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We present an exact numerical study of the scaling of density and momentum distribution functions of harmonically trapped one-dimensional bosons with repulsive contact interactions at zero and finite temperatures. We use path integral…

Quantum Gases · Physics 2016-09-05 Wei Xu , Marcos Rigol

We show that strong inelastic interactions between bosons in one dimension create a Tonks-Girardeau gas, much as in the case of elastic interactions. We derive a Markovian master equation that describes the loss caused by the inelastic…

Other Condensed Matter · Physics 2009-02-11 S. Dürr , J. J. Garcia-Ripoll , N. Syassen , D. M. Bauer , M. Lettner , J. I. Cirac , G. Rempe

The time-evolution of few number of interacting, harmonically confined one-dimensional bosons is numerically obtained for arbitrary two-body $\delta-$potential interaction strengths. It is demonstrated that the period of the motion in a…

Quantum Gases · Physics 2019-04-08 D. Efe Gökmen , M. Cemal Yalabik

A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal…

Quantum Gases · Physics 2015-05-20 Igor E. Mazets

We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function,…

Other Condensed Matter · Physics 2007-05-23 Frank Deuretzbacher , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We derive exact closed form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result we obtain the high-p asymptotics of the momentum…

Condensed Matter · Physics 2009-11-07 Maxim Olshanii , Vanja Dunjko

Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped one-dimensional gas of classical particles interacting via a finite-range repulsive force of tunable strength. We…

Statistical Mechanics · Physics 2018-08-01 Zhiyu Dong , R. Moessner , Masudul Haque

After release from the trap the momentum distribution of an impenetrable gas asymptotically approaches that of a spinless noninteracting Fermi gas in the initial trap. This phenomenon is called dynamical fermionization and, very recently,…

Quantum Gases · Physics 2022-06-13 Ovidiu I. Patu

We calculate the dynamic structure factor S(q,omega) of a one-dimensional (1D) interacting Bose gas confined in a harmonic trap. The effective interaction depends on the strength of the confinement enforcing the 1D motion of atoms;…

Quantum Gases · Physics 2015-05-13 Vitaly N. Golovach , Anna Minguzzi , Leonid I. Glazman

We investigate the response to superlattice modulation of a bosonic quantum gas confined to arrays of tubes emulating the one-dimensional Bose-Hubbard model. We demonstrate, using both time-dependent density matrix renormalization group and…

Quantum Gases · Physics 2018-09-19 Karla Loida , Jean-Sebastien Bernier , Roberta Citro , Edmond Orignac , Corinna Kollath

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

We investigate the excitation properties of finite utracold bosonic systems in a one-dimensional harmonic trap with a time-dependent interaction strength. The driving of the interatomic coupling induces excitations of the relative motion…

Quantum Gases · Physics 2015-06-03 Ioannis Brouzos , Peter Schmelcher

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

Quantum Gases · Physics 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

A one-dimensional system of two trapped bosons which interact through a contact potential is studied using the optimized configuration interaction method. The rapid convergence of the method is demonstrated for trapping potentials of convex…

Quantum Physics · Physics 2017-07-17 Anna Okopinska , Przemyslaw Koscik

We study a class of interacting, harmonically trapped boson systems at angular momentum L. The Hamiltonian leaves a L-dimensional subspace invariant, and this permits an explicit solution of several eigenstates and energies for a wide class…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

We investigate the dynamics of Mott-insulating regions of a trapped bosonic gas as the interaction strength is changed linearly with time. The bosonic gas considered is loaded into an optical lattice and confined to a parabolic trapping…

We examine the propagation of solitary waves in elongated clouds of trapped bosonic atoms as the confinement, the strength of the interatomic interaction, and the atom density are varied. We identify three different physical regimes and…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , G. M. Kavoulakis , A. D. Jackson

We investigate a one-dimensional Bose-Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local atom interaction and the global driving allows to control the dynamical stability of the trapped…

Quantum Gases · Physics 2017-04-12 N. Mann , M. Reza Bakhtiari , F. Massel , A. Pelster , M. Thorwart

We study the frictional force exerted on the trapped, interacting 1D Bose gas under the influence of a moving random potential. Specifically we consider weak potentials generated by optical speckle patterns with finite correlation length.…

Quantum Gases · Physics 2017-11-30 Alexander Yu. Cherny , Jean-Sébastien Caux , Joachim Brand

We unravel the stationary properties and the interaction quench dynamics of two bosons, confined in a two-dimensional anisotropic harmonic trap. A transcendental equation is derived giving access to the energy spectrum and revealing the…

Quantum Gases · Physics 2020-07-22 G. Bougas , S. I. Mistakidis , G. M. Alshalan , P. Schmelcher
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