70 citations · 165 across the 9 of their papers we have counts for
9 papers
Thermalization in a nonlinear variant of the discrete nonlinear Schrödinger Equation
Yagmur Kati, Aleksandra Maluckov, Ana Mancic +1
We study the thermalization properties of a fully nonlinear lattice model originally derived from the two-dimensional cubic defocusing nonlinear Schr{ö}dinger equation (NLS) using…
Effects of inertia on the asynchronous state of a disordered Kuramoto model
Yagmur Kati, Ralf Toenjes, Benjamin Lindner
We investigate the role of inertia in the asynchronous state of a disordered Kuramoto model. We extend an iterative simulation scheme to the case of the Kuramoto model with inertia…
Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state
Yagmur Kati, Jonas Ranft, Benjamin Lindner
The Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its succes…
Equilibrium and Non-equilibrium Gross-Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization
Yagmur Kati
The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anders…
Anderson localization of excitations in disordered Gross-Pitaevskii lattices
Yagmur Kati, Mikhail V. Fistul, Alexander Yu. Cherny +1
We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic propert…
Density Resolved Wave Packet Spreading in Disordered Gross-Pitaevskii Lattices
Yagmur Kati, Xiaoquan Yu, Sergej Flach
We perform novel energy and norm density resolved wave packet spreading studies in the disordered Gross-Pitaevskii (GP) lattice to confine energy density fluctuations. We map the l…
Dynamical glass in weakly non-integrable Klein-Gordon chains
Carlo Danieli, Thudiyangal Mithun, Yagmur Kati +2
Integrable many-body systems are characterized by a complete set of preserved actions. Close to an integrable limit, a {\it nonintegrable} perturbation creates a coupling network i…
Dynamical Glass and Ergodization Times in Classical Josephson Junction Chains
Mithun Thudiyangal, Carlo Danieli, Yagmur Kati +1
Models of classical Josephson junction chains turn integrable in the limit of large energy densities or small Josephson energies. Close to these limits the Josephson coupling betwe…
Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
Mithun Thudiyangal, Yagmur Kati, Carlo Danieli +1
The microcanonical Gross--Pitaevskii (aka semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs dist…