59 citations · 174 across the 10 of their papers we have counts for
10 papers
No-resonance conditions, random matrices, and quantum chaotic models
Jonathon Riddell, Nathan Pagliaroli
In this article we investigate no-resonance conditions for quantum many body chaotic systems and random matrix models. No-resonance conditions are properties of the spectrum of a m…
Islands of Chiral Solitons in Integer Spin Kitaev Chains
Erik S. Sørensen, Jonathon Riddell, Hae-Young Kee
An intriguing chiral soliton phase has recently been identified in the =1/2 Kitaev spin chain. Here we show that for =1,2,3,4,5 an analogous phase can be identified, but cont…
Field Induced Chiral Soliton Phase in the Kitaev Spin Chain
Erik S. Sørensen, Jacob Gordon, Jonathon Riddell +2
The bond-dependent Ising interaction present in the Kitaev model has attracted considerable attention. The appearance of an unexpected intermediate phase under a magnetic field is…
Concentration of quantum equilibration and an estimate of the recurrence time
Jonathon Riddell, Nathan Pagliaroli, Álvaro M. Alhambra
We show that the dynamics of generic quantum systems concentrate around their equilibrium value when measuring at arbitrary times. This means that the probability of finding them a…
Relaxation of non-integrable systems and correlation functions
Jonathon Riddell, Luis Pedro García-Pintos, Álvaro M. Alhambra
We investigate early-time equilibration rates of observables in closed many-body quantum systems and compare them to those of two correlation functions, first introduced by Kubo an…
Scaling at the OTOC Wavefront: free versus chaotic models
Jonathon Riddell, Wyatt Kirkby, D. H. J. O'Dell +1
Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially dist…
Out of Time Order Correlations in the Quasi-Periodic Aubry-André model
Jonathon Riddell, Erik S. Sørensen
We study out of time ordered correlators (OTOC) in a free fermionic model with a quasi-periodic potential. This model is equivalent to the Aubry-André model and features a phase tr…
Time evolution of correlation functions in quantum many-body systems
Álvaro M. Alhambra, Jonathon Riddell, Luis Pedro García-Pintos
We give rigorous analytical results on the temporal behavior of two-point correlation functions --also known as dynamical response functions or Green's functions-- in closed many-b…
Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
Jonathon Riddell, Erik S. Sorensen
We study out of time order correlations, and entanglement growth in the random field XX model with open boundary conditions using the exact Jordan-Wigner transformation to…
Generalized eigenstate typicality in translation-invariant quasifree fermionic models
Jonathon Riddell, Markus P. Mueller
We demonstrate a generalized notion of eigenstate thermalization for translation-invariant quasifree fermionic models: the vast majority of eigenstates satisfying a finite number o…