Browsing Faculty Publications by Title
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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 powerlaw memory (integral Volterra equations of the second kind) to GrünvaldLetnikov 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 powerlaw 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 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. ... 
Positive quantum Lyapunov exponents in classically regular systems.
(arXiv.org, 20190909)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 outoftime order correlators (OTOCs) with ... 
Preschoolers use social allegiances to predict behavior.
(Taylor & Francis (Routledge), 2014) 
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. ... 
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 ... 
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 ... 
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 ... 
The relationship between the Jewish people and Yerushalayim: A historical account of the first 400 years.
(Yeshiva University. Th, 2013) 
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 ... 
Religious persecution, civil war, and bureaucratic mischief: A Chanukah story fo the ages.
(Yeshiva University, 2015)The vagaries of the Jewish experience are all manifest in the story of Chanukah. Some, such as religious persecution and factional tensions, are so familiar that we are almost inured to them. Others may make us pause as ... 
Selfaveraging behavior at the metalinsulator transition of manybody quantum systems out of equilibrium .
(201910)An observable of a disordered system is selfaveraging when its properties do not depend on the specific realization considered. Lack of selfaveraging, on the other hand, implies that sample to sample fluctuations persist ... 
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 ... 
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 ... 
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 ... 
Social categories as markers of intrinsic interpersonal obligations.
(SAGE Publications, 201306)Social categorization is an earlydeveloping feature of human social cognition, yet the role that social categories play in how children understand and predict human behavior has been unclear. These studies test whether ... 
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 ... 
Universal fractional map and cascade of bifurcations type attractors
(Chaos: An Interdisciplinary Journal of Nonlinear Science, 201309)We modified the way in which the Universal Map is obtained in the regular dynamics to derive the Universal αFamily of Maps depending on a single parameter α>0, which is the order of the fractional derivative in the nonlinear ...