The influence of the symmetry of identical particles on flight times
- URL: http://arxiv.org/abs/2106.00380v1
- Date: Mon, 31 May 2021 13:56:40 GMT
- Title: The influence of the symmetry of identical particles on flight times
- Authors: Salvador Miret-Art\'es, Randall S. Dumont, Tom Rivlin and Eli Pollak
- Abstract summary: symmetry of identical particles can influence the time evolution of free particles in the nonrelativistic and relativistic domains.
Fermions arrive earlier than bosons when they are scattered by a delta barrier.
Fermions also arrive earlier than bosons when they are scattered by a delta barrier.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work, our purpose is to show how the symmetry of identical particles
can influence the time evolution of free particles in the nonrelativistic and
relativistic domains. For this goal, we consider a system of either two
distinguishable or indistinguishable (bosons and fermions) particles. Two
classes of initial conditions have been studied: different initial locations
with the same momenta, and the same locations with different momenta. The
flight time distribution of particles arriving at a `screen' is calculated in
each case. Fermions display broader distributions as compared with either
distinguishable particles or bosons, leading to earlier and later arrivals for
all the cases analyzed here. The symmetry of the wave function seems to speed
up or slow down propagation of particles. Due to the cross terms, certain
initial conditions lead to bimodality in the fermionic case. Within the
nonrelativistic domain and when the short-time survival probability is
analyzed, if the cross term becomes important, one finds that the decay of the
overlap of fermions is faster than for distinguishable particles which in turn
is faster than for bosons. These results are of interest in the short time
limit since they imply that the well-known quantum Zeno effect would be
stronger for bosons than for fermions.Fermions also arrive earlier than bosons
when they are scattered by a delta barrier. Furthermore, the particle symmetry
does not affect the mean tunneling flight time and it is given by the phase
time for the distinguishable particle.
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