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Related papers: Ground-state properties of few-Boson system in a o…

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Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We consider a homogeneous 1D Bose gas with contact interactions and large attractive coupling constant. This system can be realized in tight waveguides by exploiting a confinement induced resonance of the effective 1D scattering amplitude.…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We present an analytic Bogoliubov description of a BEC of polar molecules trapped in a quasi-2D geometry and interacting via internal state-dependent dipole-dipole interactions. We derive the mean-field ground-state energy functional, and…

We revisit the problem of the calculation of low-temperature properties for the dilute two-dimensional Bose gas. By using Popov's hydrodynamic approach and perturbation theory on the one-loop level we recover not only the known expansion…

Quantum Gases · Physics 2018-11-14 Volodymyr Pastukhov

Structural and dynamic correlations in the ground state of the one-dimensional Fermi one-component plasma are studied by Quantum Monte Carlo simulations. Results are presented for the pair correlation function, static structure factor, the…

Strongly Correlated Electrons · Physics 2026-05-27 Massimo Boninsegni

Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground state of a harmonically trapped 1D Bose gas with…

Quantum Gases · Physics 2010-11-12 M. D. Girardeau

We study the ground-state properties and quantum dynamics of few-boson mixtures with strong inter-species repulsion in one-dimensional traps. If one species localizes at the center, e.g., due to a very large mass compared to the other…

Quantum Gases · Physics 2010-02-18 Anika C. Pflanzer , Sascha Zöllner , Peter Schmelcher

We study the ground state and the first three radially excited states of a self-gravitating Bose-Einstein- Condensate with respect to the influence of two external parameters, the total mass and the strength of interactions between…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Kris Schroven , Meike List , Claus Lämmerzahl

We consider a system of Gross-Pitaevskii equations in R^2 modelling a mixture of two Bose-Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two…

Analysis of PDEs · Mathematics 2008-09-19 Marco Caliari , Marco Squassina

We have studied the ground state of the two-dimensional (2D) Hubbard model by using a quantum monte method paying special attention to the shell structure effect on finite size clusters. Our calculations show there is a gap for spin…

Strongly Correlated Electrons · Physics 2007-05-23 Yoshihiro ASAI

We study the ground state which minimizes a Gross-Pitaevskii energy with general non-radial trapping potential, under the unit mass constraint, in the Thomas-Fermi limit where a small parameter tends to 0. This ground state plays an…

Analysis of PDEs · Mathematics 2012-06-05 Georgia D. Karali , Christos Sourdis

In this paper we study a mixed system of bosons and fermions with up to six particles in total. All particles are assumed to have the same mass. The two-body interactions are repulsive and are assumed to have equal strength in both the…

Quantum Gases · Physics 2017-06-20 A. S. Dehkharghani , F. F. Bellotti , N. T. Zinner

The exact N-particle ground state wave function for a one-dimensional condensate of hard core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. D. Girardeau , E. M. Wright , J. M. Triscari

We consider the ground state of a mixture of two pseudospin-$\1/2$ Bose gases with interspecies spin exchange in a trapping potential. In the mean field approach, the ground state can be described in terms of four wave functions governed by…

Quantum Gases · Physics 2015-06-15 Jinlong Wang , Yu Shi

The analysis of the quantum Hall response of a small system of ultracold bosonic atoms through the variation of its Hall resistivity against the applied gauge magnetic field, provides a powerful method to unmask its strongly correlated…

Quantum Gases · Physics 2017-02-22 N. Barberàn , J. Taron

Near two-body unitarity, the three-boson system is characterized by an approximate discrete scale invariance manifest in a geometric tower of bound states (the Efimov effect). In the absence of a strong four-body force, the four-boson…

Atomic Physics · Physics 2024-04-03 Feng Wu , T. Frederico , R. Higa , U. van Kolck

We study the ground state energy of a gas of $N$ fermions confined to a unit box in $d$ dimensions. The particles interact through a 2-body potential with strength scaled in an $N$-dependent way as $N^{-\alpha}v$, where $\alpha\in \mathbb…

Mathematical Physics · Physics 2024-02-14 Søren Fournais , Błażej Ruba , Jan Philip Solovej

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

A generalized trial wave function termed as the "multi-D1 Ansatz" has been developed to study the ground state of the spin-boson model with simultaneous diagonal and off-diagonal coupling in the sub-Ohmic regime. Ground-state properties…

Quantum Gases · Physics 2015-05-21 Nengji Zhou , Lipeng Chen , Dazhi Xu , Vladimir Chernyak , Yang Zhao

The energy and structure of a dilute hard-disks Bose gas are studied in the framework of a variational many-body approach based on a Jastrow correlated ground state wave function. The asymptotic behaviors of the radial distribution function…

Statistical Mechanics · Physics 2009-11-10 F. Mazzanti , A. Polls , A. Fabrocini
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