Browsing Stern College for Women -- Faculty Publications by Title
Now showing items 23-42 of 62
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Exponentially fast dynamics of chaotic many-body systems.
(American Physical Society, 2019-01-02)We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of many-body states participating in the evolution after a quench increases exponentially in time, ... -
From few- to many-body quantum systems.
(IOP Publishing, 2018-09-03)How many particles are necessary to make a quantum system many-body? To answer this question, we take as reference for the many-body limit a quantum system at half-filling and compare its properties with those of a system ... -
Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator.
(American Physical Society, 2018-02-23)We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the ... -
How many particles make up a chaotic many-body quantum system?
(arXiv preprint arXiv:2012.14436, 2020-12-28)We numerically investigate the minimum number of interacting particles, which is required for the onset of strong chaos in quantum systems on a one-dimensional lattice with short-range and long-range interactions. We ... -
Interview with Prof. Jill Katz at Tel es Safi. [video]
(Israel: Nachliel Selavan Museum Tours [museumtours.co.il], 2016-07)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 one-dimensional Anderson model.
(American Physical Society, 2019-08-29)Abstract This work shows that dynamical features typical of full random matrices can be observed also in the simple finite one-dimensional (1D) noninteracting Anderson model with nearest-neighbor couplings. In the ... -
Level Repulsion and Dynamics in the Finite One-Dimensional Anderson Model.
(Philip Allan Publishers Limited, 2019-09-12)This work shows that dynamical features typical of full random matrices can be observed also in the simple finite one-dimensional (1D) noninteracting Anderson model with nearest neighbor couplings. In the thermodynamic ... -
Localization and the effects of symmetries in the thermalization properties of one-dimensional 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 one-dimensional ... -
A note on rabbinic titles and the communities that create them.
(The Michael Scharf Publication Trust of Yeshiva University Press ; Maggid Books, 2018) -
On stability of fixed points and chaos in fractional systems.
(Chaos, 2018)In this paper, we propose a method to calculate asymptotically period two sinks and define the range of stability of fixed points for a variety of discrete fractional systems of the order 0<α<2 . The method is tested on ... -
On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations
(Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015)In this paper, we consider a simple general form of a deterministic system with power-law memory whose state can be described by one variable and evolution by a generating function. A new value of the system's variable is ... -
Onset of quantum chaos in one-dimensional 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 one-dimensional gapless bosonic and fermionic systems across the transition from integrability to quantum chaos. ... -
Positive quantum Lyapunov exponents in classically regular systems.
(arXiv.org, 2019-09-09)Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of the quantum evolution of out-of-time order correlators (OTOCs) with ... -
Positive quantum Lyapunov exponents in experimental systems with a regular classical limit.
(American Physical Society, 2020-01-22)Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The ... -
Preschoolers use social allegiances to predict behavior.
(Taylor & Francis (Routledge), 2014) -
Quantum and classical lyapunov exponents in atom-field interaction systems
(American Physical Society, 2019-01-15)The exponential growth of the out-of-time-ordered 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 quantum-classical ... -
Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems.
(arXiv.org, 2018-07-26)The exponential growth of the out-of-time-ordered 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. ... -
Quantum chaos and thermalization in gapped systems.
(American Physical Society, 2010-07)We investigate the onset of thermalization and quantum chaos in finite one-dimensional gapped systems of hard-core bosons. Integrability in these systems is broken by next-nearest-neighbor repulsive interactions, which ... -
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 vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring.
(IOP Publishing ; Deutsche Physikalische Gesellschaft, 2020-04-30)We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spin-boson model of great experimental interest. By studying the classical ...
