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A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

Other Condensed Matter · Physics 2007-05-23 R. J. Magyar , K. Burke

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

We study an interacting one-dimensional gas of spin-1/2 fermions with two-body losses. The dynamical phase diagram that characterises the approach to the stationary state displays a wide quantum-Zeno region, identified by a peculiar…

Quantum Gases · Physics 2023-01-19 Lorenzo Rosso , Alberto Biella , Jacopo De Nardis , Leonardo Mazza

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

The composite particle duality extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond 2+1D. It constitutes an exact correspondence that can be understood either as a theoretical framework or…

Strongly Correlated Electrons · Physics 2024-10-29 Gerard Valentí-Rojas , Joel Priestley , Patrik Öhberg

We use a time-dependent dynamical mean-field-hydrodynamic model to study the formation of fermionic bright solitons in a trapped degenerate Fermi gas mixed with a Bose-Einstein condensate in a quasi-one-dimensional cigar-shaped geometry.…

Other Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava

We consider the thermoelectric properties of the mixed-dimensional quantum electrodynamics of the relativistic Dirac fermion and Wilson-Fisher boson. These models are self-dual, and can form non-trivial many-body phases depending on the…

Strongly Correlated Electrons · Physics 2021-12-08 Wei-Han Hsiao

We study a Fermi gas with strong, tunable interactions dispersively coupled to a high-finesse cavity. Upon probing the system along the cavity axis, we observe a strong optomechanical Kerr nonlinearity originating from the density response…

We calculate the asymptotic behaviour of correlation functions as a function of the microscopic parameters for a Bose-Fermi mixture with repulsive interaction in one dimension. For two cases, namely polarized and unpolarized fermions the…

Strongly Correlated Electrons · Physics 2007-05-23 Holger Frahm , Guillaume Palacios

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We explore theoretically the optomechanical interaction between a light field and a mechanical mode of ultracold fermionic atoms inside a Fabry-P\'{e}rot cavity. The low-lying phonon mode of the fermionic ensemble is a collective density…

Quantum Physics · Physics 2010-02-09 R. Kanamoto , P. Meystre

We analyse the discrete-time dynamics of a model of non-interacting fermions coupled to an infinite reservoir formed by a bosonic quantum walk on ${\mathbb Z}$. This dynamics consists of consecutive applications of free evolutions of the…

Mathematical Physics · Physics 2025-07-21 Olivier Bourget , Alain Joye , Dominique Spehner

The equation of motion for the two-fermion two-time correlation function in the pairing channel is considered at finite temperature. Within the Matsubara formalism, the Dyson-type Bethe-Salpeter equation (Dyson-BSE) with the…

Nuclear Theory · Physics 2021-11-10 Elena Litvinova , Peter Schuck

As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or…

Condensed Matter · Physics 2007-05-23 M. Sassetti , H. Schomerus , U. Weiss

In this study, we conducted a detailed investigation into the time evolution of the probability density within a 1D double-well potential hosting a Bose-Fermi mixture. This system comprised spinless bosons and spin one-half fermions with…

Quantum Gases · Physics 2023-11-07 Avella Richard , Grajales Diana , Rubio Juan Pablo

We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons in the presence of a hard-wall confining potential. We characterise the density profile and the two-point fermionic correlation function in the…

Quantum Gases · Physics 2014-11-17 Paolo P. Mazza , Mario Collura , Márton Kormos , Pasquale Calabrese

We study systems of two identical dipolar particles confined in quasi one-dimensional harmonic traps. Numerical results for the dependencies of the entanglement on the control parameters of the systems are provided and discussed in detail.…

Quantum Physics · Physics 2020-01-07 Przemyslaw Koscik

We derive the two-dimensional equation of state for a bosonic system of ultracold atoms interacting with a finite-range effective interaction. Within a functional integration approach, we employ an hydrodynamic parametrization of the…

Quantum Gases · Physics 2019-02-14 Andrea Tononi

A system of two-species, one-dimensional fermions, with an attractive two-body interaction of the derivative-delta type, features a scale anomaly. In contrast to the well-known two-dimensional case with contact interactions, and its…