Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization

LF Santos, M Rigol - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
By means of full exact diagonalization, we study level statistics and the structure of the
eigenvectors of one-dimensional gapless bosonic and fermionic systems across the …

Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition

CL Bertrand, AM García-García - Physical Review B, 2016 - APS
We study a one-dimensional XXZ spin chain in a random field on the metallic side of the
many-body localization transition by level statistics. For a fixed interaction, and intermediate …

Quantum quenches, thermalization, and many-body localization

E Canovi, D Rossini, R Fazio, GE Santoro… - Physical Review B …, 2011 - APS
We conjecture that thermalization following a quantum quench in a strongly correlated
quantum system is closely connected to many-body delocalization in the space of quasi …

Local quenches with global effects in interacting quantum systems

EJ Torres-Herrera, LF Santos - Physical Review E, 2014 - APS
We study one-dimensional lattices of interacting spins-1 2 and show that the effects of
quenching the amplitude of a local magnetic field applied to a single site of the lattice can be …

Quantum chaos, delocalization, and entanglement in disordered Heisenberg models

WG Brown, LF Santos, DJ Starling, L Viola - Physical Review E—Statistical …, 2008 - APS
We investigate disordered one-and two-dimensional Heisenberg spin lattices across the
transition from integrability to quantum chaos from both statistical many-body and quantum …

Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos

A Seshadri, V Madhok, A Lakshminarayan - Physical Review E, 2018 - APS
Many-body states that are invariant under particle relabeling, the permutation symmetric
states, occur naturally when the system dynamics is described by symmetric processes or …

Entanglement spectrum statistics of a time reversal invariant spin chain system: insights from random matrix theory

A Sarkar, S Kumar - The European Physical Journal B, 2023 - Springer
The entanglement spectrum statistics (ESS) of a disordered and generalised time reversal
invariant XXZ model is inspected in the bipartite framework using exact finite-N results from …

Hayden-Preskill recovery in Hamiltonian systems

Y Nakata, M Tezuka - Physical Review Research, 2024 - APS
Information scrambling refers to the unitary dynamics that quickly spreads and encodes
localized quantum information over an entire many-body system and makes the information …

Relaxation and thermalization of isolated many-body quantum systems

EJ Torres-Herrera, D Kollmar, LF Santos - Physica Scripta, 2015 - iopscience.iop.org
We provide an overview of our numerical and analytical studies of isolated interacting
quantum systems that are abruptly quenched out of equilibrium instantaneously. We …

Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition

K Kudo, T Deguchi - Physical Review B, 2018 - APS
We present a finite-size scaling for both interaction and disorder strengths in the critical
regime of the many-body localization (MBL) transition for a spin-1/2 XXZ spin chain with a …