AI Article Synopsis

  • The study explores the link between charge and vortex conductivities, using complex frequencies, to analyze the capacitance in insulating phases as an indication of vortex condensate stiffness.
  • It calculates the ratio of superfluid stiffness to vortex condensate stiffness for the relativistic O(2) model as 0.21(1) at specific points, contributing to our understanding of these systems.
  • Additionally, the research suggests using finite wave vector compressibility as a practical experimental method to measure vortex condensate stiffness for neutral lattice bosons.

Article Abstract

Using a generalized reciprocity relation between charge and vortex conductivities at complex frequencies in two space dimensions, we identify the capacitance in the insulating phase as a measure of vortex condensate stiffness. We compute the ratio of boson superfluid stiffness to vortex condensate stiffness at mirror points to be 0.21(1) for the relativistic O(2) model. The product of dynamical conductivities at mirror points is used as a quantitative measure of deviations from self-duality between charge and vortex theories. We propose the finite wave vector compressibility as an experimental measure of the vortex condensate stiffness for neutral lattice bosons.

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http://dx.doi.org/10.1103/PhysRevLett.113.240601DOI Listing

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