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We present a density-functional theory for the one dimensional harmonically trapped Bose-Fermi mixture with repulsive contact interactions. The ground state density distribution of each component is obtained by solving the Kohn-Sham…

Quantum Gases · Physics 2017-04-06 Hongmei Wang , Yajiang Hao , Yunbo Zhang

We numerically investigate the quantum crystallographic phases of a Rydberg-dressed Bose gas loaded on a square lattice by using the mean-field Gross--Pitaevskii model. For a relatively weak lattice confinement, the phases of ground state…

Quantum Gases · Physics 2017-02-01 Che-hsiu Hsueh , Wen-Chin Wu , Makoto Tsubota

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condensates are systematically studied by calculating the…

Quantum Gases · Physics 2023-12-05 Jianyuan Yin , Zhen Huang , Yongyong Cai , Qiang Du , Lei Zhang

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We study the ground-state behavior of a Bose-Einstein Condensate (BEC) in a Raman-laser-assisted one-dimensional (1D) optical lattice potential forming a multilayer system. We find that, such system can be described by an effective model…

Quantum Gases · Physics 2017-01-10 Qing Sun , Jie Hu , Lin Wen , W. -M. Liu , G. Juzeliunas , An-Chun Ji

We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is…

Soft Condensed Matter · Physics 2009-11-07 Kunal K. Das

We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose-Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the…

Quantum Gases · Physics 2019-02-08 Pablo Díaz , David Laroze , Boris A. Malomed

We study the ground state properties of bosons in a tilted double-well system. We use fidelity susceptibility to identify the possible ground state transitions under different tilt values. For a very small tilt (for example $10^{-10}$), two…

Quantum Physics · Physics 2012-02-21 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan

We study the ground-state properties of a quasi-two-dimensional Bose-Einstein condensate of indirect excitons, which are confined in an anisotropic harmonic potential. Incorporating the interactions, we calculate the order parameter…

Condensed Matter · Physics 2007-05-23 G. M. Kavoulakis

The computation of the ground states of spin-$F$ Bose-Einstein condensates (BECs) can be formulated as an energy minimization problem with two quadratic constraints. We discretize the energy functional and constraints using the Fourier…

Numerical Analysis · Mathematics 2019-07-03 Tonghua Tian , Yongyong Cai , Xinming Wu , Zaiwen Wen

Motivated by recent advances in the representation of ground state wavefunctions of quantum many-body systems using restricted Boltzmann machines as variational ansatz, we utilize an open-source platform for constructing such ansatz called…

Strongly Correlated Electrons · Physics 2020-01-08 Kristopher McBrian , Giuseppe Carleo , Ehsan Khatami

We revisit the one-dimensional attractive Hubbard model by using the Bethe-ansatz based density-functional theory and density-matrix renormalization method. The ground-state properties of this model are discussed in details for different…

We investigate a dilute mixture of bosons and spin-polarized fermions in one-dimension. With an attractive Bose-Fermi scattering length the ground-state is a self-bound droplet, i.e. a Bose-Fermi bright soliton where the Bose and Fermi…

Other Condensed Matter · Physics 2007-05-23 Luca Salasnich , Sadhan K. Adhikari , Flavio Toigo

The ground state energy of a binary mixture of Bose-Einstein condensates can be estimated for large atomic samples by making use of suitably regularized Thomas-Fermi density profiles. By exploiting a variational method on the trial…

Quantum Gases · Physics 2015-06-05 Francesco V. Pepe , Paolo Facchi , Giuseppe Florio , S. Pascazio

We analyze the ground-state properties and the excitation spectrum of Bose-Einstein condensates of trapped dipolar particles. First, we consider the case of a single-component polarized dipolar gas. For this case we discuss the influence of…

Condensed Matter · Physics 2007-05-23 K. Goral , L. Santos

We demonstrate the existence of quantum droplets in two-component one-dimensional Bose-Hubbard chains. The droplets exist for any strength of repulsive intra-species interactions provided they are balanced by comparable attractive…

Quantum Gases · Physics 2020-04-15 Ivan Morera , Grigori E. Astrakharchik , Artur Polls , Bruno Juliá-Díaz

With the help of perturbation theory, we study the ground state of a Bose gas in a spherical trap, using the solution in the Thomas--Fermi approximation as the zero approximation. We have found within a certain approximation that, in some…

Quantum Gases · Physics 2014-01-30 Maksim Tomchenko

We propose to probe the quantum ground state of a spin-1 Bose-Einstein condensate with the transmission spectra of an optical cavity. By choosing a circularly polarized cavity mode with an appropriate frequency, we can realize coupling…

Quantum Gases · Physics 2012-11-06 J. M. Zhang , S. Cui , H. Jing , D. L. Zhou , W. M. Liu

Ground-state properties of the Blume-Emery-Griffiths model with antiferromagnetic nearest-neighbor interactions on a triangular lattice are investigated in the presence of an external magnetic field. In particular, we explore the model's…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič

We study a two-dimensional Bose-Hubbard model at a zero temperature with random local potentials in the presence of either uniform or binary disorder. Many low-energy metastable configurations are found with virtually the same energy as the…

Statistical Mechanics · Physics 2009-02-20 P. Buonsante , F. Massel , V. Penna , A. Vezzani
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