Results 111 to 120 of about 24,077 (241)

Weak ergodicity breaking transition in a randomly constrained model

Physical Review B
Experiments in Rydberg atoms have recently found unusually slow decay from a small number of special initial states. We investigate the robustness of such long-lived states (LLS) by studying an ensemble of locally constrained random systems with tunable range μ.
Aydin Deger, Achilleas Lazarides
openaire   +2 more sources

Universal gap growth for Lyapunov exponents of perturbed matrix products

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip, Gary Froyland, Cecilia González‐Tokman, Anthony Quas   +3 more
wiley   +1 more source

On ergodic type theorems for strictly weak mixing C^*-dynamical systems [PDF]

, 2005
Farrukh Mukhamedov
openalex   +1 more source

Directional ergodicity and weak mixing for actions of $\mathbb R^d$ and $\mathbb Z^d$ [PDF]

, 2022
Robinson, E. Arthur, Joseph D. Rosenblatt, Ayşe Şahı̇n   +2 more
openalex   +1 more source

Exact local distribution of the absolutely continuous spectral measure

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
wiley   +1 more source

Quantum many-body scarring in a non-Abelian lattice gauge theory

Physical Review Research
Quantum many-body scarring (QMBS) is an intriguing mechanism of weak ergodicity breaking that has recently spurred significant attention. Particularly prominent in Abelian lattice gauge theories (LGTs), an open question is whether QMBS nontrivially ...
Giuseppe Calajó, Giovanni Cataldi, Marco Rigobello, Darvin Wanisch, Giuseppe Magnifico, Pietro Silvi, Simone Montangero, Jad C. Halimeh   +7 more
doaj   +1 more source

Diffusion approximation of systems with weakly ergodic Markov perturbations. II [PDF]

, 2014
A. Yu. Veretennikov, Alexei Kulik
openalex   +1 more source

Collective behavior based on topological vision

Physical Review Research
The collective dynamics of active particles with topological vision are investigated. The topological vision, defined as a combination of the visual field and topological neighborhoods, breaks the action-reaction symmetry, thereby indicating that active ...
Hongda Shi, Luchun Du, Wei Guo
doaj   +1 more source

Ergodicity and Mixing Properties for SDEs with α-Stable Lévy Noises

Axioms
In this paper, we consider a class of stochastic differential equations driven by multiplicative α-stable ...
Siyan Xu, Huiyan Zhao
doaj   +1 more source

Weak Ergodicity Breaking Through the Lens of Quantum Entanglement

, 2022
Recent studies of interacting systems of quantum spins, ultracold atoms and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal state. It has been shown that many such systems can "weakly" break ergodicity: they possess a small number of non-thermalising eigenstates and/or display ...
openaire   +3 more sources