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Related papers: Correlations in lowest Landau level vortex states

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We derive a general framework, in terms of elastic theory, for describing the distortion of the vortex lattice in a rotating Bose-Einstein condensate at arbitrary rotation speed and determining the dependence of the distortion on the…

Statistical Mechanics · Physics 2015-06-25 Gordon Baym , C. J. Pethick , S. Andrew Gifford , Gentaro Watanabe

We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a…

Quantum Gases · Physics 2024-12-20 Michele Correggi , Romain Duboscq , Douglas Lundholm , Nicolas Rougerie

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

In a dilute system of N fermions with spin 1/2 in three dimensions, we study the correlation energy which is given by the difference between the ground state energy and the energy of the non-interacting Fermi sea state. We review some…

Mathematical Physics · Physics 2022-07-28 Emanuela L. Giacomelli

We consider the asymptotic behavior of a system of multi-component trapped bosons, when the total particle number $N$ becomes large. In the dilute regime, when the interaction potentials have the length scale of order $O(N^{-1})$, we show…

Mathematical Physics · Physics 2019-03-27 Alessandro Michelangeli , Phan Thành Nam , Alessandro Olgiati

We consider a harmonically trapped few-Boson system under rotation and investigate the ground state properties beyond the usual ``lowest Landau level'' approximation by using exact diagonalizations in a restricted Hilbert subspace. We find…

Statistical Mechanics · Physics 2007-05-23 Xiaji Liu , Hui Hu , Lee Chang , Shi-Qun Li

We analyze the entanglement properties of the Bogoliubov vacuum, which is obtained as a second order approximation to the ground state of an interacting Bose--Einstein condensate. We work on one and two dimensional lattices and study the…

Other Condensed Matter · Physics 2009-11-10 U. V. Poulsen , T. Meyer , M. Lewenstein

We study the spatial correlations of strongly interacting bosons in a ground state, confined in two-dimensional square and three-dimensional cubic lattice. Using combined Bogoliubov method and the quantum rotor approach, we map the…

Quantum Gases · Physics 2012-01-19 T. A. Zaleski , T. K. Kopeć

Electron-correlation effects on cohesive energy, lattice constant and bulk compressibility of rutile are calculated using an ab-initio scheme. A competition between the two groups of partially covalent Ti-O bonds is the reason that the…

Materials Science · Physics 2009-10-31 Krzysztof Rosciszewski , Klaus Doll , Beate Paulus , Peter Fulde , Hermann Stoll

We study the ground states of rotating atomic Bose-Einstein condensates with dipolar interactions. We present the results of numerical studies on a periodic geometry which show vortex lattice ground states of various symmetries: triangular…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Komineas , N. R. Cooper

We theoretically study physical properties of the low-energy quasiparticle excitations at the vortex core in the full-gap superconducting state of the Kondo lattice coupled to compensated metals. Based on the mean-field description of the…

Superconductivity · Physics 2020-08-10 Shoma Iimura , Motoaki Hirayama , Shintaro Hoshino

I review recent theoretical treatments of a dilute interacting condensed Bose gas in a trap. Bogoliubov's classic results for a uniform condensate are generalized to include the effect of a trap, using the Gross-Pitaevskii formalism (for…

Condensed Matter · Physics 2009-10-28 Alexander L. Fetter

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

We make use of a simple pair correlated wave function approach to obtain results for the ground-state densities and momentum distribution of a one-dimensional three-body bosonic system with different interactions in a harmonic trap. For…

Quantum Gases · Physics 2016-06-06 R. E. Barfknecht , A. S. Dehkharghani , A. Foerster , N. T. Zinner

We calculated the electronic structure of a vortex in a pseudogapped superconductor within a model featuring strong correlations. With increasing strength of the correlations, the BCS core states are suppressed and the spectra in and…

Superconductivity · Physics 2007-05-23 C. Berthod , B. Giovannini

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , David L. Feder

We present results for the ground states of a system of spin-1 bosons in a rotating trap. We focus on the dilute, weakly interacting regime, and restrict the bosons to the quantum states in the lowest Landau level (LLL) in the plane (disc),…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. W. Reijnders , F. J. M van Lankvelt , K. Schoutens , N. Read

We study the damping of Bogoliubov excitations in an optical lattice at finite temperatures. For simplicity, we consider a Bose-Hubbard tight-binding model and limit our analysis to the lowest excitation band. We use the Popov approximation…

Statistical Mechanics · Physics 2009-11-11 S. Tsuchiya , A. Griffin

Several properties of trapped hard sphere bosons are evaluated using variational Monte Carlo techniques. A trial wave function composed of a renormalized single particle Gaussian and a hard sphere Jastrow function for pair correlations is…

Condensed Matter · Physics 2014-09-11 J. L. DuBois , H. R. Glyde

By measuring the Josephson Plasma Resonance, we have probed the influence of an in-plane magnetic field on the pancake vortex correlations along the c-axis in heavily underdoped Bi2Sr2CaCu2O8+d (Tc = 72.4 +/- 0.6 K) single crystals both in…

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