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Ground state properties of a fermionic Coulomb gas are calculated using the fixed-node diffusion Monte Carlo method. The validity of the composite boson description is tested for different densities. We extract the exciton-exciton $s$-wave…

Quantum Gases · Physics 2018-04-20 A. E. Golomedov , Yu. E. Lozovik , G. E. Astrakharchik , J. Boronat

Conclusive experimental evidence of a supersolid phase in any known condensed matter system is presently lacking. On the other hand, a supersolid phase has been recently predicted for a system of spinless bosons in continuous space,…

Quantum Gases · Physics 2012-04-27 Sebastiano Saccani , Saverio Moroni , Massimo Boninsegni

A continuum of excitations in interacting one-dimensional systems is bounded from below by a spectral edge that marks the lowest possible excitation energy for a given momentum. We analyse short-range interactions between Fermi particles…

Strongly Correlated Electrons · Physics 2015-06-19 O. Tsyplyatyev , A. J. Schofield

An exact-diagonalization technique on small clusters is used to study low-lying excitations and superconductivity in the two-dimensional negative-$U$ Hubbard model. We first calculate the Bogoliubov-quasiparticle spectrum, condensation…

Condensed Matter · Physics 2016-08-31 Y. Ohta , A. Nakauchi , R. Eder , K. Tsutsui , S. Maekawa

We study the spectrum of rotating Bose-Einstein Condensates in the limit of weak repulsive interactions and present analytical and numerical results for energies and wave functions. While the low-lying states are of collective nature, the…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

We apply linear-response analysis to the Gross-Pitaevskii equation to obtain the excitation frequencies of a Bose-Einstein condensate in a vortex state, and apply it to a system of Rubidium atoms confined in a time-averaged orbiting…

Condensed Matter · Physics 2009-10-28 R. J. Dodd , K. Burnett , Mark Edwards , C. W. Clark

We present a microscopic description of edge excitations in the quantum Hall effect which is analogous to Feynman's theory of superfluids. Analytic expressions for the excitation energies are derived in finite dots. Our predictions are in…

Condensed Matter · Physics 2009-10-22 S. Giovanazzi , L. Pitaevskii , S. Stringari

We measure the excitation spectrum of a dipolar Chromium Bose Einstein Condensate with Raman-Bragg spectroscopy. The energy spectrum depends on the orientation of the dipoles with respect to the excitation momentum, demonstrating an…

Quantum Gases · Physics 2015-06-05 G. Bismut , B. Laburthe-Tolra , E. Marechal , P. Pedri , O. Gorceix , L. Vernac

Nonlinear wave propagation is studied analytically in a dissipative, self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii model. The linear dispersion relation shows that the effect of dissipation is to suppress…

Quantum Gases · Physics 2017-03-27 Biswajit Sahu , Anjana Sinha , R. Roychoudhury

We employ the Bogoliubov approximation to study how the quantum geometry of the helicity states affects the superfluid properties of a spin-orbit-coupled Bose gas in continuum. In particular we derive the low-energy Bogoliubov spectrum for…

Quantum Gases · Physics 2022-02-02 A. L. Subasi , M. Iskin

We study the large-N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next order, predicted by Bogoliubov's theory. We…

Mathematical Physics · Physics 2014-03-12 Mathieu Lewin , Phan Thành Nam , Sylvia Serfaty , Jan Philip Solovej

Using a non-perturbative renormalization-group technique, we compute the momentum and frequency dependence of the anomalous self-energy and the one-particle spectral function of two-dimensional interacting bosons at zero temperature. Below…

Other Condensed Matter · Physics 2009-05-22 N. Dupuis

The dispersion relation for capillary waves at the boundary of two different Bose condensates is investigated using a trial wave-function approach applied to the Gross-Pitaevskii (GP) equations. The surface tension is expressed by the…

Quantum Gases · Physics 2015-02-26 Todor M. Mishonov

We consider a system of weakly interacting bosons confined on a planar double lattice ring subjected to two artificial gauge fields. This system is known to display three phases, the Meissner phase where the flow of particles is carried at…

Quantum Gases · Physics 2020-04-01 Nicolas Victorin , Paolo Pedri , Anna Minguzzi

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

We study ideal Bose gas upon two scale-free structures with identical degree distribution. Energy spectra belonging to tight-binding Hamiltonian are exactly solved and the related spectral dimensions of $G_1$ and $ G_2$ are obtained as…

Quantum Gases · Physics 2017-10-31 Pinchen Xie , Zhongzhi Zhang , Bo Wu

The WKB-approximation for the Bogoliubov-equations of the quasi-particle excitations in Bose-gases with condensate is worked out in the case of spherically symmetric trap potentials on the basis of the resulting quantization rule. The…

Condensed Matter · Physics 2009-10-30 Andr'as Csord'as , Robert Graham , P'eter Sz'epfalusy

Boson droplets (i.e., dense assemblies of bosons at low temperature) are shown to mask a significant amount of single-particle behavior and to manifest collective, droplet-wide excitations. To investigate the balance between single-particle…

Mathematical Physics · Physics 2012-03-06 Stephen Pankavich , Zeina Zhreif , Yong Chen , Peter Ortoleva

Brillouin light scattering from silicon oxynitride films grown on GaAs reveals a low frequency elastic wave excitation at frequencies lying below that of the Rayleigh surface wave. This mode, identified as an excitation localized by the…

Materials Science · Physics 2009-11-07 Xinya Zhang , R Sooryakumar