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In one dimensional quantum gases there is a well known "duality" between hard core bosons and non-interacting fermions. However, at the field theory level, no exact duality connecting strongly interacting bosons to weakly interacting…

Quantum Physics · Physics 2022-01-14 Etienne Granet , Bruno Bertini , Fabian H. L. Essler

We present a semi-analytical approach for studying quantum thermal energy transport beyond the weak system-bath coupling regime. Our treatment, which results in a renormalized, effective Hamiltonian model is based on the reaction coordinate…

Quantum Physics · Physics 2021-07-07 Nicholas Anto-Sztrikacs , Dvira Segal

Both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. In an Anderson box, mesoscopic fluctuations of the effective single particle…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Dong E. Liu , Sébastien Burdin , Harold U. Baranger , Denis Ullmo

Diffusion of a particle passing over the saddle point of a two-dimensional quadratic potential is studied via a set of coupled Langevin equations and the expression for the passing probability is obtained exactly. The passing probability is…

Statistical Mechanics · Physics 2009-11-13 Chun-Yang Wang , Ying Jia , Jing-Dong Bao

We study the collective association dynamics of a cold Fermi gas of $2N$ atoms in $M$ atomic modes into a single molecular bosonic mode. The many-body fermionic problem for $2^M$ amplitudes is effectively reduced to a dynamical system of…

Soft Condensed Matter · Physics 2015-06-24 I. Tikhonenkov , A. Vardi

Thermalization of a system in the presence of a heat bath has been the subject of many theoretical investigations especially in the framework of solid-state physics. In this setting, the presence of a large bandwidth for the frequency…

Statistical Mechanics · Physics 2015-10-09 Roberto Onofrio , Bala Sundaram

We derive the exact form of the bosonized Hamiltonian for a many-body fermion system in one spatial dimension with arbitrary dispersion relations, using the droplet bosonization method. For a single-particle Hamiltonian polynomial in the…

High Energy Physics - Theory · Physics 2020-03-06 Dimitra Karabali , Alexios P. Polychronakos

The quantum dynamics of a low-dimensional system in contact with a large but finite harmonic bath is theoretically investigated by coarse-graining the bath into a reduced set of effective energy states. In this model, the couplings between…

Chemical Physics · Physics 2024-01-29 Loïse Attal , Cyril Falvo , Florent Calvo , Pascal Parneix

The compressibility, zero sound dispersion, and effective mass of a gas of fermionic dipolar molecules is calculated at finite temperature for one-, two-, and three-dimensional uniform systems, and in a multilayer quasi-two-dimensional…

Quantum Physics · Physics 2010-09-15 J. P. Kestner , S. Das Sarma

Self similarity allows for analytic or semi-analytic solutions to many hydrodynamics problems. Most of these solutions are one dimensional. Using linear perturbation theory, expanded around such a one-dimensional solution, we find…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Re'em Sari , J. Nate Bode , Almog Yalinewich , Andrew MacFadyen

Motivated by the phenomenology of the high-Tc cuprates, a two dimensional fermionic model with attractive interactions is here discussed. The exact solution to the two particle problem leads to a bound state in the $d_{x^2 - y^2}$ subspace.…

Condensed Matter · Physics 2008-02-03 Alexander Nazarenko , Adriana Moreo , Jose Riera , Elbio Dagotto

We investigate the applicability of machine learning techniques in studying the finite-size effects associated with many-body physics. These techniques have an emerging presence in many-body theory as they have been used for interpolations,…

Nuclear Theory · Physics 2021-11-08 Nawar Ismail , Alexandros Gezerlis

We investigate the effect of hole doping on the strong-coupling Hubbard model at half-filling in spatial dimensions $D\ge 1$. We start with an antiferromagnetic mean-field description of the insulating state, and show that doping creates…

Condensed Matter · Physics 2009-10-28 Junwu Gan , Dung-Hai Lee , Per Hedegard

We present a holographic description of the thermal behavior of $ b \bar b$ heavy vector mesons inside a plasma at finite temperature and density. The meson dissociation in the medium is represented by the decrease in the height of the…

High Energy Physics - Phenomenology · Physics 2017-10-10 Nelson R. F. Braga , Luiz F. Ferreira

Pairing between fermions that attract each other, reveal itself to the macroscopic world in the form of superfluidity. Since the discovery of fermionic superfluidity, intense search has been going on to find various unconventional forms of…

Quantum Gases · Physics 2009-06-12 O. Dutta , M. Lewenstein

A model of weakly interacting hole quasiparticles is proposed to describe the normal state of the high temperature superconductors. The effect of strong correlations is contained in the dispersion relation of the holes, which is obtained…

Condensed Matter · Physics 2007-05-23 Elbio Dagotto , Alexander Nazarenko , Massimo Boninsegni

Implementing an improved method for analytic continuation and working with imaginary-time correlation functions computed using quantum Monte Carlo simulations, we resolve the single-particle dispersion relation and the density of states…

Strongly Correlated Electrons · Physics 2025-08-08 Gabe Schumm , Shiwei Zhang , Anders W. Sandvik

We propose a minimal theoretical model for the description of a two-dimensional (2D) strongly interacting Fermi gas confined transversely in a tight harmonic potential, and present accurate predictions for its equation of state and…

Quantum Gases · Physics 2020-04-22 Fan Wu , Jianshen Hu , Lianyi He , Xia-Ji Liu , Hui Hu

Using solutions of the discrete Bethe ansatz equations, we study in detail the quantum impurity problem of a spin-down fermion immersed into a fully ploarized spin-up Fermi sea with weak attraction. We prove that this impurity fermion in…

Quantum Gases · Physics 2012-02-15 Xi-Wen Guan

We systematically study the nuclear level densities of superheavy nuclei, including odd systems, using the single-particle energies obtained with the Woods-Saxon potential diagonalization. Minimization over many deformation parameters for…

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