Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Design of a test for the electromagnetic coupling of non-local
  wavefunctions   It has recently been proven that certain effective wavefunctions in
fractional quantum mechanics and condensed matter do not have a locally
conserved current; as a consequence, their coupling to the electromagnetic
field leads to extended Maxwell equations, featuring non-local, formally simple
additional source terms. Solving these equations in general form or finding
analytical approximations is a formidable task, but numerical solutions can be
obtained by performing some bulky double-retarded integrals. We focus on
concrete experimental situations which may allow to detect an anomalous
quasi-static magnetic field generated by these (collective) wavefunctions in
cuprate superconductors. We compute the spatial dependence of the field and its
amplitude as a function of microscopic parameters including the fraction $\eta$
of supercurrent that is not locally conserved in Josephson junctions between
grains, the thickness $a$ of the junctions and the size $\varepsilon$ of their
current sinks and sources. The results show that the anomalous field is
actually detectable at the macroscopic level with sensitive experiments, and
can be important at the microscopic level because of virtual charge effects
typical of the extended Maxwell equations.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con