Stern College for Women  Faculty Publications
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Signatures of chaos and thermalization in the dynamics of manybody quantum systems.
(Springer Berlin Heidelberg, 201903)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 ... 
Exponentially fast dynamics of chaotic manybody systems.
(American Physical Society, 20190102)We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of manybody states participating in the evolution after a quench increases exponentially in time, ... 
Quantum and classical lyapunov exponents in atomfield interaction systems
(American Physical Society, 20190115)The exponential growth of the outoftimeordered correlator (OTOC) has been proposed as a quantum signature of classical chaos. The growth rate is expected to coincide with the classical Lyapunov exponent. This quantumclassical ... 
Thouless and relaxation time scales in manybody quantum systems.
(American Physical Society, 20190528)Abstract A major open question in studies of nonequilibrium quantum dynamics is the identification of the time scales involved in the relaxation process of isolated quantum systems that have many interacting particles. ... 
Timescales in the quench dynamics of manybody quantum systems: Participation ratio versus outoftime ordered correlator.
(American Physical Society, 20190531)We study quench dynamics in the manybody Hilbert space using two isolated systems with a finite number of interacting particles: a paradigmatic model of randomly interacting bosons and a dynamical (clean) model of ... 
Dynamical signatures of quantum chaos and relaxation time scales in a spinboson system.
(American Physical Society, 20190731)Quantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random matrices. A dynamical manifestation of these ... 
Calculation of transition state energies in the hcn–hnc isomerization with an algebraic model.
(American Chemical Society, 20191009)Recent works have shown that the spectroscopic access to highly excited states provides enough information to characterize transition states in isomerization reactions. Here, we show that information about the transition ... 
Level repulsion and dynamics in the finite onedimensional Anderson model.
(American Physical Society, 20190829)Abstract This work shows that dynamical features typical of full random matrices can be observed also in the simple finite onedimensional (1D) noninteracting Anderson model with nearestneighbor couplings. In the ... 
Sensitivity of quantum information to environment perturbations measured with a nonlocal outoftimeorder correlation function.
(American Physical Society, 20200224)In a quantum system coupled with a nonMarkovian environment, quantum information may flow out of or into the system. Measuring quantum information flow and its sensitivity to perturbations is important for a better ... 
Dynamical Detection of Level Repulsion in the OneParticle AubryAndré Model.
(MDPI : Multidisciplinary Digital Publishing Institute, 20200120)Abstract: The analysis of level statistics provides a primary method to detect signatures of chaos in the quantum domain. However, for experiments with ion traps and cold atoms, the energy levels are not as easily ... 
Quantum vs classical dynamics in a spinboson system: manifestations of spectral correlations and scarring.
(IOP Publishing ; Deutsche Physikalische Gesellschaft, 20200430)We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spinboson model of great experimental interest. By studying the classical ... 
Selfaveraging in manybody quantum systems out of equilibrium: Chaotic systems.
(American Physical Society, 20200526)Despite its importance to experiments, numerical simulations, and the development of theoretical models,selfaveraging in manybody quantum systems out of equilibrium remains under investigated. Usually, in the chaotic ... 
Selfaveraging in manybody quantum systems out of equilibrium: Approach to the localized phase.
(American Physical Society, 20200923)The selfaveraging behavior of interacting manybody quantum systems has been mostly studied at equilibrium. The present paper addresses what happens out of equilibrium, as the increase of the strength of onsite disorder ... 
Selfaveraging in manybody quantum systems out of equilibrium: Time dependence of distributions.
(American Chemical Society, 20200528)In a disordered system, a quantity is selfaveraging when the ratio between its variance over disorder realizations and the square of its mean decreases as the system size increases. Here, we consider a chaotic disordered ... 
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit.
(American Physical Society, 20200122)Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of outoftime order correlators (OTOCs) with quantum chaos. The ... 
Speck of chaos.
(American Physical Society, 2020)It has been shown that, despite being local, a perturbation applied to a single site of the onedimensional XXZ model is enough to bring this interacting integrable spin1/2 system to the chaotic regime. Here, we show ... 
Interview with Prof. Jill Katz at Tel es Safi. [video]
(Israel: Nachliel Selavan Museum Tours [museumtours.co.il], 201607)Interview with Prof. Dr. Jill C. Katz, Stern College for Women, Yeshiva University and Nachliel Selavan about Tel es Safi, Goliath's hometown). 
Level Repulsion and Dynamics in the Finite OneDimensional Anderson Model.
(Philip Allan Publishers Limited, 20190912)This work shows that dynamical features typical of full random matrices can be observed also in the simple finite onedimensional (1D) noninteracting Anderson model with nearest neighbor couplings. In the thermodynamic ... 
Dynamical signatures of quantum chaos and relaxation timescales in a spinboson system.
(Philip Allan Publishers Limited, 20190510)Quantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random matrices. A dynamical manifestation of these ... 
Selfaveraging in manybody quantum systems out of equilibrium.
(arXiv.org, 20190627)Despite its importance to experiments, numerical simulations, and the development of theoretical models, selfaveraging in manybody quantum systems out of equilibrium remains underinvestigated. Usually, in the chaotic ...