Out-of-time-order correlators and quantum chaos

I García-Mata, RA Jalabert, DA Wisniacki - arXiv preprint arXiv:2209.07965, 2022 - arxiv.org
Quantum Chaos has originally emerged as the field which studies how the properties of
classical chaotic systems arise in their quantum counterparts. The growing interest in …

[HTML][HTML] Out-of-time-order correlation for many-body localization

R Fan, P Zhang, H Shen, H Zhai - Science bulletin, 2017 - Elsevier
In this paper we first compute the out-of-time-order correlators (OTOC) for both a
phenomenological model and a random-field XXZ model in the many-body localized phase …

Criterion for many-body localization-delocalization phase transition

M Serbyn, Z Papić, DA Abanin - Physical Review X, 2015 - APS
We propose a new approach to probing ergodicity and its breakdown in one-dimensional
quantum many-body systems based on their response to a local perturbation. We study the …

Constructing local integrals of motion in the many-body localized phase

A Chandran, IH Kim, G Vidal, DA Abanin - Physical Review B, 2015 - APS
Many-body localization provides a generic mechanism of ergodicity breaking in quantum
systems. In contrast to conventional ergodic systems, many-body-localized (MBL) systems …

Slow scrambling in disordered quantum systems

B Swingle, D Chowdhury - Physical Review B, 2017 - APS
In this work we study the effect of static disorder on the growth of commutators—a probe of
information scrambling in quantum many-body systems—in a variety of contexts. We find …

Out‐of‐time‐ordered correlators in many‐body localized systems

Y Huang, YL Zhang, X Chen - Annalen der Physik, 2017 - Wiley Online Library
In many‐body localized systems, propagation of information forms a light cone that grows
logarithmically with time. However, local changes in energy or other conserved quantities …

Out‐of‐time‐order correlations in many‐body localized and thermal phases

X Chen, T Zhou, DA Huse, E Fradkin - Annalen der Physik, 2017 - Wiley Online Library
We use the out‐of‐time‐order (OTO) correlators to study the slow dynamics in the many‐
body localized (MBL) phase. We investigate OTO correlators in the effective (“l‐bit”) model of …

Hardware-efficient ansatz without barren plateaus in any depth

CY Park, M Kang, J Huh - arXiv preprint arXiv:2403.04844, 2024 - arxiv.org
Variational quantum circuits have recently gained much interest due to their relevance in
real-world applications, such as combinatorial optimizations, quantum simulations, and …

Local integrals of motion and the quasiperiodic many-body localization transition

H Singh, B Ware, R Vasseur, S Gopalakrishnan - Physical Review B, 2021 - APS
We study the many-body localization (MBL) transition for interacting fermions subject to
quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL …

One‐particle density matrix characterization of many‐body localization

S Bera, T Martynec, H Schomerus… - Annalen der …, 2017 - Wiley Online Library
We study interacting fermions in one dimension subject to random, uncorrelated onsite
disorder, a paradigmatic model of many‐body localization (MBL). This model realizes an …