2009/08/26 by Hagar Veksler, Yevgeny Krivolapov, Shmuel Fishman
Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Double-well potential #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear system #Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Quantum tunnelling #Schrödinger equation #Schrödinger's cat #Statistical physics #Wave packet #quant-ph
paper · pdf · doi:10.1103/physreve.81.017201
10 pages, 3 figures
arxiv created 2009/08/26 · openalex publication_date 2010/01/04 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The role of double-humped states in spreading of wave packets for the nonlinear Schrödinger equation (NLSE) with a random potential is explored and the spreading mechanism is unraveled. Comparison to an NLSE with a double-well potential is made. There are two independent effects of the nonlinearity on the double-humped states for the NLSE: coupling to other states and destruction. The interplay between these effects is discussed.