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We study the linear response and the dynamic structure factor of weakly interacting Bose gases at low temperatures. Going beyond lowest order in the weak coupling expansion allows us to determine the contribution of the thermal and quantum…

Soft Condensed Matter · Physics 2007-05-23 H. P. Buchler , G. Blatter

The dynamic structure factor is a central quantity describing the physics of quantum many-body systems, capturing structure and collective excitations of a material. In condensed matter, it can be measured via inelastic neutron scattering,…

Quantum Gases · Physics 2015-05-07 Renate Landig , Ferdinand Brennecke , Rafael Mottl , Tobias Donner , Tilman Esslinger

We propose an experimental setup to efficiently measure the dynamic structure factor of ultracold quantum gases. Our method uses the interaction of the trapped atomic system with two different cavity modes, which are driven by external…

Quantum Gases · Physics 2012-04-11 Hendrik Weimer , Hans Peter Büchler

We discuss approximate formulas for the dynamic structure factor of the one-dimensional Bose gas in the Lieb-Liniger model that appear to be applicable over a wide range of the relevant parameters such as the interaction strength,…

Statistical Mechanics · Physics 2009-11-23 Alexander Yu. Cherny , Joachim Brand

We investigate the thermodynamics of one-dimensional Bose gases in the strongly correlated regime. To this end, we prepare ensembles of independent 1D Bose gases in a two-dimensional optical lattice and perform high-resolution in situ…

We present a theoretical treatment of coherent light scattering from an interacting 1D Bose gas at finite temperatures. We show how this can provide a nondestructive measurement of the atomic system states. The equilibrium states are…

Quantum Gases · Physics 2015-05-30 A. G. Sykes , R. J. Ballagh

We investigate the dynamic structure factor of atomic Bose and Fermi gases in one-dimensional optical lattices at zero temperature. The focus is on the generic behaviour of S(k,omega) as function of filling and interaction strength with the…

Statistical Mechanics · Physics 2009-11-10 R. Roth , K. Burnett

A theoretical treatment of the static structure factor $S(k)$ of a Bose gas is attempted. The low order expansion theory is implemented for the construction of the two body density distribution, while various trial functions for the radial…

Other Condensed Matter · Physics 2009-11-10 Ch. C. Moustakidis

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

We investigate a dilute Bose gas confined in a tight one-dimensional (1D) optical lattice plus a superimposed random potential at zero temperature. Accordingly, the ground state energy, quantum depletion and superfluid density are…

Quantum Gases · Physics 2015-05-19 Kezhao Zhou , Ying Hu , Zhaoxin Liang , Zhidong Zhang

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which…

Statistical Mechanics · Physics 2009-11-11 J. -S. Caux , P. Calabrese

We present a 3D quantum mechanical theory of radio-frequency outcoupled atom lasers from trapped atomic gases in the presence of the gravitational force. Predictions for the total outcoupling rate as a function of the radio-frequency and…

Other Condensed Matter · Physics 2007-05-23 Tobias Kramer , Mirta Rodriguez

In order to identify possible experimental signatures of the superfluid to Mott-insulator quantum phase transition we calculate the charge structure factor $S(k,\omega)$ for the one-dimensional Bose-Hubbard model using the dynamical…

Strongly Correlated Electrons · Physics 2015-05-30 S. Ejima , H. Fehske , F. Gebhard

We consider the Lieb-Liniger model for a gas of bosonic $\delta-$interacting particles. Using Algebraic Bethe Ansatz results we compute the thermodynamic limit of the form factors of the density operator between finite entropy eigenstates…

Quantum Gases · Physics 2015-06-23 Jacopo De Nardis , Miłosz Panfil

We investigate effects of optical lattice potential in one- and two-dimensional two-component trapped Fermi gases with population imbalances. Using the exact diagonalization and the density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2008-06-05 M. Machida , S. Yamada , M. Okumura , Y. Ohashi , H. Matsumoto

The density-density correlations of the non-interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and…

Plasma Physics · Physics 2025-09-24 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

The space-averaged phase-space density and entropy per particle are both fundamental observables which can be extracted from the two-particle correlation functions measured in heavy-ion collisions. Two techniques have been proposed to…

Nuclear Theory · Physics 2009-11-06 David A. Brown , Sergei Y. Panitkin , George F. Bertsch

The dynamic structure factor of a harmonically trapped Bose gas has been calculated well above the Bose-Einstein condensation temperature by treating the gas cloud as a canonical ensemble of noninteracting classical particles. The static…

Quantum Gases · Physics 2015-05-14 Jai Carol Cruz , C. N. Kumar , K. N. Pathak , J. Bosse

Interactions are known to have dramatic effects on bosonic gases in one dimension (1D). Not only does the ground state transform from a condensate-like state to an effective Fermi sea, but new fundamental excitations, which do not have any…

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