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We derive universal properties of nonlinear response functions of nonequilibrium steady states. In particular, sum rules and asymptotic behaviors are derived. Their consequences are illustrated for nonlinear optical materials and nonlinear…

Statistical Mechanics · Physics 2010-10-26 Akira Shimizu

In this work we are concerned with the understanding of the collisionless drag or entrainment between two superfluids, also called Andreev-Bashkin effect, in terms of current response functions. The drag density is shown to be proportional…

Quantum Gases · Physics 2021-06-14 Donato Romito , Carlos Lobo , Alessio Recati

In the framework of the concept of time correlation functions, we develop a self-consistent relaxation theory of the transverse collective particle dynamics in liquids. The theory agrees with well-known results in both the short-wave (free…

Soft Condensed Matter · Physics 2021-03-11 A. V. Mokshin , R. M. Khusnutdinoff , Ya. Z. Vilf , B. N. Galimzyanov

We present a new density functional, which is the result of a natural evolution and improvement of previous density functional theories for liquid helium. We focus on the key ingredients of the theory, showing how they determine important…

Condensed Matter · Physics 2007-05-23 Franco Dalfovo , Andrea Lastri , Sandro Stringari

Intense ultrafast laser excitation can produce transient states of condensed matter that would otherwise be inaccessible. At high excitation level, the interatomic forces can be altered resulting in an unusual lattice dynamics. Here we…

Materials Science · Physics 2011-03-18 O. V. Misochko , M. V. Lebedev

I describe the foundation of a Density Functional Theory approach to include pairing correlations, which was applied to a variety of systems ranging from dilute fermions, to neutron stars and finite nuclei. Ground state properties as well…

Nuclear Theory · Physics 2017-08-23 Aurel Bulgac

We report the first measurement of the excitation spectrum and the static structure factor of a Bose-Einstein condensate. The excitation spectrum displays a linear phonon regime, as well as a parabolic single-particle regime. The linear…

Soft Condensed Matter · Physics 2009-11-07 J. Steinhauer , R. Ozeri , N. Katz , N. Davidson

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

Statistical Mechanics · Physics 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

We study the spin response of cold dense neutron matter in the limit of zero momentum transfer, and show that the frequency dependence of the long-wavelength spin response is well constrained by sum-rules and the asymptotic behavior of the…

Nuclear Theory · Physics 2013-02-19 G. Shen , S. Gandolfi , S. Reddy , J. Carlson

Based upon the hypothesis of simultaneous participation of helium particles in atom(atom) and pair(pair) motions, the proof of Feynman and Bogoliubov formulas validity for elementary excitations spectrum in superfluid helium is carried out…

Statistical Mechanics · Physics 2020-01-30 N. M. Blagoveshchenskii

Frequency sum rules are derived in extended quantum systems of non relativistic fermions from a minimal set of assumptions on dynamics in infinite volume, for ground and thermal states invariant under space translations or a lattice…

Other Condensed Matter · Physics 2008-04-07 A. Cintio , G. Morchio

We report an experimental investigation of the electric response of superfluid helium. Our results confirm the presence of electric potential that appears at the relative oscillatory motion of normal fluid and superfluid components in…

Other Condensed Matter · Physics 2016-05-04 Tymofiy V. Chagovets

The standing wave model describes the well-known phenomenon of superconductivity in a new way [1]. Starting from a new definition of superconductivity, a microscopic London relation is derived from first principles. The relation between the…

Superconductivity · Physics 2020-06-02 Refael Gatt

An analysis of experimental data shows that, in addition to phonon--roton excitations in superfluid helium, there necessarily exist at least one branch of elementary excitations whose energy spectrum strongly depends on temperature. On this…

Statistical Mechanics · Physics 2013-06-17 V. B. Bobrov , S. A. Trigger

We obtain a rigorous upper bound on the resistivity $\rho$ of an electron fluid whose electronic mean free path is short compared to the scale of spatial inhomogeneities. When such a hydrodynamic electron fluid supports a non-thermal…

Strongly Correlated Electrons · Physics 2018-04-24 Andrew Lucas , Sean A. Hartnoll

The interrelation between the condensation energy and the optical sum rules has been investigated. It has been shown that the so called 'partial' sum rule violation is related mainly to a temperature dependence of the relaxation rate rather…

Superconductivity · Physics 2009-11-07 A. E. Karakozov , E. G. Maksimov , O. V. Dolgov

Linear response time-dependent density functional theory is used to study low-lying electronic continuum states of targets that can bind an extra electron. Exact formulas to extract scattering amplitudes from the susceptibility are derived…

Other Condensed Matter · Physics 2009-11-11 Adam Wasserman , Neepa T. Maitra , Kieron Burke

We derive sum rules for a uniform, isotropic superfluid quark-gluon plasma with massless quarks, first laying out the phenomenological equations obeyed by a color superconductor in terms of macroscopic observables such as the superfluid…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kei Iida , Gordon Baym

From an extensive calculation of static properties of a trapped Fermi superfluid at zero temperature using a density-functional formulation, we demonstrate a universal behavior of its observables, such as energy, chemical potential, radius…

Other Condensed Matter · Physics 2009-11-13 S. K. Adhikari

A density functional theory is used to investigate the instability arising in superfluid $^4$He as it flows at velocity u just above the Landau critical velocity of rotons v_c. Confirming an early theoretical prediction by one of us [JETP…

Other Condensed Matter · Physics 2009-11-10 F. Ancilotto , F. Dalfovo , L. P. Pitaevskii , F. Toigo