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In this Letter, we investigate the effects of a time-dependent, short-ranged interaction on the long-time expansion dynamics of Fermi gases. We show that the effects of the interaction on the dynamics is dictated by how it changes under a…

Quantum Gases · Physics 2022-02-02 Jeff Maki , Shizhong Zhang , Fei Zhou

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

We study the problem of evolution of a density pulse of one-dimensional interacting fermions with a non-linear single-particle spectrum. We show that, despite non-Fermi-liquid nature of the problem, non-equilibrium phenomena can be…

Strongly Correlated Electrons · Physics 2014-04-30 I. V. Protopopov , D. B. Gutman , M. Oldenburg , A. D. Mirlin

We propose a theoretical and computational approach to investigate temporal behavior of a nonlinear polarization in perturbative regime induced by an intense and ultrashort pulsed electric field. First-principles time-dependent density…

Optics · Physics 2019-03-27 Mitsuharu Uemoto , Yuki Kuwabara , Shunsuke A. Sato , Kazuhiro Yabana

A fundamental problem of out-of-equilibrium physics is the speed at which the order parameter grows upon crossing a phase transition. Here, we investigate the dynamics of ordering in a Fermi gas undergoing a density-wave phase transition…

We present a numerical study of dynamical correlations (structure factors) of the long-range generalization of the Fermi-Pasta-Ulam oscillator chain, where the strength of the interaction between two lattice sites decays as a power $\alpha$…

Statistical Mechanics · Physics 2019-06-11 Pierfrancesco Di Cintio , Stefano Iubini , Stefano Lepri , Roberto Livi

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie

We study theoretically the lifetimes of attractive and repulsive Fermi polarons, as well as the molecule at finite momentum in three dimensions. To this end, we develop a new technique that allows for the computation of Green's functions in…

Quantum Gases · Physics 2024-11-28 Jonas von Milczewski , Richard Schmidt

We consider an imbalanced mixture of two different ultracold Fermi gases, which are strongly interacting. Calling spin-down the minority component and spin-up the majority component, the limit of small relative density $x=n\ds /n\us$ is…

Quantum Gases · Physics 2012-01-05 S. Giraud , R. Combescot

We study the expansion of an interacting atomic system at zero temperature, following its release from an isotropic three-dimensional harmonic trap and calculate the time dependence of its density and momentum distribution, with special…

Quantum Gases · Physics 2016-12-28 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-decay bounds, which reflect energy transport in such systems,…

Analysis of PDEs · Mathematics 2025-04-02 Joseph Kraisler , Amir Sagiv , Michael I. Weinstein

We study the time evolution of a one-dimensional interacting fermion system described by the Luttinger model starting from a nonequilibrium state defined by a smooth temperature profile $T(x)$. As a specific example we consider the case…

Statistical Mechanics · Physics 2017-06-28 Edwin Langmann , Joel L. Lebowitz , Vieri Mastropietro , Per Moosavi

We argue that for Fermi systems on lattices or the continuum with interaction invariant under a kind of Galilei transformation the time evolution is either weakly asymptotically abelian or at least $\eta$-abelian in the tracial state but…

Mathematical Physics · Physics 2024-06-10 Heide Narnhofer

We inspect the initial and the long time evolution of excitations a Fermi liquids by analyzing the time behavior of the electron spectral function. Focusing on the short-time limit we study the electron-boson model for the homogenous…

Strongly Correlated Electrons · Physics 2015-06-12 Y. Pavlyukh , A. Rubio , J. Berakdar

The dynamics of charge carriers in lattices of quantum spins is a long standing and fundamental problem. Recently, a new generation of quantum simulation experiments based on atoms in optical lattices has emerged that gives unprecedented…

Strongly Correlated Electrons · Physics 2022-11-09 Jens H. Nyhegn , Kristian K. Nielsen , Georg M. Bruun

We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary times and initial data, thereby solving an open problem in…

Analysis of PDEs · Mathematics 2023-12-04 Antonín Češík , Giovanni Gravina , Malte Kampschulte

We review the theory of interacting Fermi systems whose low-energy physics is governed by forward scattering, i.e. scattering processes generated by effective interactions with small momentum transfers. These systems include Fermi liquids…

Condensed Matter · Physics 2007-05-23 W. Metzner , C. Castellani , C. Di Castro

In this paper and its sequel, we study non-equilibrium dynamics in driven 1+1D conformal field theories (CFTs) with periodic, quasi-periodic, and random driving. We study a soluble family of drives in which the Hamiltonian only involves the…

Statistical Mechanics · Physics 2021-04-19 Xueda Wen , Ruihua Fan , Ashvin Vishwanath , Yingfei Gu

We study a highly imbalanced Fermi gas in a one-dimensional optical lattice from the polaronic point of view. The time-evolving block decimationg algorithm is used to calculate the ground state and dynamics of the system. We find…

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov
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