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We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on…

统计力学 · 物理学 2022-09-07 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolás Nessi

We study a classical integrable (Neumann) model describing the motion of a particle on the sphere, subject to harmonic forces. We tackle the problem in the infinite dimensional limit by introducing a soft version in which the spherical…

统计力学 · 物理学 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

We calculate the excitation spectrum of a one-dimensional self-bound quantum droplet in a two-component bosonic mixture described by the Gross-Pitaevskii equation (GPE) with cubic and quadratic nonlinearities. The cubic term originates from…

量子气体 · 物理学 2020-06-01 Marek Tylutki , Grigori E. Astrakharchik , Boris A. Malomed , Dmitry S. Petrov

The low energy excitation spectrum of a two-dimensional ferromagnetic material is dominated by single-magnon excitations that show a gapless parabolic dispersion relation with the spin wave vector. This occurs as long as magnetic anisotropy…

介观与纳米尺度物理 · 物理学 2023-10-25 F. Delgado , M. M. Otrokov , A. Arnau

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set…

介观与纳米尺度物理 · 物理学 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi

We investigate work extraction from integrable quantum systems under unitary operations. As a model system, we consider non-interacting fermions in one dimension. Thanks to its integrability, this system does not thermalize after a…

量子气体 · 物理学 2017-08-09 Wouter Verstraelen , Dries Sels , Michiel Wouters

We investigate the modular properties of Generalised Gibbs Ensembles (GGEs) in two dimensional conformal field theories. These are obtained by inserting higher spin charges in the expressions for the partition function of the theory. We…

高能物理 - 理论 · 物理学 2025-03-12 Max Downing , Faisal Karimi

We study the distribution of particle number in extended subsystems of a one-dimensional non-interacting Fermi gas confined in a potential well at zero temperature. Universal features are identified in the scaled bulk and edge regions of…

统计力学 · 物理学 2013-08-28 Viktor Eisler

We establish a relation between two hallmarks of integrable systems: the relaxation towards the generalized Gibbs ensemble (GGE) and the dissipationless charge transport. We show that the former one is possible only if the so called Mazur…

强关联电子 · 物理学 2014-07-16 Marcin Mierzejewski , Peter Prelovsek , Tomaz Prosen

We investigate the spectral properties of all-to-all interacting spin Hamiltonians acting on exactly $k$ spins, whose coupling coefficients are drawn from a normal distribution with mean $\mu$ and variance $\sigma^2$. For $\mu = 0$, we…

量子物理 · 物理学 2026-01-09 Sasanka Dowarah

The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a…

统计力学 · 物理学 2017-06-13 Laura Foini , Andrea Gambassi , Robert Konik , Leticia F. Cugliandolo

The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe observables in isolated integrable quantum systems after equilibration. Since then, the GGE has been demonstrated to be a powerful tool to predict the outcome of…

统计力学 · 物理学 2016-06-29 Lev Vidmar , Marcos Rigol

In this work we study the properties of the density density correlation function of the 1-D Lieb-Liniger model with infinite repulsion in the GGE regime. The GGE describes the equilibrated system in the long time limit after a quench from a…

量子气体 · 物理学 2014-06-18 Garry Goldstein , Natan Andrei

In non-interacting isolated quantum systems out of equilibrium, local subsystems typically relax to non-thermal stationary states. In the standard framework, information on the rest of the system is discarded, and such states are described…

量子物理 · 物理学 2023-03-23 Maxime Lucas , Lorenzo Piroli , Jacopo De Nardis , Andrea De Luca

We consider a gas of fermions with a short-range attractive intercomponent interaction in a parabolic external potential and derive the conditions of the local density approximation. The obtained spectrum of quasiparticle (isospin)…

强关联电子 · 物理学 2011-11-10 M. Colomé-Tatché , G. V. Shlyapnikov , A. M. Tsvelik

The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable…

统计力学 · 物理学 2020-03-04 György Z. Fehér , Balázs Pozsgay

Some magnets due to particular geometry of the exchange bonds do not undergo transition to the conventional magnetically ordered state despite of the presence of significant exchange couplings. Instead, a collective paramagnetic state is…

强关联电子 · 物理学 2020-11-06 V. N. Glazkov

We consider a generalized chiral Gaussian Unitary Ensemble (chGUE) based on a weak confining potential. We study the spectral correlations close to the origin in the thermodynamic limit. We show that for eigenvalues separated up to the mean…

无序系统与神经网络 · 物理学 2009-11-07 Antonio M. Garcia-Garcia

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

统计力学 · 物理学 2009-10-31 Peter Szepfalusy , Gergely Szirmai

Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

量子物理 · 物理学 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi
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