Results 11 to 20 of about 24,077 (241)
Weak ergodicity breaking induced by global memory effects [PDF]
Physical Review E, 2016 We study the phenomenon of weak ergodicity breaking for a class of globally correlated random walk dynamics defined over a finite set of states. The persistence in a given state or the transition to another one depends on the whole previous temporal ...
Budini, Adrian A.
core +6 more sources
Weak ergodicity breaking in non-Hermitian many-body systems
SciPost Physics, 2023 The recent discovery of persistent revivals in the Rydberg-atom quantum simulator has revealed a weakly ergodicity-breaking mechanism dubbed quantum many-body scars, which are a set of nonthermal states embedded in otherwise thermal spectra.
Qianqian Chen, Shuai A. Chen, Zheng Zhu
doaj +5 more sources
Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model [PDF]
Communications PhysicsLattice gauge theories, the discrete counterparts of continuum gauge theories, provide a rich framework for studying non-equilibrium quantum dynamics.
Jared Jeyaretnam +4 more
doaj +2 more sources
Weak-coupling limit for ergodic environments [PDF]
, 2019 The main aim of this work is to establish an averaging principle for a wide class of interacting particle systems in the continuum. This principle is an important step in the analysis of Markov evolutions and is usually applied for the associated semigroups related to backward Kolmogorov equations, c.f. [Kur73].
Martin Friesen, Yuri Kondratiev
openalex +4 more sources
Universal activated aging and weak ergodicity breaking in spin and structural glasses. [PDF]
Sci AdvLi B, Pan D, Qu T, Jin Y.
europepmc +4 more sources
Ergodic BSDEs under weak dissipative assumptions [PDF]
Stochastic Processes and their Applications, 2010 In this paper we study ergodic backward stochastic differential equations (EBSDEs) dropping the strong dissipativity assumption needed in the previous work. In other words we do not need to require the uniform exponential decay of the difference of two solutions of the underlying forward equation, which, on the contrary, is assumed to be non degenerate.
Arnaud Debussche +2 more
openalex +7 more sources
Ergodic Properties of Weak Asymptotic Pseudotrajectories for Semiflows [PDF]
Journal of Dynamics and Differential Equations, 2000 The first author, with \textit{M. W. Hirsch} [J. Dyn. Differ. Equ. 8, 141-176 (1996; Zbl 0878.58053)], studied the limiting behavior of asymptotic pseudotrajectories for a semiflow, which they defined as follows. If \(\Phi\) is a semiflow on a metric space, then \(\{ X(t):t\geq 0\}\) is an asymptotic pseudotrajectory for \(\Phi\) if for any \(T>0 ...
Michel Benaı̈m, Sebastian J. Schreiber
openalex +4 more sources
Weak ergodicity breaking with isolated integrable sectors
Physical Review ResearchWe consider spin chain models with local Hamiltonians that display weak ergodicity breaking. In these models, the majority of the eigenstates are thermal, but there is a distinguished subspace of the Hilbert space in which ergodicity is broken.
Hosho Katsura +3 more
doaj +3 more sources
Physical Review ResearchWe construct exact eigenstates of multicomponent Hubbard models in arbitrary dimensions by generalizing the η-pairing mechanism. Our models include the SU(N) Hubbard model as a special case.
Masaya Nakagawa +2 more
doaj +2 more sources
Velocity Multistability vs. Ergodicity Breaking in a Biased Periodic Potential
Entropy, 2022 Multistability, i.e., the coexistence of several attractors for a given set of system parameters, is one of the most important phenomena occurring in dynamical systems.
Jakub Spiechowicz +2 more
doaj +1 more source