TY - JOUR
T1 - Phonon-mediated casimir interaction between mobile impurities in one-dimensional quantum liquids
AU - Schecter, Michael
AU - Kamenev, Alex
PY - 2014/4/14
Y1 - 2014/4/14
N2 - Virtual phonons of a quantum liquid scatter off impurities and mediate a long-range interaction, analogous to the Casimir effect. In one dimension the effect is universal and the induced interaction decays as 1/r3, much slower than the van der Waals interaction ∼1/r6, where r is the impurity separation. The sign of the effect is characterized by the product of impurity-phonon scattering amplitudes, which take a universal form and have been seen to vanish for several integrable impurity models. Thus, if the impurity parameters can be independently tuned to lie on opposite sides of such integrable points, one can observe an attractive interaction turned into a repulsive one.
AB - Virtual phonons of a quantum liquid scatter off impurities and mediate a long-range interaction, analogous to the Casimir effect. In one dimension the effect is universal and the induced interaction decays as 1/r3, much slower than the van der Waals interaction ∼1/r6, where r is the impurity separation. The sign of the effect is characterized by the product of impurity-phonon scattering amplitudes, which take a universal form and have been seen to vanish for several integrable impurity models. Thus, if the impurity parameters can be independently tuned to lie on opposite sides of such integrable points, one can observe an attractive interaction turned into a repulsive one.
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U2 - 10.1103/PhysRevLett.112.155301
DO - 10.1103/PhysRevLett.112.155301
M3 - Article
C2 - 24785045
AN - SCOPUS:84939203336
SN - 0031-9007
VL - 112
JO - Physical review letters
JF - Physical review letters
IS - 15
M1 - 155301
ER -