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Non-autonomous differential equations exhibit a highly intricate dynamics, and various concepts have been introduced to describe their qualitative behavior. In general, it is rare to obtain time dependent invariant compact attracting sets…

Dynamical Systems · Mathematics 2024-02-09 Juan Garcia-Fuentes , José A. Langa , Piotr Kalita , Antonio Suárez

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang

We study the relaxation dynamics of driven, two-dimensional semiconductors, where itinerant electrons dress optically pumped excitons to form two Fermi-polaron branches. Repulsive polarons excited around zero momentum quickly decay to the…

Mesoscale and Nanoscale Physics · Physics 2022-04-21 Tomasz Wasak , Falko Pientka , Francesco Piazza

We examine the existence of nonlinear modes and their temporal dynamics, in arrays of split-ring resonators, using a fractional extension of the Laplacian in the evolution equation. We find a closed-form expression for the dispersion…

Pattern Formation and Solitons · Physics 2020-12-30 Mario I. Molina

The energy dependence of the relaxation rate of hot electrons due to interaction with the Fermi sea is studied. We consider 2D and 3D systems, quasi-1D quantum wires with multiple transverse bands, as well as single-channel 1D wires. Our…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 M. Bard , I. V. Protopopov , A. D. Mirlin

We consider systems of many spatially distributed phase oscillators that interact with their neighbors. Each oscillator is allowed to have a different natural frequency, as well as a different response time to the signals it receives from…

Pattern Formation and Solitons · Physics 2015-05-27 Wai Shing Lee , Juan G. Restrepo , Edward Ott , Thomas M. Antonsen

We study a two-dimensional fermionic QFT used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic…

Strongly Correlated Electrons · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

We study the dynamics of the Fermi-Hubbard model driven by a time-periodic modulation of the interaction within nonequilibrium Dynamical Mean-Field Theory. For moderate interaction, we find clear evidence of thermalization to a genuine…

Strongly Correlated Electrons · Physics 2018-05-09 Francesco Peronaci , Marco Schiró , Olivier Parcollet

We theoretically investigate the polaron physics of an impurity immersed in a two-dimensional Fermi sea, interacting via a p-wave interaction at finite temperature. In the unitary limit with a divergent scattering area, we find a…

Quantum Gases · Physics 2023-11-20 Hui Hu , Jia Wang , Xia-Ji Liu

We study long-time dynamics of a class of abstract second order in time evolution equations in a Hilbert space with the damping term depending both on displacement and velocity. This damping represents the nonlinear strong dissipation…

Dynamical Systems · Mathematics 2010-10-26 Igor Chueshov , Stanislav Kolbasin

We analyze when a repulsively interacting two-component Fermi gas becomes thermodynamically unstable against phase separation. We focus on the strongly polarised limit where the free energy of the homogeneous mixture can be calculated…

Quantum Gases · Physics 2013-06-13 Pietro Massignan , Zhenhua Yu , Georg M. Bruun

I present a simple model of the time dependence of the contact area between solid bodies, assuming either a totally uncorrelated surface topography, or a self affine surface roughness. The existence of relaxation effects (that I incorporate…

Statistical Mechanics · Physics 2015-05-18 E. A. Jagla

We deal with dynamics of the~$\beta$-Fermi-Pasta-Ulam-Tsingou chain with one free end, subjected to the sinusoidal periodic force. We examine evolution of the total energy, supplied at large times. In the harmonic case~($\beta=0$), the…

Statistical Mechanics · Physics 2024-04-11 Sergei D. Liazhkov

A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada , Axel Freyn , Jean-Louis Pichard

We investigate the energy dynamics of a unitary Fermi gas driven away from equilibrium. The energy is injected into the system by periodically modulating the trapping potential of a spherical unitary Fermi gas, and due to the existence of…

Quantum Gases · Physics 2026-05-15 Xiangchuan Yan , Jing Min , Dali Sun , Shi-Guo Peng , Xin Xie , Xizhi Wu , Kaijun Jiang

We develop a theoretical approach to study the transient dynamics and the time-dependent statistics for the Anderson-Holstein model in the regime of strong electron-phonon coupling. For this purpose we adapt a recently introduced…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 R. Seoane Souto , R. Avriller , R. C. Monreal , A. Martin-Rodero , A. Levy Yeyati

Motivated by recent experiments in fermionic polar gases, we study the non-equilibrium dynamics of two-component dipolar fermions subject to a quasiperiodic potential. We investigate the localization of charge and spin degrees of freedom…

Quantum Gases · Physics 2020-12-15 Bradraj Pandey , Elbio Dagotto , Swapan K. Pati

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

We develop a non-Gaussian variational approach that enables us to study both equilibrium and far-from-equilibrium physics of the two-dimensional Fermi polaron. This method provides an unbiased analysis of the polaron-to-molecule phase…

Quantum Gases · Physics 2026-05-01 Yi-Fan Qu , Pavel E. Dolgirev , Eugene Demler , Tao Shi

Dynamical simulations of polaron transport in conjugated polymers in the presence of an external time-dependent electric field have been performed within a combined extended Hubbard model (EHM) and Su-Schrieffer-Heeger (SSH) model. Nearly…

Materials Science · Physics 2016-09-28 Haibo Ma , Ulrich Schollwoeck