Dynamics of interacting bosons in a double well potential-harmonic versus chirp modulation

Abstract

We present effects of an external driving on the tunneling dynamics of interacting bosons confined in a double well potential. At large values of a periodic driving potential, the dynamics become chaotic, with a distinct difference between tuning of the amplitude or the phase of the driving term with regard to the route leading to chaos. For example, we find that a controlled increase in the amplitude of the driving term with a fixed phase leads to quasiperiodic route to chaos. While tuning of the frequency with a fixed (large) amplitude leads to a crisis induced intermittency route to a chaotic dynamics, where the system intermittently visits different attractors in the phase space. Surprisingly, a chirp frequency superposed on a harmonic signal suppresses the chaotic motion, thereby yielding an orderly dynamics, pretty similar to a (damped) Rabi oscillation.

arXiv comment11 pages, 11 figures

References in corpus (22)

• Cold bosonic atoms in optical lattices
• Repulsively bound atom pairs in an optical lattice
• Many-body localization in periodically driven systems
• Superfluid-insulator transition in a periodically driven optical lattice
• Periodically Driving a Many-Body Localized Quantum System
• Quantum Chaos in Ultracold Collisions of Erbium
• Exploring dynamic localization with a Bose-Einstein condensate
• Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
• Many-Body Coherent Destruction of Tunneling
• Intermittency Route to Strange Nonchaotic Attractors
• The dynamics of a strongly driven two component Bose-Einstein Condensate
• Quasi-energies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving
• Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
• Optical realization of the two-site Bose-Hubbard model in waveguide lattices
• Dynamics of reversals and condensates in 2D Kolmogorov flows
• Trap modulation spectroscopy of the Mott-insulator transition in optical lattices
• Floquet analysis of the modulated two-mode Bose-Hubbard model
• Production of Ultracold Molecules with Chirped Nanosecond Pulses: Evidence for Coherent Effects
• Quantum chaos in ultracold collisions between Yb(${}^1$S${}_0$) and Yb(${}^3$P${}_2$)
• Adiabatic preparation of Floquet condensates
• Probing Ultracold Collisional Dynamics with Frequency-Chirped Pulses
• Resonances for coupled Bose-Einstein Condensates