Equilibration and locality
- URL: http://arxiv.org/abs/2206.01151v2
- Date: Fri, 22 Jul 2022 15:06:35 GMT
- Title: Equilibration and locality
- Authors: Marek Gazdzicki, Mark Gorenstein, Ivan Pidhurskyi, Oleh Savchuk,
Leonardo Tinti
- Abstract summary: We introduce a Markov-chain based framework over a finite set of microstates.
We show that it is possible to construct models obeying and violating strong-locality both for indistinguishable particles and for distinguishable ones.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Experiments motivated by predictions of quantum mechanics indicate
non-trivial correlations between spacelike-separated measurements. The
phenomenon is referred to as a violation of strong-locality and, after
Einstein, called ghostly action at a distance. An intriguing and previously
unasked question is how the evolution of an assembly of particles to
equilibrium-state relates to strong-locality. More specifically, whether, with
this respect, indistinguishable particles differ from distinguishable ones.
To address the question, we introduce a Markov-chain based framework over a
finite set of microstates. For the first time, we formulate conditions needed
to obey the particle transport- and strong-locality for indistinguishable
particles.
Models which obey transport-locality and lead to equilibrium-state are
considered. We show that it is possible to construct models obeying and
violating strong-locality both for indistinguishable particles and for
distinguishable ones. However, we find that only for distinguishable particles
strongly-local evolution to equilibrium is possible without breaking the
microstate-symmetry. This is the strongest symmetry one can impose and leads to
the shortest equilibration time.
We hope that the results presented here may provide a new perspective on a
violation of strong-locality, and the developed framework will help in future
studies. Specifically they may help to interpret results on high-energy nuclear
collisions indicating a fast equilibration of indistinguishable particles.
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