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Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and outoftimeordered correlator.
(American Physical Society, 20180223)We study numerically and analytically the quench dynamics of isolated manybody quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the ... 
Decay of a thermofielddouble state in chaotic quantum systems.
(EDP Sciences, 201809)Scrambling in interacting quantum systems out of equilibrium is particularly effective in the chaotic regime. Under time evolution, initially localized information is said to be scrambled as it spreads throughout the entire ... 
From few to manybody quantum systems.
(IOP Publishing, 20180903)How many particles are necessary to make a quantum system manybody? To answer this question, we take as reference for the manybody limit a quantum system at halffilling and compare its properties with those of a system ... 
Excitedstate quantum phase transitions studied from a nonHermitian perspective.
(American Physical Society, 20170124)A main distinguishing feature of nonHermitian quantum mechanics is the presence of exceptional points (EPs). They correspond to the coalescence of two energy levels and their respective eigenvectors. Here, we use the ... 
Relaxation, chaos, and thermalization in a threemode model of a Bose–Einstein condensate.
(IOP Publishing, 20181127)We study the complex quantum dynamics of a system of many interacting atoms in an elongated an harmonic trap. The system is initially in a Bose–Einstein condensed state, well described by Thomas–Fermi profile in the ... 
Analytical description of the survival probability of coherent states in regular regimes.
(American Physical Society, 2018)Using coherent states as initial states, we investigate the quantum dynamics of the Lipkin–Meshkov–Glick (LMG) and Dicke models in the semiclassical limit. They are representative models of bounded systems with one and ... 
Signatures of chaos and thermalization in the dynamics of manybody quantum systems.
(arXiv.org, 20180417)We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued ... 
Comment on “Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis”.
(American Physical Society, 20180717) 
Thouless and Relaxation Time Scales in ManyBody Quantum Systems.
(arXiv.org, 20180719)Studies of the dynamics of isolated interacting manybody quantum systems are at the forefront of experimental and theoretical physics. A major open question is the identification of the time scales involved in the ... 
Sensitivity of quantum information to environment perturbations measured with the outoftimeorder correlation function.
(arXiv.org, 20180813)Measures to quantify the flow of quantum information and its sensitivity to environment perturbations are needed to better understand the evolution of open quantum systems and to distinguish nonMarkovian from Markovian ... 
Exponentially fast dynamics in the Fock space of chaotic man ybody systems.
(arXiv.org, 20180222)We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of states participating in the evolution after a quench increases exponentially in time, provided the ... 
Quantum and Classical Lyapunov Exponents in AtomField Interaction Systems.
(arXiv.org, 20180726)The exponential growth of the outoftimeordered correlator (OTOC) has been proposed as a quantum sig nature of classical chaos. The growth rate is expected to coincide with the classical Lyapunov exponent. ... 
Dynamics at the manybody localization transition.
(American Physical Society, 201507)The isolated onedimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of manybody localization. Here, we study the dynamics of this system initially prepared in a ... 
Entropy of Isolated Quantum Systems after a Quench.
(American Physical Society, 20110718)A diagonal entropy, which depends only on the diagonal elements of the system’s density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in outofequilibrium ... 
Entanglement in quantum computers described by the XXZ model with defects.
(American Physical Society, 200306)We investigate on how to generate maximally entangled states in systems characterized by the Hamiltonian of the XXZ model with defects. Some proposed quantum computers are described by such a model. Defects embedded in ... 
Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles.
(American Physical Society, 2016)This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex ... 
Quantum chaos and thermalization in gapped systems.
(American Physical Society, 201007)We investigate the onset of thermalization and quantum chaos in finite onedimensional gapped systems of hardcore bosons. Integrability in these systems is broken by nextnearestneighbor repulsive interactions, which ... 
Localization and the effects of symmetries in the thermalization properties of onedimensional quantum systems.
(American Physical Society, 2010)We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite onedimensional ... 
Onset of quantum chaos in onedimensional bosonic and fermionic systems and its relation to thermalization.
(American Physical Society, 2010)By means of full exact diagonalization, we study level statistics and the structure of the eigenvectors of onedimensional gapless bosonic and fermionic systems across the transition from integrability to quantum chaos. ... 
Realistic ManyBody Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties.
(MDPI, 2016)We study the static and dynamical properties of isolated manybody quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from ...