Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Control of particle propagation beyond the uncertainty limit by
  interference between position and momentum   As shown in Phys. Rev. A 96, 020101(R) (2017), it is possible to demonstrate
that quantum particles do not move along straight lines in free space by
increasing the probability of finding the particles within narrow intervals of
position and momentum beyond the "either/or" limit of 0.5 using constructive
quantum interference between a component localized in position and a component
localized in momentum. The probability of finding the particle in a
corresponding spatial interval at a later time then violates the lower bound of
the particle propagation inequality which is based on the validity of Newton's
first law. In this paper, the problem of localizing the two state components in
their respective target intervals is addressed by introducing a set of three
coefficients that describe the localization of arbitrary wavefunctions
quantitatively. This characterization is applied to a superposition of
Gaussians, obtaining a violation of the particle propagation inequality by more
than 5 percent if the width of the Gaussian wavefunction is optimized along
with the size of the position and momentum intervals. It is shown that the
violation of the particle propagation inequality originates from the
fundamental way in which quantum interferences relate initial position and
momentum to the future positions of a particle, indicating that the violation
is a fundamental feature of causality in the quantum limit.

2
The categories of this paper are: math
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an