Physics – Quantum Physics
Scientific paper
2011-03-08
Phys. Rev. Lett. 106, 250401 (2011)
Physics
Quantum Physics
4.1 pages, 3 figures, published version
Scientific paper
10.1103/PhysRevLett.106.250401
We calculate the energy and wave functions of two particles confined to two spatial dimensions interacting via arbitrary anisotropic potentials with negative or zero net volume. The general rigorous analytic expressions are given in the weak coupling limit where universality or model independence are approached. The monopole part of anisotropic potentials is crucial in the universal limit. We illustrate the universality with a system of two arbitrarily polarized cold dipolar molecules in a bilayer. We discuss the transition to universality as function of polarization and binding energy, and compare analytic and numerical results obtained by the stochastic variational method. The universal limit is essentially reached for experimentally accessible strengths.
Fedorov Dmitry V.
Jensen Andreas Schmidt
Volosniev A. G.
Zinner Nikolaj Thomas
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