Breaking time-translation symmetry in nonunitary Gaussian circuits yields a fractal critical phase with tunable logarithmic entanglement growth, while specially designed random circuits keep robust volume-to-area transitions.
Newhouse phenomena in the Fibonacci trace map
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study dynamical properties of the Fibonacci trace map - a polynomial map that is related to numerous problems in geometry, algebra, analysis, mathematical physics, and number theory. Persistent homoclinic tangencies, stochastic sea of full Hausdorff dimension, infinitely many elliptic islands - all the conservative Newhouse phenomena are obtained for many values of the Fricke-Vogt invariant. The map has all the essential properties that were obtained previously for the Taylor-Chirikov standard map, and can be suggested as another candidate for the simplest conservative system with highly non-trivial dynamics.
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Entanglement transitions in structured and random nonunitary Gaussian circuits
Breaking time-translation symmetry in nonunitary Gaussian circuits yields a fractal critical phase with tunable logarithmic entanglement growth, while specially designed random circuits keep robust volume-to-area transitions.