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Floquet analysis of modulated two-mode Bose-Hubbard model | | Gentaro Watanabe
; Harri Mäkelä
; | | Date: |
13 Mar 2012 | | Abstract: | We study the tunneling dynamics in a time-periodically modulated two-mode
Bose-Hubbard model using Floquet theory. We consider situations where the
system is in the self-trapping regime and either the tunneling amplitude, the
interaction strength, or the energy difference between the modes is modulated.
In the former two cases, the tunneling is enhanced in a wide region of the
modulation frequency, while in the latter case the resonance is narrow. We
explain this difference with the help of Floquet analysis. If the modulation
amplitude is weak, the locations of the resonances can be found using the
spectrum of the non-modulated Hamiltonian. Furthermore, we use Floquet analysis
to explain the coherent destruction of tunneling (CDT) occurring in a
large-amplitude modulated system. Finally, we present two ways to create a NOON
state. One is based on coherent oscillation between the two states
corresponding to all particles being in mode 1 or in mode 2. The oscillation is
caused by detuning from a partial CDT between these states. The other is based
on an adiabatic variation of the modulation frequency. This results in a
Landau-Zener type of transition between the ground state and a NOON-like state. | | Source: | arXiv, 1203.2792 | | Services: | Forum | Review | PDF | Favorites | |
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