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We study measurable quantities of bosonic and fermionic mixtures on a one-dimensional ring. These few-body ensembles consist of majority atoms obeying certain statistics (Fermi or Bose) and an impurity atom in a different hyperfine state.…

Quantum Gases · Physics 2015-05-01 Rafael E. Barfknecht , Ioannis Brouzos , Angela Foerster

Fermi gases with repulsive interactions are characterized by measuring their compressibility as a function of interaction strength. The compressibility is obtained from in-trap density distributions monitored by phase contrast imaging. For…

We report on local measurements of atom number fluctuations in slices of a single 1D Bose gas with repulsive interactions. For weakly interacting gases, the fluctuations are super-Poissonian at intermediate atomic densities and become…

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

We study the canonical problem of a Fermi gas interacting with a weakly repulsive Bose-Einstein condensate at zero temperature. To explore the quantum phases across the full range of boson-fermion interactions, we construct a versatile…

Quantum Gases · Physics 2026-01-21 Sam Foster , Olivier Bleu , Jesper Levinsen , Meera M. Parish

Derivation of effective zero-range one-dimensional (1D) interactions between atoms in tight waveguides is reviewed, as is the Fermi-Bose mapping method for determination of exact and strongly-correlated states of ultracold bosonic and…

Soft Condensed Matter · Physics 2009-11-10 M. D. Girardeau , Hieu Nguyen , M. Olshanii

Due to the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level…

Quantum Gases · Physics 2019-06-26 Quirin Hummel , Juan Diego Urbina , Klaus Richter

We consider two-dimensional weakly-bound heterospecies molecules formed in a Fermi-Bose mixture with attractive Fermi-Bose and repulsive Bose-Bose interactions. Bosonic exchanges lead to an intermolecular attraction, which can be controlled…

Quantum Gases · Physics 2019-01-01 Betzalel Bazak , Dmitry S. Petrov

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

We give a brief overview of recent studies of weakly bound homonuclear molecules in ultracold two-component Fermi gases. It is emphasized that they represent novel composite bosons, which exhibit features of Fermi statistics at short…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We study the phase diagram of the one-dimensional Bose-Fermi-Hubbard model at unit filling for the scalar bosons and half filling for the $S=1/2$ fermions using quantum Monte Carlo simulations. The bare interaction between the fermions is…

Quantum Gases · Physics 2023-02-22 Janik Schönmeier-Kromer , Lode Pollet

Ultracold Fermi gases with tuneable interactions represent a unique test bed to explore the many-body physics of strongly interacting quantum systems. In the past decade, experiments have investigated a wealth of intriguing phenomena, and…

We theoretically analyze interference patterns of parametrically driven one dimensional ultracold atomic gases. By modulating the interaction strength periodically in time, we propose to excite collective modes in a pair of independent one…

Quantum Gases · Physics 2011-02-03 Susanne Pielawa

In one dimension, the study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenberg model that describes quantum behaviour in magnetic systems. In the last decade, one-dimensional systems have become…

Quantum Gases · Physics 2015-05-26 A. G. Volosniev , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

We consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor $\nu =1.$ We project the system in the Lowest Landau Level and map the dynamics into an interacting Fermion system. We…

Condensed Matter · Physics 2007-05-23 V. Pasquier

We consider the single particle correlations and momentum distributions in a gas of strongly interacting spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of…

Other Condensed Matter · Physics 2009-11-10 Scott A. Bender , Kevin D. Erker , Brian E. Granger

We solve the three-boson problem with contact two- and three-body interactions in one dimension and analytically calculate the ground and excited trimer-state energies. Then, by using the diffusion Monte Carlo technique we calculate the…

Quantum Gases · Physics 2018-06-20 G. Guijarro , A. Pricoupenko , G. E. Astrakharchik , J. Boronat , D. S. Petrov

We numerically evaluate the density distribution of a spin-1 bosonic condensate in its ground state within a modifed Gross-Pitaevskii theory, which is obtained by the combination of the exact solution of the corresponding integrable model…

Strongly Correlated Electrons · Physics 2007-05-23 Yajiang Hao , Yunbo Zhang , J. Q. Liang , Shu Chen

We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized Rb-K gases with tunable interspecies interactions. By combining analytical perturbation theory…

Quantum Gases · Physics 2013-03-26 M. Dalmonte , E. Ercolessi , M. Mattioli , F. Ortolani , D. Vodola

We consider a model of Fermi-Bose mixture with strong hard-core repulsion between particles of the same sort and attraction between particles of different sorts. In this case, besides the standard anomalous averages of the type $<b>$;…

Strongly Correlated Electrons · Physics 2016-08-16 M. Yu. Kagan , I. V. Brodsky , D. V. Efremov , A. V. Klaptsov
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