Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing quantum coherence at a distance and Aharonov-Bohm non-locality   In a standard interferometry experiment, one measures the phase difference
between two paths by recombining the two wave packets on a beam-splitter.
However, it has been recently recognized that the phase can also be estimated
via local measurements, by using an ancillary particle in a known superposition
state. In this work, we further analyse these protocols for different types of
particles (bosons or fermions, charged or uncharged), with a particular
emphasis on the subtleties that arise when the phase is due to the coupling to
an abelian gauge field. In that case, we show that the measurable quantities
are spacetime loop integrals of the 4-vector potential, enclosed by two
identical particles or by a particle-antiparticle pair. Furthermore, we
generalize our considerations to scenarios involving an arbitrary number of
parties performing local measurements on a general charged fermionic state.
Finally, as a concrete application, we analyse a recent proposal by Marletto
and Vedral (arXiv:1906.03440) involving the time-dependent Aharonov-Bohm
effect.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas