activity
20172021
most citedMultifractality of wave functions on a Cayley tree: From root to leaves

76 citations · 76 across the 1 of their papers we have counts for

collaborators

5 papers

quant-ph2021

Scaling of temporal entanglement in proximity to integrability

Alessio Lerose, Michael Sonner, Dmitry A. Abanin

Describing dynamics of quantum many-body systems is a formidable challenge due to rapid generation of quantum entanglement between remote degrees of freedom. A promising approach t…

quant-ph2021

Influence functional of many-body systems: temporal entanglement and matrix-product state representation

Michael Sonner, Alessio Lerose, Dmitry A. Abanin

Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system. We apply the IF approa…

cond-mat.dis-nn2020

Thouless Energy Across Many-Body Localization Transition in Floquet Systems

Michael Sonner, Maksym Serbyn, Zlatko Papić +1

The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) tra…

cond-mat.dis-nn2019

Disorder and interaction in chiral chains: Majoranas vs complex fermions

Jonas F. Karcher, Michael Sonner, Alexander D. Mirlin

We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex)…

cond-mat.dis-nn201776 cited

Multifractality of wave functions on a Cayley tree: From root to leaves

M. Sonner, K. S. Tikhonov, A. D. Mirlin

We explore the evolution of wave-function statistics on a finite Bethe lattice (Cayley tree) from the central site ("root") to the boundary ("leaves"). We show that the eigenfuncti…