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By using exact quantum Monte-Carlo methods we calculate the ground-state properties of the liquid phase in one-dimensional Bose mixtures with contact interactions. We find that the liquid state can be formed if the ratio of coupling…

Quantum Gases · Physics 2019-03-27 L. Parisi , G. E. Astrakharchik , S. Giorgini

The internal degrees of freedom provided by ultracold atoms give a route for realizing higher dimensional physics in systems with limited spatial dimensions. Non-spatial degrees of freedom in these systems are dubbed "synthetic dimensions".…

Quantum Gases · Physics 2016-12-16 Hilary M. Hurst , Justin H. Wilson , J. H. Pixley , I. B. Spielman , Stefan S. Natu

We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate,…

We analytically investigate the ground-state properties of two-component Bose-Einstein condensates with few ⁸⁷Rb atoms inside a high-quality cavity quantum electrodynamics. In the SU(2) representation for atom, this quantum…

Quantum Physics · Physics 2009-11-13 Gang Chen , Zidong Chen , J. -Q. Liang

In this paper we solve one dimensional SU(3) bosons with repulsive $\delta$-function interaction by means of Bethe ansatz method. The features of ground state and low-lying excited states are studied by both numerical and analytic methods.…

Strongly Correlated Electrons · Physics 2009-11-10 You-Quan Li , Shi-Jian Gu , Zu-Jian Ying

We explore phases of two-component Rydberg-dressed Bose-Einstein condensates in three spatial dimensions. The competition between the effective ranges of inter- and intra-component soft-core interactions leads to a rich variety of ground…

Quantum Gases · Physics 2025-07-23 Yi-Ming Duan , Liang-Jun He , Fabian Maucher , Yong-Chang Zhang

We analyze the ground state of a Bose-Einstein condensate in the presence of higher-order interaction (HOI), modeled by a modified Gross-Pitaevskii equation (MGPE). In fact, due to the appearance of HOI, the ground state structures become…

Mathematical Physics · Physics 2021-10-26 Weizhu Bao , Yongyong Cai , Xinran Ruan

We study the physics of soft-core bosons at zero temperature in two dimensions for a class of potentials that could be realised in experiments with Rydberg dressed Bose-Einstein condensates. We analyze the ground state properties of the…

Quantum Gases · Physics 2015-06-18 Tommaso Macri , Sebastiano Saccani , Fabio Cinti

For the one-dimensional repulsive Bose gas (Lieb-Liniger model), we study a special class of highly-excited states obtained by giving a finite momentum to subgroups of particles. These states, which correspond to `splitting' the ground…

Strongly Correlated Electrons · Physics 2014-04-23 T. Fokkema , I. S. Eliëns , J. -S. Caux

We study the ground states of one-dimensional Bose-Bose mixtures under harmonic confinement. As we vary the inter-species coupling strength up to the limit of infinite repulsion, we observe a generalized, composite-fermionization crossover.…

Other Condensed Matter · Physics 2008-07-23 Sascha Zöllner , Hans-Dieter Meyer , Peter Schmelcher

Ultracold miscible mixtures of bosonic gases have been observed to form quantum droplet states stabilized by beyond-mean-field quantum fluctuations. Here we study the properties of the droplets when subjected to harmonic trapping in one…

Quantum Gases · Physics 2025-08-18 Srivatsa B. Prasad , Thomas P. Billam , Nick G. Parker

This paper considers ground states of two-component Bose gases confined in an anharmonic trap rotating at the velocity $0<\Omega<\infty$, where the intraspecies interaction $(-a_1,-a_2)$ and the interspecies interaction $-\beta$ are both…

Analysis of PDEs · Mathematics 2023-11-22 Yongshuai Gao , Yong Luo

We study the stationary and excitation properties of a one-dimensional quantum droplet in the two-component Bose mixture trapped in a harmonic potential. By constructing the energy functional for the inhomogeneous mixture, we elaborate the…

Quantum Gases · Physics 2024-08-26 Xucong Du , Yifan Fei , Xiao-Long Chen , Yunbo Zhang

We present the exact solution for the many-body wavefunction of a one-dimensional mixture of bosons and spin-polarized fermions with equal masses and infinitely strong repulsive interactions under external confinement. Such a model displays…

Quantum Gases · Physics 2011-08-23 Bess Fang , Patrizia Vignolo , Mario Gattobigio , Christian Miniatura , Anna Minguzzi

We consider the integrable one-dimensional delta-function interacting Bose gas in a hard wall box which is exactly solved via the coordinate Bethe Ansatz. The ground state energy, including the surface energy, is derived from the…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , X. W. Guan , N. Oelkers , C. Lee

We consider the ground state and the low-lying excitations of dipolar Bose-Einstein condensates in a bubble trap, i.e., a shell-shaped spherically symmetric confining potential. By means of an appropriate Gaussian ansatz, we determine the…

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess…

Quantum Gases · Physics 2016-11-25 C. -H. Hsueh , T. -C. Lin , T. -L. Horng , W. C. Wu

The ground state of a homogeneous Bose gas of hard spheres is treated in self-consistent mean-field theory. It is shown that this approach provides an accurate description of the ground state of a Bose-Einstein condensed gas for arbitrarily…

Quantum Gases · Physics 2015-06-22 V. I. Yukalov , E. P. Yukalova

A Hubbard-like model with SU(4) symmetry for electrons with two-fold orbital degeneracy is studied extensively. Exact solution in one dimension is derived by means of Bethe ansatz, where the sites are supposed to be occupied by at most two…

Strongly Correlated Electrons · Physics 2009-10-31 You-Quan Li , Shi-Jian Gu , Zu-JianYing , Ulrich Eckern

We carry out a detailed examination of the ground state property of few-boson system in a one-dimensional hard wall potential with a $\delta -$ split in the center. In the Tonks-Girardeau limit with infinite repulsion between particles, we…

Strongly Correlated Electrons · Physics 2008-08-27 Xiangguo Yin , Yajiang Hao , Shu Chen , Yunbo Zhang
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