Thursday, June 20, 2013

1306.4610 (A. G. Volosniev et al.)

Strongly-interacting fermions in one dimension and microscopic magnetism    [PDF]

A. G. Volosniev, D. V. Fedorov, A. S. Jensen, M. Valiente, N. T. Zinner
Strongly interacting fermions are ubiquitous in nature and play a vital role in magnetism and superconductivity. In one dimension such systems are among the most studied in physics, since many of them belong to the rare case of exactly solvable models. We introduce a new technique that combines topological classification and the variational principle to obtain the full spectrum of one-dimensional fermionic systems with strong short-range interactions in arbitrary confining geometries which, in spite of much effort, had not been solved in general. This allows us to address the spatial correlations of few-body systems analytically and show that both ferro- and antiferromagnetic states can be prepared and observed in experiments. Our method paves the way for quantum manipulation of magnetic correlations at the microscopic scale.
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