Browsing Stern College for Women  Faculty Publications by Title
Now showing items 2342 of 62

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, ... 
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 ... 
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 ... 
How many particles make up a chaotic manybody quantum system?
(arXiv preprint arXiv:2012.14436, 20201228)We numerically investigate the minimum number of interacting particles, which is required for the onset of strong chaos in quantum systems on a onedimensional lattice with shortrange and longrange interactions. We ... 
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.
(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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Preschoolers use social allegiances to predict behavior.
(Taylor & Francis (Routledge), 2014) 
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 ... 
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 ... 
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 ...