Browsing Faculty Publications by Title
Now showing items 26-45 of 48
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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 ... -
Preschoolers use social allegiances to predict behavior.
(Taylor & Francis (Routledge), 2014) -
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 ... -
Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties.
(MDPI, 2016)We study the static and dynamical properties of isolated many-body 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 three-mode model of a Bose–Einstein condensate.
(IOP Publishing, 2018-11-27)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 ... -
Review of Caputo, Nina. Nahmanides in Medieval Catalonia: History, Community, and Messianism. Notre Dame, IN: University of Notre Dame Press, 2007.
(University of Chicago Press, 2011-01) -
Self-averaging behavior at the metal-insulator transition of many-body quantum systems out of equilibrium .
(2019-10)An observable of a disordered system is self-averaging when its properties do not depend on the specific realization considered. Lack of self-averaging, on the other hand, implies that sample to sample fluctuations persist ... -
Self-averaging in many-body quantum systems out of equilibrium.
(arXiv.org, 2019-06-27)Despite its importance to experiments, numerical simulations, and the development of theoretical models, self-averaging in many-body quantum systems out of equilibrium remains underinvestigated. Usually, in the chaotic ... -
Sensitivity of quantum information to environment perturbations measured with the out-of-time-order correlation function.
(arXiv.org, 2018-08-13)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 non-Markovian from Markovian ... -
Signatures of chaos and thermalization in the dynamics of many-body quantum systems.
(arXiv.org, 2018-04-17)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, 2013-06)Social categorization is an early-developing 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 Many-Body Quantum Systems.
(arXiv.org, 2018-07-19)Studies of the dynamics of isolated interacting many-body 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 ...
