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Open Quantum Systems Decoherence
Renormalisation of Fermionic Cellular Automata
arXiv
Authors: Lorenzo Siro Trezzini, Andrea Pizzamiglio, Alessandro Bisio, Paolo Perinotti
Year
2025
Paper ID
16484
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
We present an exact renormalisation scheme for fermionic cellular automata on hypercubic lattices. By grouping neighbouring cells into tiles and selecting subspaces within them, multiple evolution steps on the original system correspond to a single step of an effective automaton acting on the subspaces. We derive a necessary and sufficient condition for renormalisability and fully characterise the renormalisation flow for two-cell tiles and two time steps of nearest-neighbour fermionic automata on a chain of spinless modes, identifying all fixed points.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We present an exact renormalisation scheme for fermionic cellular automata on hypercubic lattices.
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