Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: Cold Atomic Gases

TT 37.8: Talk

Tuesday, April 1, 2014, 11:45–12:00, HSZ 304

Quantum phases of one-dimensional soft-core systems — •Marion Moliner, Davide Vodola, and Guido Pupillo — IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, 67000 Strasbourg, France

Rydberg-excited atoms trapped in optical lattices have provided an experimental realization of strong repulsive non-local van der Waals interactions [1]. These soft-core interactions engender exotic phases such as supersolid states in two and three dimensions. In one dimension, a very recent theoretical study showed the existence of critical quantum liquids beyond the Tomonaga-Luttinger liquid picture [2]. The particular feature of these liquids is the formation of clusters due to frustrating interactions.

In the present work, we investigate the effects of adding a ’spin’ degree of freedom in order to mimic a magnetic behaviour. Such systems are described by a longer-range extended Hubbard model with frustrating couplings. By means of analytical and numerical methods we show the existence of other ’cluster Luttinger liquids’ exhibiting different types of magnetic orders.
N. Henkel, R. Nath, and T. Pohl, Phys. Rev. Lett. 104 195302 (2010)
M. Mattioli, M. Dalmonte, W. Lechner and G. Pupillo, Phys. Rev. Lett. 111, 165302 (2013)