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Genericity in topological dynamics [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2008
AbstractWe study genericity of dynamical properties in the space of homeomorphisms of the Cantor set and in the space of subshifts of a suitably large shift space. These rather different settings are related by a Glasner–King type correspondence: genericity in one is equivalent to genericity in the other.
Ageev   +7 more
openaire   +5 more sources

Decoherence patterns of topological qubits from Majorana modes

open access: yesNew Journal of Physics, 2014
We investigate the decoherence patterns of topological qubits in contact with the environment using a novel way of deriving the open system dynamics, rather than using the Feynman–Vernon approach.
Shih-Hao Ho   +3 more
doaj   +2 more sources

Macdonald Formula, Ricci Curvature, and Concentration Locus for Classical Compact Lie Groups

open access: yesAxioms, 2022
We consider the phenomenon of concentration of measures, which is restricted to the case of families of compact connected Lie groups. While in the literature, powerful general results regarding the existence of concentration and its relations to extremal
Sergio Cacciatori, Pietro Ursino
doaj   +1 more source

Nonlinear non-Hermitian higher-order topological laser

open access: yesPhysical Review Research, 2022
Topological lasers are investigated in nonlinear, non-Hermitian, and topological lattice systems based on a quench dynamics starting from one site. Explicitly, we consider the topological laser in the Su-Schrieffer-Heeger model with two topological edge ...
Motohiko Ezawa
doaj   +1 more source

Self-organized topological insulator due to cavity-mediated correlated tunneling [PDF]

open access: yesQuantum, 2021
Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes.
Titas Chanda   +3 more
doaj   +1 more source

Dynamic Topological Logic [PDF]

open access: yesAnnals of Pure and Applied Logic, 2005
Three important research areas meet together in the abstract framework of dynamic topological logic (DTL): the topological semantics for S4, topological dynamics, and temporal logic. It is known that S4 can be understood as the logic of topological spaces, and \(\square\) can be understood as a topological modality (with the meaning of the topological ...
Kremer, Philip, Mints, Grigori
openaire   +1 more source

Topological dynamical decoupling [PDF]

open access: yesScience China Physics, Mechanics & Astronomy, 2019
We show that topological equivalence classes of circles in a two-dimensional square lattice can be used to design dynamical decoupling procedures to protect qubits attached on the edges of the lattice. Based on the circles of the topologically trivial class in the original and the dual lattices, we devise a procedure which removes all kinds of local ...
Zhang, Jiang   +3 more
openaire   +2 more sources

Non-Bloch quench dynamics

open access: yesPhysical Review Research, 2021
We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench dynamics onto the generalized Brillouin zone, we find that emergent topological structures, in the ...
Tianyu Li   +3 more
doaj   +1 more source

Topological optical parametric oscillation

open access: yesNanophotonics, 2022
Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems.
Roy Arkadev   +4 more
doaj   +1 more source

Topological resonances in a Möbius ring resonator

open access: yesCommunications Physics, 2023
A Möbius strip, fascinating for its unique topological property of being a one-side nonorientable surface, has inspired mathematicians, physicists, engineers, and artists for many centuries.
Yao Chen   +4 more
doaj   +1 more source

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