Phonon-mediated casimir interaction between mobile impurities in one-dimensional quantum liquids

Michael Schecter, Alex Kamenev

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number155301
JournalPhysical Review Letters
Volume112
Issue number15
DOIs
StatePublished - Apr 14 2014

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