#### Condensed Matter Theory

### Martin Esmann et.al.: Fractional photon-assisted tunnelling of ultra-cold atoms in periodically shaken double-well lattices

**Author(s)**:**Martin Esmann, Jonathan D. Pritchard, Christoph Weiss****Title**:**Date of Upload**: 2012-07-11
**Article**:**Laser Physics Letters, vol. 9, issue 2, pp. 160-168, WILEY-VCH Verlag GmbH & Co. KGaA****Keywords**: double-well lattice, photon-assisted tunnelling, ultra-cold atoms**PACS**: 03.75.Lm, 37.10.Jk, 05.60.Gg**Abstract**:- Fractional photon-assisted tunnelling is investigated both numerically and analytically in a double-well lattice. While integer photon-assisted tunnelling is a single-particle effect, fractional photon-assisted tunnelling is an interaction-induced many-body effect. Double-well lattices with few particles in each double well are ideal to study this effect far from the mean-field effects. It is predicted that the 1/4-resonance is observable in such systems. Fractional photon-assisted tunnelling provides a physically relevant model for which N-th order time-dependent perturbation theory can be large although all previous orders are small.
**URL: http://arxiv.org/abs/1109.2735 (text/plain)**

**Fractional photon-assisted tunnelling of ultra-cold atoms in periodically shaken double-well lattices**

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