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We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number $k\geq 2$. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper…

统计力学 · 物理学 2007-05-23 Andras Suto

We study the superfluid behavior of ultracold atomic Fermi gases with a short range attractive interaction in a two-dimensional optical lattice (2DOL) using a pairing fluctuation theory, within the context of BCS-BEC crossover. We find that…

量子气体 · 物理学 2022-03-01 Lin Sun , Jibiao Wang , Xiang Chu , Qijin Chen

We investigate lattice energies for radially symmetric, spatially extended particles interacting via a radial potential and arranged on the sites of a two-dimensional Bravais lattice. We show the global minimality of the triangular lattice…

数学物理 · 物理学 2018-04-18 Laurent Bétermin , Hans Knüpfer

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

量子气体 · 物理学 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

广义相对论与量子宇宙学 · 物理学 2009-10-31 E. I. Guendelman

We study Gaussian fluctuations of the zero-temperature attractive Fermi gas in the 2D BCS-BEC crossover showing that they are crucial to get a reliable equation of state in the BEC regime of composite bosons, bound states of fermionic…

量子气体 · 物理学 2015-01-27 L. Salasnich , F. Toigo

I derive a loop representation for the canonical and grand-canonical partition functions for an interacting four-component Fermi gas in one spatial dimension and an arbitrary external potential. The representation is free of the "sign…

高能物理 - 格点 · 物理学 2012-07-04 Michael G. Endres

We consider a classical, two-dimensional system of identical particles which interact via a finite-ranged, repulsive pair potential. We assume that the system is in a crystalline phase. We calculate the normal vibrational modes of a…

其他凝聚态物理 · 物理学 2008-06-27 D. J. Papoular

We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic properties of the ground state field and compare them with…

无序系统与神经网络 · 物理学 2021-11-17 Yagmur Kati , Mikhail V. Fistul , Alexander Yu. Cherny , Sergej Flach

Neutron and proton densities of doubly-closed shell nuclei 40Ca, 48Ca and 208Pb are studied based on a Hartree-Fock model with SAMi, SAMi-J27 and SAMi-T energy density functionals (EDFs). The ground state correlations (GSC) induced by…

核理论 · 物理学 2022-08-31 F. Minato , H. Sagawa , S. Yoshida

It has been shown that effective lowering of dimension underlies ground-state space structure and properties of two-dimensional lattice systems with a long-range interparticle repulsion. On the basis of this fact a rigorous general…

强关联电子 · 物理学 2007-05-23 A. A. Slutskin , V. V. Slavin , H. A. Kovtun

We use different types of determinantal Hartree-Fock (HF) wave functions to calculate variational bounds for the ground state energy of spin-half fermions in volume V_0, with mass m, electric charge zero, and magnetic moment mu, which are…

强关联电子 · 物理学 2008-11-26 Sudhanshu S. Jha , S. D. Mahanti

A method parametrizing all inelastic final state interactions (FSI) in $B\to PP$ decays is presented ($P$ - pseudoscalar meson). The method explicitly shows how rescattering leads to the replacement of the short-distance amplitudes with the…

高能物理 - 唯象学 · 物理学 2010-11-23 P. Zenczykowski

We use a Bogoliubov-de Gennes (BdG) formulation to describe a single vortex in a neutral fermionic gas. It is presumed that the attractive pairing interaction can be arbitrarily tuned to exhibit a crossover from BCS to Bose-Einstein…

超导电性 · 物理学 2011-09-13 Chih-Chun Chien , Yan He , Qijin Chen , K. Levin

We investigate clean mutilayered structures of the SFS and SFSFS type, (where the S layer is intrinsically superconducting and the F layer is ferromagnetic) through numerical solution of the self-consistent Bogoliubov-de Gennes equations…

超导电性 · 物理学 2009-11-10 Klaus Halterman , Oriol T. Valls

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

量子气体 · 物理学 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski

We present ground state calculations for low-density Fermi gases described by two model interactions, an attractive square-well potential and a Lennard-Jones potential, of varying strength. We use the optimized Fermi-Hypernetted Chain…

量子气体 · 物理学 2018-12-18 H. H. Fan , E. Krotscheck , T. Lichtenegger , D. Mateo , R. E. Zillich

We investigate the local and global optimality of the triangular, square, simple cubic, face-centred-cubic (FCC), body-centred-cubic (BCC) lattices and the hexagonal-close-packing (HCP) structure for a potential energy per point generated…

数学物理 · 物理学 2019-10-23 Laurent Bétermin

Under pressure cesium undergoes a transition from a high-pressure fcc phase (Cs-II) to a collapsed fcc phase (Cs-III) near 4.2GPa. At 4.4GPa there follows a transition to the tetragonal Cs-IV phase. In order to investigate the lattice…

材料科学 · 物理学 2009-10-31 Y. Kong , O. Jepsen

We consider a lattice gas in spaces of dimensionality $\mathcal{D}=1,2,3$. The particles are subject to a hardcore exclusion interaction and an attractive pair interaction that satisfies Gauss' law as do Newtonian gravity in…

统计力学 · 物理学 2018-05-02 Benaoumeur Bakhti , Divana Boukari , Michael Karbach , Philipp Maass , Gerhard Müller