Bound Chains of Tilted Dipoles in Layered Systems

Abstract

Ultracold polar molecules in multilayered systems have been experimentally realized very recently. While experiments study these systems almost exclusively through their chemical reactivity, the outlook for creating and manipulating exotic few- and many-body physics in dipolar systems is fascinating. Here we concentrate on few-body states in a multilayered setup. We exploit the geometry of the interlayer potential to calculate the two- and three-body chains with one molecule in each layer. The focus is on dipoles that are aligned at some angle with respect to the layer planes by means of an external eletric field. The binding energy and the spatial structure of the bound states are studied in several different ways using analytical approaches. The results are compared to stochastic variational calculations and very good agreement is found. We conclude that approximations based on harmonic oscillator potentials are accurate even for tilted dipoles when the geometry of the potential landscape is taken into account.

10 pages, 6 figures. Submitted to Few-body Systems special issue on Critical Stability, revised version

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• Magnetic particles confined in a modulated channel: structural transitions tunable by tilting a magnetic field
• Occurrence conditions for two-dimensional Borromean systems
• Dipolar fermions in a multilayer geometry
• Many-Body Formation and Dissociation of a Dipolar Chain Crystal
• A Solvable Model for Decoupling of Interacting Clusters