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The large majority of topological phases in one dimensional many-body systems are known to inherit from the corresponding single-particle Hamiltonian. In this work, we go beyond this assumption and find a new example of topological order…

Quantum Gases · Physics 2025-03-04 Ashirbad Padhan , Luca Barbiero , Tapan Mishra

Expressions for generalized charge stiffness constant at zero temperature are derived corresponding to low dimensional hole doped quantum antiferromagnets, describable by the t-J-like models, with a view to understanding fermionic pairing…

Strongly Correlated Electrons · Physics 2022-03-10 Suraka Bhattacharjee , Ranjan Chaudhury

Cold-atom experiments which measure Fermi-gas properties near unitarity confine fermionic atoms to a region of space using trapping potentials of various shapes. The presence of a trapping potential introduces a new characteristic physical…

Quantum Gases · Physics 2026-05-29 Silas R. Beane , Adèle Le Borgne , Domenico Orlando , Susanne Reffert

Dynamics of strongly interacting Fermi gases, consisting of a 50-50 mixture of two different fermionic species, is investigated. For the equation of state we consider a Pad\'{e} [2/2] approximations, which gives the weak-coupling…

Other Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

We consider the photoassociation of a low-density gas of quantum-degenerate trapped fermionic atoms into bosonic molecules in a spherically symmetric harmonic potential. For a dilute system and the photoassociation coupling energy small…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Takahiko Miyakawa , Pierre Meystre

We use a BCS-type variational wavefunction to study attractively-interacting quasi one-dimensional (1D) fermionic atomic gases, motivated by cold-atom experiments that access the 1D regime using an anisotropic harmonic trapping potential…

Quantum Gases · Physics 2015-07-16 Stephen Kudla , Dominique M. Gautreau , Daniel E. Sheehy

We consider a system of $N\gg 1$ interacting fermionic particles in three dimensions, confined in a periodic box of volume $1$, in the mean-field scaling. We assume that the interaction potential is bounded and small enough. We prove upper…

Mathematical Physics · Physics 2019-12-10 Christian Hainzl , Marcello Porta , Felix Rexze

The nature of strongly interacting Fermi gases and magnetism is one of the most important and studied topics in condensed-matter physics. Still, there are many open questions. A central issue is under what circumstances strong short-range…

Quantum Gases · Physics 2014-06-05 E. J. Lindgren , J. Rotureau , C. Forssén , A. G. Volosniev , N. T. Zinner

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

Following up on a recent analysis of two cold atoms in a time-dependent harmonic trap in one dimension, we explore the entanglement entropy of two and three fermions in the same situation when driven through a parametric resonance. We find…

Quantum Gases · Physics 2018-04-18 J. R. McKenney , W. J. Porter , J. E. Drut

Confinement is a pivotal phenomenon in numerous models of high-energy and statistical physics. In this study, we investigate the emergence of confined meson excitations within a one-dimensional system, comprising Rydberg-dressed atoms…

Quantum Gases · Physics 2024-09-05 Tharnier O. Puel , Tommaso Macrì

The regions of validity of the Markov approximation for the coupling of atoms out of an atomic trap are determined. We consider radio-frequency output coupling in the presence of gravity and collisional repulsion, and Raman output coupling.…

Statistical Mechanics · Physics 2009-10-31 M. W. Jack , M. Naraschewski , M. J. Collett , D. F. Walls

In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the…

Quantum Gases · Physics 2023-05-03 F Chevy , G Orso

We discuss exact solutions of the Schroedinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the…

Quantum Physics · Physics 2009-11-13 Zbigniew Idziaszek , Tommaso Calarco

We present a theoretical study of the collective excitations of a trapped imbalanced fermion gas at unitarity, when the system consists of a superfluid core and a normal outer shell. We formulate the relevant boundary conditions and treat…

Other Condensed Matter · Physics 2008-04-08 Achilleas Lazarides , Bert Van Schaeybroeck

Compact lattice Quantum Electrodynamics is a complex quantum field theory with dynamical gauge and matter fields and it has similarities with Quantum Chromodynamics, in particular asymptotic freedom and confinement. We consider a…

High Energy Physics - Lattice · Physics 2024-12-11 Arianna Crippa , Karl Jansen , Enrico Rinaldi

We derive a Kondo Lattice model with a correlated conduction band from a two-band Hubbard Hamiltonian. This mapping allows us to describe the emergence of a robust pairing mechanism in a model that only contains repulsive interactions. The…

Strongly Correlated Electrons · Physics 2015-05-13 K. A. Al-Hassanieh , C. D. Batista , P. Sengupta , A. E. Feiguin

We study the energy spectrum and the persistent current in an ideal one-dimensional mesoscopic ring coupled to a fermionic reservoir. We find that the tunnel coupling in general leads to the suppression of the persistent current. However,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bernhard Wunsch , Alexander Chudnovskiy

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the…

Strongly Correlated Electrons · Physics 2009-11-13 L. De Leo , C. Kollath , A. Georges , M. Ferrero , O. Parcollet

We study a strongly attractive system of a few spin-1/2 fermions confined in a one-dimensional harmonic trap, interacting via two-body contact potential. Performing exact diagonalization of the Hamiltonian we analyze the ground state and…

Quantum Gases · Physics 2015-02-02 Tomasz Sowiński , Mariusz Gajda , Kazimierz Rzążewski