the matter-wave dynamics are successfully interpreted with a coupled-mode theory for multiple nonlinear eigenstates.