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We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

A new version of random phase approximation is proposed for low-energy harmonic vibrations in nuclei. The theory is not based on the quasi-particle vacuum of the BCS/HFB ground state, but on the pair condensate determined in Ref. [4]. The…

Nuclear Theory · Physics 2013-06-27 L. Y. Jia

We develop the Hartree-Fock-Bogoliubov theory at finite temperature for Bose gas trapped in the two dimensional optical lattices. The on-site energy is considered low enough that the gas presents superfluid properties. We obtain the…

Quantum Gases · Physics 2015-05-11 M. O. C. Pires , E. J. V. de Passos

The measurement problem for the optical phase has been traditionally attacked for noiseless schemes or in the presence of amplitude or detection noise. Here we address estimation of phase in the presence of phase diffusion and evaluate the…

Quantum Physics · Physics 2015-03-17 Marco G. Genoni , Stefano Olivares , Matteo G. A. Paris

The disordered Bose Hubbard model is studied numerically within the Bogoliubov approximation. First, the spatially varying condensate wavefunction in the presence of disorder is found by solving a nonlinear Schrodinger equation. Using the…

Condensed Matter · Physics 2009-10-22 K. G. Singh , D. S. Rokhsar

A linear quantum dynamical theory for squeezing the output of the trapped Bose-Einstein condensate is presented with the Bogoliubov approximation. We observe that the non-classical properties, such as sub-Poisson distribution and quadrature…

Quantum Physics · Physics 2009-11-06 Hui Jing , Jing-Ling Chen , Mo-Lin Ge

The Hartree-Fock-Bogoliubov approximation is very useful for treating both long- and short-range correlations in finite quantum fermion systems, but it must be extended in order to describe detailed spectroscopic properties. One problem is…

Nuclear Theory · Physics 2017-08-23 L. M. Robledo , G. F. Bertsch

In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field approach. Moreover, within this approximation modified by…

Quantum Gases · Physics 2022-10-03 Asliddin Khudoyberdiev , Zabardast Narzikulov , B. Tanatar

At zero temperature, homogeneous interacting Bose-condensed fluids are entirely superfluid, with remarkable transport properties. A non-superfluid, normal component is induced by finite temperatures and spatial inhomogeneity, the combined…

Quantum Gases · Physics 2026-02-26 Cord A. Müller

We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms have lead to confusion. We numerically obtain results for…

Statistical Mechanics · Physics 2016-08-31 Christopher Gies , Brandon van Zyl , S. A. Morgan , D. A. W. Hutchinson

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

Microcavity exciton-polaritons, known to exhibit non-equilibrium Bose condensation at high critical temperatures, can be also brought in thermal equilibrium with the surrounding medium and form a quantum degenerate Bose-Einstein…

Quantum Gases · Physics 2021-09-15 A. M. Grudinina , I. L. Kurbakov , Yu. E. Lozovik , N. S. Voronova

The Bogoliubov procedure in quantum field theory is used to describe a relativistic almost ideal Bose gas at zero temperature. Special attention is given to the study of a vortex. The radius of the vortex in the field description is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Boisseau

We present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee-Huang-Yang formula in the Gross-Pitaevskii regime. Furthermore, we identify the low lying excitation…

Mathematical Physics · Physics 2024-01-02 Morris Brooks

A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized…

Disordered Systems and Neural Networks · Physics 2009-11-08 Robert Graham , Axel Pelster

We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon,…

Quantum Gases · Physics 2014-11-20 A. Recati , N. Pavloff , I. Carusotto

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y.Nakamura et al., Phys. Rev. A 89, 013613 (2014)] is extended to finite temperature. Both thermal and quantum fluctuations…

Quantum Gases · Physics 2017-03-08 Y. Nakamura , T. Kawaguchi , Y. Torii , Y. Yamanaka

Fragmentation of an interacting Bose gas refers to the macroscopic occupation of a finite set of single-particle eigenstates. This phenomenon is related to the notion of particle-number squeezing in quantum optics, an exquisite property of…

Quantum Gases · Physics 2024-04-30 Nathan Dupont , Amit Vashisht , Nathan Goldman

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|\theta_0,\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for…

Quantum Gases · Physics 2015-05-20 G. R. Jin , B. B. Wang , Y. W. Lu