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We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such…

Statistical Mechanics · Physics 2013-02-08 Marcos Rigol

We investigate the statics and dynamics of spatial phase segregation process of a mixture of fermion atoms in a harmonic trap using the density functional theory. The kinetic energy of the fermion gas is written in terms of the density and…

Atomic and Molecular Clusters · Physics 2009-11-07 K. Esfarjani , S. T. Chui , V. Kumar , Y. Kawazoe

We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle-hole pair excitations on…

Mathematical Physics · Physics 2022-07-07 Niels Benedikter , Phan Thành Nam , Marcello Porta , Benjamin Schlein , Robert Seiringer

We develop an exact approach to study the quench dynamics of hard-core bosons initially in thermal equilibrium in one-dimensional lattices. This approach is used to study the sudden expansion of thermal states after confining potentials are…

Quantum Gases · Physics 2018-01-23 Wei Xu , Marcos Rigol

We study dynamical fermion mass generation in (2+1)-dimensional quantum electrodynamics with a gauge field coupling to massless Dirac fermions and non-relativistic scalar bosons. We calculate the fermion velocity renormalization and then…

Superconductivity · Physics 2015-12-08 Hao-Ran Chang , Jing-Rong Wang , Jing Wang

This work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive fermion-mediated interaction between bosons, as…

Mathematical Physics · Physics 2025-12-05 Esteban Cárdenas , Joseph K. Miller , David Mitrouskas , Nataša Pavlović

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

For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the one-body density matrix $\rho_B$ in terms of centre of mass and relative…

Atomic Physics · Physics 2021-04-15 K. Bencheikh , L. M. Nieto , L. U. Ancarani

A time-dependent Kohn-Sham scheme for 1D bosons with contact interaction is derived based on a model of spinor fermions. This model is specifically designed for the study of the strong interaction regime close to the Tonks gas. It allows us…

Soft Condensed Matter · Physics 2007-05-23 Joachim Brand

It was recently argued that one-dimensional systems of several strongly interacting fermions of different mass undergo critical transitions between different spatial orderings when the external confinement adiabatically changes its shape.…

Quantum Gases · Physics 2021-11-22 Damian Włodzyński , Tomasz Sowiński

We demonstrate that the quantum dynamics of a many-body Fermi-Bose system can be simulated using a Gaussian phase-space representation method. In particular, we consider the application of the mixed fermion-boson model to ultracold quantum…

Quantum Gases · Physics 2015-03-13 M. Ogren , K. V. Kheruntsyan , J. F. Corney

We investigate the response of harmonically confined bosons with contact interactions (trapped Lieb-Liniger gas) to modulations of the trapping strength. We explain the structure of resonances at a series of driving frequencies, where size…

Quantum Gases · Physics 2014-11-11 Eoin Quinn , Masudul Haque

We study the out-of-equilibrium dynamics of a finite-temperature harmonically trapped Tonks-Girardeau gas induced by periodic modulation of the trap frequency. We give explicit exact solutions for the real-space density and momentum…

Quantum Gases · Physics 2019-10-09 Y. Y. Atas , S. A. Simmons , K. V. Kheruntsyan

In this paper we study the dynamics of Tonks-Girardeau (TG) gases in a harmonic potential driven by Gaussian pulse, which is a correspondence of the excitation dynamics of electrons in matters driven by ultrashort laser pulse. The evolving…

Quantum Gases · Physics 2024-11-22 Jia Li , Yajiang Hao

In one-dimensional (1D) quantum gases, the momentum distribution (MD) of the atoms is a standard experimental observable, routinely measured in various experimental setups. The MD is sensitive to correlations, and it is notoriously hard to…

Statistical Mechanics · Physics 2023-08-04 Stefano Scopa , Paola Ruggiero , Pasquale Calabrese , Jerôme Dubail

Anyons are low-dimensional quasiparticles that obey fractional statistics, hence interpolating between bosons and fermions. In two dimensions, they exist as elementary excitations of fractional quantum Hall states and they are believed to…

We study the dissipative dynamics of one-dimensional fermions, described in terms of the sine-Gordon model in its free massive boson or semi-classical limit, while keeping track of forward scattering processes. The system is prepared in the…

Strongly Correlated Electrons · Physics 2022-02-22 Á. Bácsi , C. P. Moca , G. Zaránd , B. Dóra

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

Quantum Gases · Physics 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

We study a one-dimensional system of strongly interacting anyons with short-range interactions under external confinement. This system, referred to as $p$-wave anyons, interpolates continuously between spin-polarized fermions with $p$-wave…

Quantum Gases · Physics 2025-12-16 Ovidiu I. Patu