Quantum backflow for many-particle systems
- URL: http://arxiv.org/abs/2005.14685v1
- Date: Fri, 29 May 2020 17:21:21 GMT
- Title: Quantum backflow for many-particle systems
- Authors: Maximilien Barbier
- Abstract summary: We give a general formulation of quantum backflow for systems formed of $N$ free nonrelativistic structureless particles, either identical or distinguishable.
We analytically show that the maximum achievable amount of quantum backflow in this case becomes arbitrarily small for large values of $N$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum backflow is the classically-forbidden effect pertaining to the fact
that a particle with a positive momentum may exhibit a negative probability
current at some space-time point. We investigate how this peculiar phenomenon
extends to many-particle systems. We give a general formulation of quantum
backflow for systems formed of $N$ free nonrelativistic structureless
particles, either identical or distinguishable. Restricting our attention to
bosonic systems where the $N$ identical bosons are in the same one-particle
state allows us in particular to analytically show that the maximum achievable
amount of quantum backflow in this case becomes arbitrarily small for large
values of $N$.
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