Dresden 2011 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 24: Quantum Gases: Opt. Lattice 1
Q 24.4: Talk
Wednesday, March 16, 2011, 11:15–11:30, HSZ 02
Complete devil’s staircase and crystal–superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation — •Philipp Hauke1, Fernando M. Cucchietti1, Mari-Carmen Bañuls2, Alexander Müller-Hermes2, J. Ignacio Cirac2, and Maciej Lewenstein1 — 1ICFO – The Institute of Photonic Sciences, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain — 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany
Systems with long-range interactions show such intriguing properties as the accommodation of many meta-stable states, supersolid phases, and counterintuitive thermodynamics. On the downside, this increased complexity hinders theoretical studies, making a quantum simulator for long-range models highly desirable. In [1], we propose a trapped-ion quantum simulation of hard-core bosons on a chain with dipolar off-site interaction and tunneling, equivalent to a dipolar XXZ spin-1/2 chain. We explore the rich phase diagram of this model employing perturbative mean-field theory, exact diagonalization, and quasi-exact numerical techniques (density-matrix renormalization group and infinite time evolving block decimation). We find that the complete devil’s staircase – an infinite sequence of crystal states existing at vanishing tunneling – spreads to a succession of lobes similar to the Mott-lobes of Bose–Hubbard models. Inside the insulating lobes there appears – opposed to models with nearest-neighbor tunneling – a quasi-supersolid, a phase with diagonal long-range and off-diagonal quasi–long-range order. [1] Hauke et al., New J. Phys. 12 (2010) 113037