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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

Conformal dynamics can appear in quantum gases when the interactions are fine tuned to be scale symmetric. One well-known example of such a system is a three-dimensional Fermi gas at a Feshbach resonance. In this letter, we illustrate how…

Quantum Gases · Physics 2024-05-20 Jeff Maki , Fei Zhou

We describe the dynamics of two component non-interacting ultracold Fermions which are initially in thermal equilibrium and undergo a rapid quench to either the repulsive or attractive side of a Feshbach resonance. The short time dynamics…

Quantum Gases · Physics 2009-10-20 Mehrtash Babadi , David Pekker , Rajdeep Sensarma , Antoine Georges , Eugene Demler

We propose and analyze a variational wave function for a population-imbalanced one-dimensional Fermi gas that allows for Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type pairing correlations among the two fermion species, while also accounting…

Quantum Gases · Physics 2017-07-05 Kelly R. Patton , Dominique M. Gautreau , Stephen Kudla , Daniel E. Sheehy

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

This review article gives an overview of recent progress in the field of non-equilibrium phase transitions into absorbing states with long-range interactions. It focuses on two possible types of long-range interactions. The first one is to…

Statistical Mechanics · Physics 2007-12-05 Haye Hinrichsen

We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally interact with their neighbors by choosing…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , H. Eugene Stanley , Tamas Vicsek

We investigate the stability of spatially uniform solutions for the collisionless dynamics of a fermionic superfluid. We demonstrate that, if the system size is larger than the superfluid coherence length, the solution characterized by a…

Superconductivity · Physics 2009-11-13 M. Dzero , E. A. Yuzbashyan , B. L. Altshuler

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

We use renormalization group (RG) analysis and dimensional regularization techniques to study potential superconductivity-inducing four-fermion interactions in systems with critical Fermi surfaces of general dimensions ($m$) and…

Strongly Correlated Electrons · Physics 2024-03-01 Ipsita Mandal

Equilibration of an isolated Fermi gas in one spatial dimension after an interaction quench is studied. Evaluating Kadanoff-Beym dynamic equations for correlation functions obtained from the two-particle-irreducible effective action in…

Quantum Gases · Physics 2010-06-18 Matthias Kronenwett , Thomas Gasenzer

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

We consider two mutually interacting fermionic particle species on a one-dimensional lattice and study how the mass ratio $\eta$ between the two species affects the (equilibration) dynamics of the particles. Focussing on the regime of…

Strongly Correlated Electrons · Physics 2020-07-27 Tjark Heitmann , Jonas Richter , Thomas Dahm , Robin Steinigeweg

Quantum transport in a non-equilibrium setting plays a fundamental role in understanding the properties of systems ranging from quantum devices to biological systems. Dephasing -- a key aspect of out-of-equilibrium systems -- arises from…

Quantum Physics · Physics 2024-04-15 Subhajit Sarkar , Bijay Kumar Agarwalla , Devendra Singh Bhakuni

The emergence of quantum chaos for interacting Fermi systems is investigated by numerical calculation of the level spacing distribution $P(s)$ as function of interaction strength $U$ and the excitation energy $\epsilon$ above the Fermi…

Strongly Correlated Electrons · Physics 2009-10-31 Pil Hun Song

We investigate the laser-induced dynamics of electronically driven charge-density-wave order. A comprehensive mean-field analysis of the attractive Hubbard model in the weak-coupling regime reveals ultrafast switching and ultrafast melting…

Strongly Correlated Electrons · Physics 2018-04-25 Michael Schüler , Yuta Murakami , Philipp Werner

The nonequilibrium dynamics of strongly-correlated fermions in lattice systems have attracted considerable interest in the condensed matter and ultracold atomic-gas communities. While experiments have made remarkable progress in recent…

Strongly Correlated Electrons · Physics 2017-05-03 N. Schluenzen , J. -P. Joost , F. Heidrich-Meisner , M. Bonitz

Two-dimensional Fermi gases with universal short-range interactions are known to exhibit a quantum anomaly, where a classical scale and conformal invariance is broken by quantum effects at strong coupling. We argue that in a quasi…

Quantum Gases · Physics 2022-05-24 Viktor Bekassy , Johannes Hofmann

We study the off-equilibrium behavior of systems with short-range interactions driven across a thermal first-order transition, where the dynamics is exponentially slow. We consider a dynamics that starts in the high-T phase at time t =…

Statistical Mechanics · Physics 2017-01-25 Andrea Pelissetto , Ettore Vicari