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Devil's staircases, supersolids, and crystal-­‐superfluid transitions with long-­‐range interacting spins: A trapped ion quantum simulation

posted Oct 14, 2014, 3:05 AM by Juan Jose Garcia-Ripoll   [ updated Oct 14, 2014, 3:05 AM ]
Philipp Hauke, ICFO, Barcelona

Long-­‐range interactions lead to intriguing phenomena, such as supersolids, plethora of meta-­‐stable crystal states, and even counterintuitive thermodynamic behavior. On the downside, this increased complexity hinders theoretical studies. In Ref. [1], we analyzed (based on [2]) the possibility to mimick (i.e., "quantum simulate") such behavior in a trapped-­‐ion experiment.

In Ref. [1], we studied the system, which models spins with dipolar interaction and tunneling, in 1D, and found that the devil?s staircase -­‐-­‐ an infinite sequence of crystal states -­‐-­‐ spreads to a succession of lobes similar to the Mott-­‐lobes found in Bose-­‐-­‐Hubbard models. Contrary to more standard models with nearest-­‐neighbor tunneling, crystal phases become quasi-­‐supersolids, i.e., phases with diagonal long-­‐range order and off-­‐diagonal quasi-­‐long range order. Currently, we are analyzing supersolid phases and melting of crystals at finite temperature in a similar model on a 2D triangular lattice. Carrying out the proposed quantum simulation experiments could yield a wealth of new insights into the physics of long-­‐range interactions.

[1] Hauke \emph{et al.}, New J. Phys. 12, 113037 (2010) [2] Porras and Cirac, PRL 92, 207901 (2004)

Date: 8 mars, 2012
Time: 15:30 h
Place: 3rd floor seminar lecture room. Dpt. Física Teórica I Facultad de Ciencias Físicas UCM