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Since steep declines in a population's size also typically alter its composition, population bottlenecks are considered highly important for evolution. However, despite such significance, the mechanisms governing the impact of a given…

Populations and Evolution · Quantitative Biology 2022-06-28 Emanuele Crosato , Jeffrey N. Philippson , Shashi Thutupalli , Richard G. Morris

An intriguing and unexpected result for students learning numerical analysis is that Newton's method, applied to the simple polynomial z^3 - 1 = 0 in the complex plane, leads to intricately interwoven basins of attraction of the roots. As…

chao-dyn · Physics 2008-02-03 Bogdan I. Epureanu , Henry S. Greenside

This paper studies data-driven stabilization of a class of unknown polynomial systems using data corrupted by bounded noise. Existing work addressing this problem has focused on designing a controller and a Lyapunov function so that a…

Optimization and Control · Mathematics 2025-09-26 Huayuan Huang , M. Kanat Camlibel , Raffaella Carloni , Henk J. van Waarde

We consider a bilayer of dipolar bosons in which the polarization of dipoles are perpendicular to the planes. Using accurate static structure factor $S(q)$ data from hypernetted-chain calculation for single layer dipolar bosons we construct…

Quantum Gases · Physics 2015-07-23 E. Akaturk , B. Tanatar , Saeed H. Abedinpour

The theory of purified pseudomodes [arXiv:2412.04264 (2024)] was recently developed to provide a numerical tool for the analysis of the properties of a quantum system and the environment it couples to via linear system-bath interactions.…

Quantum Physics · Physics 2025-12-05 Cheng Zhang , Neill Lambert , Xin-Qi Li , Mauro Cirio , Pengfei Liang

The spontaneous emission rate of a quantum dot coupled to a structured photonic reservoir is determined by the frequency dependence of its local density of photon states. Through phonon-dressing, a breakdown of Fermi's golden rule can occur…

Quantum Physics · Physics 2015-04-13 Kaushik Roy-Choudhury , Stephen Hughes

The universal bimodal distribution of transmission eigenvalues in lossless diffusive systems un- derpins such celebrated phenomena as universal conductance fluctuations, quantum shot noise in condensed matter physics and enhanced…

Optics · Physics 2016-03-09 A. Yamilov , S. Petrenko , R. Sarma , H. Cao

We develop a theory for light-induced superconductivity in underdoped cuprates in which the competing bond-density wave order is suppressed by driving phonons with light. Close to a bond-density wave instability in a system with a small…

Strongly Correlated Electrons · Physics 2016-05-20 Aavishkar A. Patel , Andreas Eberlein

In this paper we consider a physiologically structured population model with distributed states at birth, formulated on the space of non-negative Radon measures. Using a characterisation of the pre-dual space of bounded Lipschitz functions,…

Analysis of PDEs · Mathematics 2022-05-17 József Z. Farkas , Piotr Gwiazda , Anna Marciniak-Czochra

We consider fluid wetting on a corrugated substrate using effective interfacial Hamiltonian theory and show that breaking the translational invariance along the wall can induce an 'unbending' phase transition in addition to unbinding. Both…

Soft Condensed Matter · Physics 2009-10-31 C. Rascon , A. O. Parry , A. Sartori

We investigate experimentally the influence of current flow through two independent quantum point contacts to a nearby double quantum dot realized in a GaAs-AlGaAs heterostructure. The observed current through the double quantum dot can be…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 U. Gasser , S. Gustavsson , B. Küng , K. Ensslin , T. Ihn , D. C. Driscoll , A. C. Gossard

In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated boundary conditions. Asymptotic expansions are used in order…

Statistical Mechanics · Physics 2019-11-19 Helena Ribera , Brian Wetton , Timothy Myers

Motivated by photoinduced phase transition in manganese oxides, charge and spin dynamics induced by photoirradiation are examined. We calculate the transient optical absorption spectra of the extended double-exchange model by the density…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Matsueda , Sumio Ishihara

We theoretically investigate pump-probe optical responses in the two-dimensional extended Hubbard model describing cuprates by using a time-dependent Lanczos method. At half filling, pumping generates photoinduced absorptions inside the…

Strongly Correlated Electrons · Physics 2017-11-23 Kazuya Shinjo , Takami Tohyama

The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on…

We study multi-photon resonances in a strongly-driven three-level quantum system, where one level is periodically swept through a pair of levels with constant energy separation $E$. Near the multi-photon resonance condition $n\hbar\omega =…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Jeroen Danon , Mark S. Rudner

Optical data is encoded with information on the microscopic interaction between charge carriers. For an electron-phonon system, the Eliashberg equations apply and a Kubo formula can be used to get the infrared conductivity. The task of…

Superconductivity · Physics 2007-05-23 E. Schachinger , D. Neuber , J. P. Carbotte

A method to interpret probe spectra of driven degenerate atomic systems is discussed. The dressed-atom multiphoton spectroscopy (DAMS) is based on a dressing of the atomic system with the strong coupling field, followed by a perturbative…

Quantum Physics · Physics 2015-05-19 H. -S. Chou , J. Evers

We applied the time-resolved attosecond transient absorption spectroscopy to systematically investigate ultrafast optical responses of condensed matter systems. Under an intense pump pulse, absorption spectra indicate that the…

Strongly Correlated Electrons · Physics 2023-07-26 Youngjae Kim

We analyze the inverse problem of Density Functional Theory using a regularized variational method. First, we show that given $k$ and a target density $\rho$, there exist potentials having $k^{\text{th}}$ bound mixed states which densities…

Mathematical Physics · Physics 2022-07-01 Louis Garrigue
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