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We investigate degenerate quantum gases in one dimension trapped in a harmonic potential that is split in the centre by a pointlike potential. Since the single particle eigenfunctions of such a system are known for all strengths of the…

Condensed Matter · Physics 2009-11-10 Th. Busch , G. Huyet

The spectra of low-lying pair excitations for an imbalanced two-component superfluid Fermi gas are analytically derived within the path-integral formalism taking into account Gaussian fluctuations about the saddle point. The spectra are…

Quantum Gases · Physics 2012-07-23 S. N. Klimin , J. Tempere , Jeroen P. A. Devreese

Motivated by the prospect of optical lattice experiments with two-component Fermi gases consisting of different atomic species such as Li and K, we calculate the energies for N fermions under harmonic confinement as a function of the mass-…

Other Condensed Matter · Physics 2009-11-13 D. Blume

The paper is devoted to the effects of superconducting pairing in small metallic grains. It turns out that at strong superconducting coupling and in the limit of large Thouless conductance one can explicitly determine the low energy…

Strongly Correlated Electrons · Physics 2009-02-06 Emil A. Yuzbashyan , Alexander A. Baytin , Boris L. Altshuler

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

In many-body systems governed by pairwise contact interactions, a wide range of observables is linked by a single parameter, the two-body contact, which quantifies two-particle correlations. This profound insight has transformed our…

A microscopic approach is developed to determine the excitation energetics of highly correlated quasi-particles in optically excited semiconductors based entirely on a pair-correlation function input. For this purpose, the Wannier equation…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 M. Mootz , M. Kira , S. W. Koch

We consider a system of three particles, either three identical bosons or two identical fermions plus an impurity, within a three-dimensional isotropic trap interacting via a contact interaction. Using two approaches, one using an infinite…

Quantum Gases · Physics 2024-05-03 A. D. Kerin , A. M. Martin

The attractive Fermi-Hubbard model stands out as a simple model for studying the pairing and superconductivity of fermions on a lattice. In this article, we apply several many-body theories in the three-dimensional attractive Hubbard model.…

Strongly Correlated Electrons · Physics 2025-02-18 Junnian Xiong , Hui Li , Yingze Su , Dingping Li

We theoretically investigate the spin-dipole oscillation of a strongly interacting Fermi gas in a harmonic trap. By using a combined diagrammatic strong-coupling theory with a local density approximation and a sum rule approach, we clarify…

Quantum Gases · Physics 2020-01-22 Hiroyuki Tajima , Alessio Recati , Yoji Ohashi

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

We study the collective excitation of a gas of highly excited atoms confined to a large spacing ring lattice, where the ground and the excited states are coupled resonantly via a laser field. Our attention is focused on the regime where the…

Quantum Physics · Physics 2015-05-14 B. Olmos , R. González-Férez , I. Lesanovsky

Recent breakthroughs in the creation of ultra-cold atomic gases in the laboratory have ushered in major changes in physical science. Many novel experiments are now possible, with an unprecedented control of interaction, geometry and purity.…

Quantum Gases · Physics 2014-11-13 Hui Hu

A recently developed lattice method for large numbers of strongly interacting nonrelativistic fermions exhibits a heavy tail in the distributions of correlators for large Euclidean time {\tau} and large number of fermions N, which only…

High Energy Physics - Lattice · Physics 2015-03-19 Jong-Wan Lee , Michael G. Endres , David B. Kaplan , Amy N. Nicholson

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a…

Quantum Gases · Physics 2016-11-16 N. Matveeva , G. E. Astrakharchik

We report on the experimental realization of homogeneous two-dimensional (2D) Fermi gases trapped in a box potential. In contrast to harmonically trapped gases, these homogeneous 2D systems are ideally suited to probe local as well as…

Quantum Gases · Physics 2018-04-19 Klaus Hueck , Niclas Luick , Lennart Sobirey , Jonas Siegl , Thomas Lompe , Henning Moritz

Entanglement is typically created via systematic intervention in the time evolution of an initially unentangled state, which can be achieved by coherent control, carefully tailored non-demolition measurements, or dissipation in the presence…

Quantum Gases · Physics 2015-06-05 Michael Foss-Feig , Andrew J. Daley , James K. Thompson , Ana Maria Rey

In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground state energy of the relative motion of a system of two fermions with spin up and down interacting via a delta-function potential in a…

Quantum Gases · Physics 2012-11-06 D. Rubeni , A. Foerster , I. Roditi

It is suggested that for a fermi gas at unitarity, the two-body bond plays a special role. We propose an equation of state using an ansatz relating the interaction part of the $l$-body cluster to its two-body counterpart. This allows a…

Statistical Mechanics · Physics 2015-06-04 R. K. Bhaduri , W. van Dijk , M. V. N. Murthy

We investigate strongly correlated many-body systems composed of bosons and fermions with a fully quantum treatment using the path-integral ground state method, PIGS. To account for the Fermi-Dirac statistics, we implement the fixed-node…

Quantum Gases · Physics 2023-05-10 Sebastian Ujevick , V. Zampronio , B. R. de Abreu , S. A. Vitiello
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