Luttinger hydrodynamics of confined one-dimensional Bose gases with dipolar interactions

Roberta Citro 1 Stefania De Palo 2, 3 Edmond Orignac 4 Paolo Pedri 5, 6 Maria-Luisa Chiofalo 7
1 Dipartamento di Fisica "E. R. Caianiello"
2 Dipartimento di Fisica Teorica
3 DEMOCRITOS
4 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
5 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée
6 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
7 Dipartimento di Matematica [Pisa]
Abstract : Ultracold bosonic and fermionic quantum gases confined to quasi-one-dimensional (1D) geometry are promising candidates for probing fundamental concepts of Luttinger liquid (LL) physics. They can also be exploited for devising applications in quantum information processing and precision measurements. Here, we focus on 1D dipolar Bose gases, where evidence of super-strong coupling behavior has been demonstrated by analyzing the low-energy static and dynamical structures of the fluid at zero temperature by a combined reptation quantum Monte Carlo (RQMC) and bosonization approach. Fingerprints of LL behavior emerge in the whole crossover from the already strongly interacting Tonks–Girardeau at low density to a dipolar density wave regime at high density. We have also shown that a LL framework can be effectively set up and utilized to describe this strongly correlated crossover physics in the case of confined 1D geometries after using the results for the homogeneous system in LL hydrodynamic equations within a local density approximation. This leads to the prediction of observable quantities such as the frequencies of the collective modes of the trapped dipolar gas under the more realistic conditions that could be found in ongoing experiments. The present paper provides a description of the theoretical framework in which the above results have been worked out, making available all the detailed derivations of the hydrodynamic Luttinger equations for the inhomogeneous trapped gas and of the correlation functions for the homogeneous system.
Keywords : cold atoms dipolar interaction low dimensionality
Type de document :
Article dans une revue
New Journal of Physics, Institute of Physics: Open Access Journals, 2008, 10 (4), pp.045011. 〈10.1088/1367-2630/10/4/045011〉
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Contributeur : Edmond Orignac <>
Soumis le : vendredi 2 mai 2008 - 14:30:45
Dernière modification le : vendredi 31 août 2018 - 09:18:02

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Roberta Citro, Stefania De Palo, Edmond Orignac, Paolo Pedri, Maria-Luisa Chiofalo. Luttinger hydrodynamics of confined one-dimensional Bose gases with dipolar interactions. New Journal of Physics, Institute of Physics: Open Access Journals, 2008, 10 (4), pp.045011. 〈10.1088/1367-2630/10/4/045011〉. 〈ensl-00276851〉

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