Model independence in two dimensions and polarized cold dipolar molecules

TY - JOUR

T1 - Model independence in two dimensions and polarized cold dipolar molecules

AU - Volosniev, A.G.

AU - Fedorov, Dmitri Vladimir

AU - Jensen, A.S.

AU - Zinner, N.T.

N1 - Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2011

Y1 - 2011

N2 - 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 a 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.

AB - 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 a 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.

UR - http://www.scopus.com/inward/record.url?scp=79960644929&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.106.250401

DO - 10.1103/PhysRevLett.106.250401

M3 - Journal article

C2 - 21770613

AN - SCOPUS:79960644929

SN - 0031-9007

VL - 106

SP - PRL 106, 250401

JO - Physical Review Letters

JF - Physical Review Letters

IS - 25

ER -