Directed percolation in non-unitary quantum cellular automata
- URL: http://arxiv.org/abs/2105.01394v1
- Date: Tue, 4 May 2021 10:10:16 GMT
- Title: Directed percolation in non-unitary quantum cellular automata
- Authors: Ramil Nigmatullin, Elisabeth Wagner and Gavin K. Brennen
- Abstract summary: We construct a non-unitary Quantum Cellular Automaton that generalises the Domany-Kinzel cellular automaton.
We study the resulting dynamical evolution using the numerical simulations using the tensor network iTEBD algorithm.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Probabilistic cellular automata (CA) provides a classic framework for
studying non-equilibrium statistical physics on a lattices. A notable example
is the Domany-Kinzel CA, which has been used to investigate the process of
directed percolation and the critical dynamics of the non-equilibrium phase
transition betweeen absorbing and percolating phases. In this work, we
construct a non-unitary Quantum Cellular Automaton that generalises the
Domany-Kinzel cellular automaton and study the resulting dynamical evolution
using the numerical simulations using the tensor network iTEBD algorithm. We
demonstrate the system undergoes the absorbing/percolating phase transition and
the addition of the Hamiltonian generates coherences, which are a distinct
feature of the quantum dynamics. A proposal for the implementation of the model
with Rydberg array is put forward, which does not require local addressing of
individual sites.
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