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We numerically study free expansion of a few Lieb-Liniger bosons, which are initially in the ground state of an infinitely deep hard-wall trap. Numerical calculation is carried out by employing a standard Fourier transform, as follows from…

Other Condensed Matter · Physics 2009-11-13 D. Jukić , B. Klajn , H. Buljan

A one-dimensional system of bosons interacting with contact and single-Gaussian forces is studied with an expansion in hyperspherical harmonics. The hyperradial potentials are calculated using the link between the hyperspherical harmonics…

Nuclear Theory · Physics 2017-10-03 N. K. Timofeyuk , D. Baye

We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo…

Quantum Gases · Physics 2011-05-23 Xue-Feng Zhang , Yu-Chuan Wen , Yue Yu

We present a theoretical study of the dissipative dynamics of the Bose-Hubbard model induced by on-site or long-range two-body losses. We first consider the one-dimensional chain and the two-dimensional square lattice, and study the…

Quantum Gases · Physics 2025-05-28 Julien Despres , Leonardo Mazza , Marco Schirò

We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

We investigate the Dirac time-dependent variational method using a Gaussian trial functional for an infinite one dimensional system of Bosons interacting through a repulsive contact interaction. The method produces a set of non-linear time…

Condensed Matter · Physics 2009-10-30 Arthur K. Kerman , Paolo Tommasini

We study ground state properties and excitation spectra for hard-core Bosons on square and triangular lattices, at half filling, using series expansion methods. Nearest-neighbor repulsion between the Bosons leads to the development of…

Strongly Correlated Electrons · Physics 2007-05-23 Tyler Bryant , Rajiv R. P. Singh

We calculate the effective three-body force for bosons interacting with each other by a two-body potential tuned to a narrow zero crossing in any dimension. We use the standard two-channel model parametrized by the background atom-atom…

Quantum Gases · Physics 2019-10-15 A. Pricoupenko , D. S. Petrov

We demonstrate that the nonequilibrium spatial density of a one-dimensional interacting Bose gas, following a geometric quench, directly encodes information about the underlying momentum (rapidity) distribution of the system. Starting from…

Quantum Gases · Physics 2026-05-05 Sumita Datta , James M Rejcek , Rajasee Datta , Maxim Olshanii

We study the time dynamics of a single boson coupled to a bath of two-level systems (spins 1/2) with different excitation energies, described by an inhomogeneous Dicke model. Analyzing the time-dependent Schrodinger equation exactly we find…

Strongly Correlated Electrons · Physics 2015-05-13 Oleksandr Tsyplyatyev , Daniel Loss

We study a system of two bosons of one species and a third boson of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter- and intra-species interactions. By means of an exact…

Quantum Gases · Physics 2014-12-05 M. A. García-March , B. Juliá-Díaz , G. E. Astrakharchik , J. Boronat , A. Polls

We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of…

Quantum Gases · Physics 2019-03-27 Volodymyr Pastukhov

We consider a longitudinal expansion of a one-dimensional gas of hard-core bosons suddenly released from a trap. We show that the broken translational invariance in the initial state of the system is encoded in correlations between the…

Statistical Mechanics · Physics 2008-04-10 D. M. Gangardt , M. Pustilnik

We investigate the possible existence of the bound state in the system of three bosons interacting with each other via zero-radius potentials in two dimensions (it can be atoms confined in two dimensions or tri-exciton states in…

Quantum Gases · Physics 2017-01-10 Tianhao Ren , Igor Aleiner

We study the ground state pair-correlation properties of a weakly interacting trapped Bose gas in three dimension by using a correlated many-body method. Use of the van der Waals interaction potential and an external trapping potential…

Quantum Gases · Physics 2015-03-13 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By…

We investigate ground-state and excitation spectrum of a system of non-relativistic bosons in one-dimension interacting through repulsive, two-body contact interactions in a self-consistent Gaussian mean-field approximation. The method…

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu

We observe that a density-depleted vortex core evolves into concentric density ripples in a freely expanding quasi-two-dimensional Bose-Einstein condensate. The atomic density of the expanding condensate rapidly reduces due to the fast…

Quantum Gases · Physics 2015-09-10 Sang Won Seo , Jae-yoon Choi , Yong-il Shin
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