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We provide a numerical method to calculate comprehensively the microwave and the laser spectra of ultracold bosonic atoms in optical lattices at finite temperatures. Our formulation is built up with the sum rules, up to the second order,…

Quantum Gases · Physics 2016-04-13 Kensuke Inaba , Makoto Yamashita

We have measured the differential resistance of mesoscopic gold wires of different lengths connected to an aluminum superconductor as a function of temperature and voltage. Our experimental results differ substantially from theoretical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. J. Black , V. Chandrasekhar

We use the operator product expansion (OPE) and dispersion relations to obtain new model-independent "Borel-resummed" sum rules for both shear and bulk viscosity of many-body systems of spin-1/2 fermions with predominantly short range…

Quantum Gases · Physics 2015-05-28 Walter D. Goldberger , Zuhair U. Khandker

A class of sum rules for inelastic light scattering is developed. We show that the first moment of the non-resonant response provides information about the potential energy in strongly correlated systems. The polarization dependence of the…

Strongly Correlated Electrons · Physics 2009-11-11 J. K. Freericks , T. P. Devereaux , M. Moraghebi , S. L. Cooper

Effects of electron-phonon interactions on the band structure can be experimentally investigated in detail by measuring the temperature dependence of energy gaps or critical points (van Hove singularities) of the optical excitation spectra.…

Superconductivity · Physics 2009-11-10 Manuel Cardona

Observed optical reflectivity in the infrared spectral region is compared with theoretical predictions in a strongly coupled electron-phonon system. Starting from a Froehlich Hamiltonian, the spectral functions and their temperature…

Superconductivity · Physics 2007-05-23 H. J. Kaufmann , E. G. Maksimov , E. K. H. Salje

In the conventional BCS description of a superconductor the kinetic energy increases in the superconducting state. We describe the observed decrease in kinetic energy by adopting a simple model of electrons whose elastic scattering rate…

Superconductivity · Physics 2009-11-11 Frank Marsiglio

The possible in-medium changes of the properties of an omega meson placed in cold nuclear matter are constrained by QCD sum rules. It is shown that the sum rules cannot fully determine the in-medium spectral shape of the omega meson.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Birger Steinmueller , Stefan Leupold

We investigate sum-rules applying to the Raman intensity in a strongly correlated system close to the Mott transition. Quite generally, it can be shown that, provided the frequency integration is performed up to a cutoff smaller than the…

Strongly Correlated Electrons · Physics 2008-09-18 L. de' Medici , A. Georges , G. Kotliar

A sum rule is derived for elastic scattering of hadrons at high energies which is in good agreement with experimental data on $p\bar{p}$ available upto the maximum energy $\sqrt{s} = 2 TeV$. Physically, our sum rule reflects the way…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Pancheri , Y. Srivastava , N. Staffolani

The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities…

Quantum Physics · Physics 2009-01-14 I. Brevik , J. B. Aarseth , J. S. Høye , K. A. Milton

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) in an asymptotically…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Huang , M. Lissia

We develop an exact sum rule that relates the spectral shift of a trapped gas undergoing cold collisions to measurable quantities of the system. The method demonstrates the dependence of the cold collision frequency shift on the quantum…

Atomic Physics · Physics 2008-04-12 Mehmet O. Oktel , Thomas C. Killian , Daniel Kleppner , L. S. Levitov

We consider the differential sum rule for the effective scattering rate $% 1/\tau (\omega)$ and optical conductivity $\sigma_{1}(\omega) $ in a dirty BCS superconductor, for arbitrary ratio of the superconducting gap $% \Delta$ and the…

Superconductivity · Physics 2009-11-10 Andrey V. Chubukov , Ar. Abanov , D. N. Basov

We use low energy optical spectroscopy and first principles LDA+DMFT calculations to test the hypothesis that the anomalous transport properties of strongly correlated metals originate in the strong temperature dependence of their…

Strongly Correlated Electrons · Physics 2014-12-09 Xiaoyu Deng , Aaron Sternbach , Kristjan Haule , D. N. Basov , Gabriel Kotliar

We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical…

Materials Science · Physics 2015-10-28 Bartomeu Monserrat , G. J. Conduit , R. J. Needs

We consider clean metals, at finite temperature, in which the inelastic rate, $\hbar/ \tau_{ee}$, can become of the order of, or larger, than the band splitting energy. We show that in suchsystems, contrary to the common knowledge, the…

Strongly Correlated Electrons · Physics 2017-10-11 Igor Aleiner , Oded Agam

We study the temperature-dependent optical properties of gold over a broad energy spectrum covering photon energies below and above the interband threshold. We apply a semi-analytical Drude-Lorentz model with temperature-dependent…

Materials Science · Physics 2024-04-26 P. D. Ndione , S. T. Weber , D. O. Gericke , B. Rethfeld

The properties of a dissipative system depend on the spectral density of the coupling to the environment. Mostly, the dependence on the low-frequency behavior is in the focus of interest. However, in order to avoid divergencies, it is also…

Statistical Mechanics · Physics 2015-10-09 Benjamin Spreng , Gert-Ludwig Ingold , Ulrich Weiss

The temperature dependence of the symmetry energy and the symmetry free energy coefficients of atomic nuclei is investigated in a finite temperature Thomas-Fermi framework employing the subtraction procedure. A substantial decrement in the…

Nuclear Theory · Physics 2015-06-04 J. N. De , S. K. Samaddar