Tunneling Dynamics Between Atomic Bright Solitons

Abstract

We investigate tunneling behavior between two bright solitons in a Bose-Einstein condensate with attractive contact interactions between atoms. The explicit tunneling properties including tunneling particles and oscillation period are described analytically, which indicates that the periodic tunneling form is a nonlinear Josephson type oscillation. The results suggest that the breathing behavior of solitons comes from the tunneling mechanism in an effective double-well potential, which is quite different from the modulational instability mechanism for Akhmediev breather and K-M breather. Furthermore, we obtain a phase diagram for two soliton interaction which admits tunneling property, particle-like property, interference property, and a resonant interaction case. The explicit conditions for them are clarified based on the defined critical distance $d_c$ and spatial interference period $D$.

8 pages, 7 figures

References in corpus (7)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Collisions of matter-wave solitons
• Localized nonlinear waves in a two-mode nonlinear fiber
• Sagnac Interferometry Using Bright Matter-Wave Solitons
• Matter-wave soliton interferometer based on a nonlinear splitter
• Realizing bright matter-wave soliton collisions with controlled relative phase
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap

Cited by in corpus (5)

• Solitons in Nonlinear Systems and Eigen-states in Quantum Wells
• Stationary and moving bright solitons in Bose-Einstein condensates with spin-orbit coupling in a Zeeman field
• Soliton collisions in Bose-Einstein condensates with current-dependent interactions
• Dynamics of a Pair of Overlapping Polar Bright Solitons in Spin-1 Bose-Einstein Condensates
• Rogue waves collision under incident momentum modulation in two-component Bose-Einstein condensates