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We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

Two atoms in an ultracold gas are correlated at short inter-atomic distances due to threshold effects where the potential energy of their interaction dominates the kinetic energy. The correlations manifest themselves in a distinct nodal…

Atomic Physics · Physics 2011-04-15 Christiane P. Koch , Ronnie Kosloff

Polaron, a typical quasi-particle that describes a single impurity dressed with surrounding environment, serves as an ideal platform for bridging few- and many-body physics. In particular, different few-body correlations can compete with…

Quantum Gases · Physics 2024-10-29 Ruijin Liu , Xiaoling Cui

We have studied quasi one-dimensional few-particle systems consisting of one to six ultracold fermionic atoms in two different spin states with attractive interactions. We probe the system by deforming the trapping potential and by…

Quantum Gases · Physics 2015-10-08 G. Zürn , A. N. Wenz , S. Murmann , A. Bergschneider , T. Lompe , S. Jochim

Many-body systems undergoing quantum phase transitions reveal substantial growth of non-classical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy.…

Quantum Gases · Physics 2020-02-12 Damian Włodzyński , Daniel Pęcak , Tomasz Sowiński

We study the correlation properties of the ground states of few ultracold bosons, trapped in double wells of varying barrier height in one dimension. Extending previous results on the signature of the transition from a Bose-condensed state…

Other Condensed Matter · Physics 2007-05-23 Sascha Zöllner , Hans-Dieter Meyer , Peter Schmelcher

We consider the possible mechanical instability of an ultracold Fermi gas due to the attractive interactions between fermions of different species. We investigate how the instability, predicted by a mean field calculation for an homogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. Leyronas , R. Combescot

Quasi-one-dimensional (quasi-1d) two-component Fermi gases with effectively attractive and repulsive interactions are characterized for arbitrary interaction strength. The ground-state properties of the gas confined in highly elongated…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , D. Blume , S. Giorgini , L. P. Pitaevskii

Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed analytically using a solvable model, the harmonic-interaction model for Bose-Fermi mixtures. The one-particle and two-particle densities,…

Quantum Gases · Physics 2024-12-03 Ofir E. Alon , Lorenz S. Cederbaum

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

We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite…

Quantum Gases · Physics 2021-03-24 Maxim Pyzh , Kevin Keiler , Simeon I. Mistakidis , Peter Schmelcher

It is shown that the two-body character of the interaction in a many-body system gives rise to specific correlations between the components of compound states, even if this interaction is completely random. Surprisingly, these correlations…

Condensed Matter · Physics 2009-10-28 V. V. Flambaum , G. F. Gribakin , F. M. Izrailev

We investigate low-density, quantum-degenerate gases in the presence of a localised attractive potential in the centre of a one-dimensional harmonic trap.The attractive potential is modelled using a parameterised delta-function, allowing us…

Quantum Physics · Physics 2008-06-30 J. Goold , D. O Donoghue , Th. Busch

We numerically determine the very rich phase diagram of mass-imbalanced binary mixtures of hardcore bosons (or equivalently -- fermions, or hardcore-Bose/Fermi mixtures) loaded in one-dimensional optical lattices. Focusing on commensurate…

Strongly Correlated Electrons · Physics 2013-05-16 Tommaso Roscilde , Cristian Degli Esposti Boschi , Marcello Dalmonte

We consider a trapped atomic ensemble of interacting bosons in the presence of a single trapped ion in a quasi one dimensional geometry. Our study is carried out by means of the newly developed multilayer-multiconfiguration time-dependent…

Quantum Gases · Physics 2015-04-14 J. M. Schurer , P. Schmelcher , A. Negretti

The ground-state properties of a few spin-1/2 fermions with different masses and interacting via short-range contact forces are studied within an exact diagonalization approach. It is shown that, depending on the shape of the external…

Quantum Gases · Physics 2016-10-21 Daniel Pęcak , Tomasz Sowiński

Fermionic (atomic nuclei) and bosonic (correlated atoms in a trap) systems are studied from an information-theoretic point of view. Shannon and Onicescu information measures are calculated for the above systems comparing correlated and…

Quantum Physics · Physics 2016-09-08 Ch. C. Moustakidis , K. Ch. Chatzisavvas , C. P. Panos

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

We investigate the ground state of one-dimensional few-atom Bose-Bose mixtures under harmonic confinement throughout the crossover from weak to strong inter-species attraction. The calculations are based on the numerically exact…

Other Condensed Matter · Physics 2009-07-06 Emmerich Tempfli , Sascha Zöllner , Peter Schmelcher

Ultracold atomic physics offers myriad possibilities to study strongly correlated many-body systems in lower dimensions. Typically, only ground state phases are accessible. Using a tunable quantum gas of bosonic cesium atoms, we realize and…