Quantum resonance and anti-resonance for a periodically kicked Bose-Einstein Condensate in a one dimensional Box

Abstract

We investigate the quantum dynamics of a periodically kicked Bose-Einstein Condensate confined in a one dimensional (1D) Box both numerically and theoretically, emphasizing on the phenomena of quantum resonance and anti-resonance. The quantum resonant behavior of BEC is different from the single particle case but the anti-resonance condition ($T=2\pi$ and $\alpha =0$) is not affected by the atomic interaction. For the anti-resonance case, the nonlinearity (atom interaction) causes the transition between oscillation and quantum beating. For the quantum resonance case, because of the coherence of BEC, the energy increase is oscillating and the rate is dramatically affected by the many-body interaction. We also discuss the relation between the quantum resonant behavior and the KAM or non-KAM property of the corresponding classical system.

arXiv comment7 pages, 7 figures

References in corpus (9)

• Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity
• Theory of nonlinear Landau-Zener tunneling
• Bose Einstein Condensate in a Box
• Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
• Transition to Instability in a Kicked Bose-Einstein Condensate
• Transition to Instability in a Periodically Kicked Bose-Einstein Condensate on a Ring
• Fidelity of a Bose-Einstein Condensate

Cited by in corpus (4)

• Many-body quantum ratchet in a Bose-Einstein condensate
• Spectral fluctuation and $\frac{1}{f^{\alpha }}$ noise in the energy level statistics of interacting trapped bosons
• Dynamics of kicked particles in a double-barrier structure
• Diffusion and entanglement of a kicked particle in an infinite square well under frequent measurements