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The higher dimensional quantum Hall liquid constructed recently supports stable topological membrane excitations. Here we introduce a microscopic interacting Hamiltonian and present its exact ground state wave function. We show that this…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Shou-Cheng Zhang

We present a full set of wave equations describing a dense Bose fluid, applicable both to non- ideal gases and to liquid 4He. The phonon spectrum in liquid 4He is found and the fraction of condensed particles is calculated at zero…

Other Condensed Matter · Physics 2015-06-16 V I Kruglov , M J Collett

We present a many-body approach to calculate the ground state properties of a system of electrons in a half-filled Landau level. Our starting point is a simplified version of the recently proposed trial wave function where one includes the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty

We study the performance of permanent states (the bosonic counterpart of the Slater determinant state) as approximating functions for bosons, with the intention to develop variational methods based upon them. For a system of $N$ identical…

Quantum Gases · Physics 2022-05-17 J. M. Zhang , H. F. Song , Y. Liu

Short-range correlations in bosonic Helium clusters, composed of $^4$He atoms, are studied utilizing the generalized contact formalism. The emergence of universal $n$-body short range correlations is formulated and demonstrated numerically…

Quantum Gases · Physics 2020-01-29 Betzalel Bazak , Manuel Valiente , Nir Barnea

The hyperspherical harmonic basis is used to describe bound states in an $A$--body system. The approach presented here is based on the representation of the potential energy in terms of hyperspherical harmonic functions. Using this…

Computational Physics · Physics 2009-05-13 M. Gattobigio , A. Kievsky , M. Viviani , P. Barletta

We propose a system-oriented basis-set design based on even-tempered basis functions to variationally encode electronic ground-state information into molecular orbitals. First, we introduce a reduced formalism of concentric even-tempered…

Chemical Physics · Physics 2026-02-23 Weishi Wang , Casey Dowdle , James D. Whitfield

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

In the framework of mean-field approximation the dynamics of Bose-Einstein condensates can be described by the hydrodynamic-like equations. These equations are analyzed here with account of mutual interaction between condensate and…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov

The electronic band structure of many compounds, e.g., carbon-based structures, can exhibit essentially no dispersion. Models of electrons in flat-band lattices define non-perturbative strongly correlated problems by default. We construct a…

Strongly Correlated Electrons · Physics 2011-06-21 Hao Wang , V. W. Scarola

We show that binary mixtures of Bose-condensates of alkali atoms have a great variety of ground state and vortex structures which can be accessed experimentally by varying the particle numbers of different alkalis. We have constructed a…

Condensed Matter · Physics 2007-05-23 Tin-Lun Ho , V. B. Shenoy

We compute ground and excited state properties of small helium clusters 4He_N containing a single benzene impurity molecule. Ground-state structures and energies are obtained for N=1,2,3,14 from importance-sampled, rigid-body diffusion…

Chemical Physics · Physics 2009-11-10 Patrick Huang , K. Birgitta Whaley

Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid,…

Statistical Mechanics · Physics 2009-10-30 A. R. Denton , P. Nielaba , N. W. Ashcroft

Most non-relativistic interacting quantum many-body systems, such as atomic and molecular ensembles or materials, are naturally described in terms of continuous-space Hamiltonians. The simulation of their ground-state properties on digital…

Quantum Physics · Physics 2024-09-11 Friederike Metz , Gabriel Pescia , Giuseppe Carleo

Single-atomic impurities immersed in a dilute Bose gas in the spherically symmetric harmonic trap potentials are studied at zero temperature. In order to find the ground state of the polarons, we present a conditional variational method…

Quantum Gases · Physics 2019-04-03 Kano Watanabe , Eiji Nakano , Hiroyuki Yabu

The general formulation of a technically advantageous method to find the ground state solution of the Schrodinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We report a new metastable gamma polymorph of mixed metal borohydride LiSc(BH4)4. Using Density Functional Theory calculations with dispersion corrections, we prove importance of van der Waals H...H interactions for correct theoretical…

We report new patterns, consisting of coexistence of sub-harmonic/harmonic and asynchronous states [for example, a granular gas co-existing with (i) bouncing bed, (ii) undulatory subharmonic waves and (iii) Leidenfrost-like state], in…

Soft Condensed Matter · Physics 2018-01-31 I. H. Ansari , N. Rivas , M. Alam

We present a comprehensive theoretical study of the phase diagram of a system of many Bose particles interacting with a two-body central potential of the so-called Lennard-Jones form. First-principles path-integral computations are carried…

Statistical Mechanics · Physics 2020-12-16 Youssef Kora , Massimo Boninsegni , Dam Thanh Son , Shiwei Zhang

The topological morphology--order of zeros at the positions of electrons with respect to a specific electron--of Laughlin state at filling fractions $1/m$ ($m$ odd) is homogeneous as every electron feels zeros of order $m$ at the positions…

Strongly Correlated Electrons · Physics 2017-09-08 Sutirtha Mukherjee , Sudhansu S Mandal