Browsing Stern College for Women  Faculty Publications by Title
Now showing items 3453 of 68

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) 
Probing the edge between integrability and quantum chaos in interacting fewatom systems.
(arXiv preprint, 20210427)Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of manybody physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum ... 
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 ... 
Quantumclassical correspondence of a system of interacting bosons in a triplewell potential.
(20210521)We study the quantumclassical correspondence of an experimentally accessible system of interacting bosons in a tilted triplewell potential. With the semiclassical analysis, we get a better understanding of the different ... 
The quick drive to pseudoequilibrium.
(Nature Physics, 20210104) A clever application of nuclear magnetic resonance techniques offers a glimpse at a quantum system driven at high frequency, resulting in Floquet prethermalization — a quasisteady state that persists for a very long time. 
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 ...