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Floquet analysis of the modulated two-mode Bose-Hubbard model
APCTP, Pohang 790784, Gyeongbuk, South Korea and POSTECH, Dept Phys, Pohang 790784, Gyeongbuk, South Korea and RIKEN, Nishina Ctr, Wako, Saitama 3510198, Japan.
Umeå University, Faculty of Science and Technology, Department of Physics. (Aalto Univ, Dept Appl Phys COMP, FI-00076 Aalto, Finland)
2012 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 85, no 5, 053624- p.Article in journal (Refereed) Published
Abstract [en]

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 range of modulation frequencies, 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 nonmodulated 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 (a superposition of N particles in mode 1 with zero particles in mode 2 and vice versa). One is based on a coherent oscillation caused by detuning from a partial CDT. The other makes use of 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.

Place, publisher, year, edition, pages
2012. Vol. 85, no 5, 053624- p.
National Category
Physical Sciences
URN: urn:nbn:se:umu:diva-56212DOI: 10.1103/PhysRevA.85.053624ISI: 000304172100010OAI: diva2:532969
Available from: 2012-06-12 Created: 2012-06-12 Last updated: 2012-06-12Bibliographically approved

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Mäkelä, Harri
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