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We examine a collection of particles interacting with inverse-square two-body potentials in the thermodynamic limit. We find explicit large-amplitude density waves and soliton solutions for the motion of the system. Waves can be constructed…

High Energy Physics - Theory · Physics 2009-10-28 Alexios P. Polychronakos

We study a mixture of one-dimensional bosons and spinless fermions at incommensurate filling using phenomenological bosonization and Green's functions techniques. We derive the relation between the parameters of the microscopic Hamiltonian…

Quantum Gases · Physics 2010-05-31 E. Orignac , M. Tsuchiizu , Y. Suzumura

This work establishes the algebraic structure of the Kohn-Sham equations to be solved in a density formulation of electron and phonon dynamics, including the superconducting order parameter. A Bogoliubov transform is required to diagonalize…

Superconductivity · Physics 2018-03-21 Chung-Yu Wang , T. Müller , Sangeeta Sharma , E. K. U. Gross , J. K. Dewhurst

We generalize the Beliaev diagrammatic theory of an interacting spinless Bose-Einstein condensate to the case of a binary mixture. We derive a set of coupled Dyson equations and find analytically the Green's functions of the system. The…

Quantum Gases · Physics 2018-05-30 O. I. Utesov , M. I. Baglay , S. V. Andreev

This paper deals with the evolution of the Einstein gravitational fields which are coupled to a perfect fluid. We consider the Einstein--Euler system in asymptotically flat spacestimes and therefore use the condition that the energy density…

Analysis of PDEs · Mathematics 2013-05-10 Uwe Brauer , Lavi Karp

Using an exactly solvable model, we study low-energy properties of a one-dimensional spinless electron fluid contained in a quantum-mechanically moving wire located in a static magnetic field. The phonon and electric current are coupled via…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kang-Hun Ahn , Hangmo Yi

We investigate full quantum mechanical evolution of two electrons nonlinearly coupled to quantum phonons and simulate the dynamical response of the system subject to a short spatially uniform optical pulse that couples to dipole-active…

Statistical Mechanics · Physics 2025-03-06 K. Kovač , D. Golež , M. Mierzejewski , J. Bonča

The Bogoliubov dispersion relation for the elementary excitations of the weakly-interacting Bose gas is shown to hold for the case of the weakly-interacting photon gas (the ``photon fluid'') in a nonlinear Fabry-Perot cavity. This relation,…

Quantum Physics · Physics 2009-10-31 Raymond Y. Chiao , Jack Boyce

We combine femtosecond electron diffuse scattering experiments and first-principles calculations of the coupled electron-phonon dynamics to provide a detailed momentum-resolved picture of the ultrafast lattice thermalization in a thin film…

We discuss the role of electron-electron and electron-phonon correlations in current flow in the Coulomb Blockade regime, focusing specifically on nontrivial signatures arising from the break-down of mean-field theory. By solving transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 B. Muralidharan , L. Siddiqui , A. W. Ghosh

Optical lattice plays an important role on stability and dynamics of quantum droplets. In this letter, we investigate the Bogoliubov excitation spectrum of quantum droplets in optical lattice in the thermodynamic limit. We classify the…

Quantum Gases · Physics 2023-04-14 Yuhang Nie , Jun-Hui Zheng , Tao Yang

We extend de concept of Compton scattering to the case of plasmons. This concept was originally applied to electrons in vacuum. Here, we consider electrons in a plasma, and study the scattering properties of photon-plasmon interactions. We…

Plasma Physics · Physics 2023-10-18 José Tito Mendonça , Fernando Haas

Phonons have the characteristic linear dispersion relation of massless relativistic particles. They arise as low energy excitations of Bose-Einstein condensates and, in nonhomogeneous situations, are governed by a space- and time-dependent…

Emergent excitation continua in frustrated magnets are a fingerprint of fractionalization, characteristic of quantum spin-liquid states. Recent evidence from Raman scattering for a coupling between such continua and lattice degrees of…

Strongly Correlated Electrons · Physics 2021-03-19 A. Metavitsiadis , W. Natori , J. Knolle , W. Brenig

We study the low energy phonon dynamics of a Bose-Einstein condensate (BEC) with a density profile that is equivalent, via a coordinate transformation, to phonons traveling in a \lq\lq spherical\rq\rq\ curved spacetime that realizes the…

Quantum Gases · Physics 2025-08-06 J. Austin Chunn , Ruotong Zhai , Daniel E. Sheehy

Phonons are responsible for limiting both the electron mobility and the spin relaxation time in solids and provide a mechanism for thermal transport. In view of a possible transistor function as well as spintronics applications in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-10-07 Matthias Droth , Guido Burkard

In this paper, we investigate the fluid/gravity correspondence in the framework of massive Einstein gravity. Treating the gravitational mass terms as an effective energy-momentum tensor and utilizing the Petrov-like boundary condition on a…

High Energy Physics - Theory · Physics 2016-11-18 Wen-Jian Pan , Yong-Chang Huang

The spectrum of phonon-like collective excitations in the system of Bose-atoms in optical lattice (more generally, in the system of quantum particles described by the Bose-Hubbard model) is investigated. Such excitations appear due to…

Statistical Mechanics · Physics 2015-12-25 I. V. Stasyuk , O. V. Velychko , O. Vorobyov

The relativistic kinetic theory of the phonon gas in superfluids is developed. The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir Popov

We consider a dilute gas of bosons with repulsive contact interactions, described on the mean-field level by the Gross-Pitaevskii equation, and bounded by an impenetrable "hard" wall (either rigid or flexible). We solve the Bogoliubov-de…

Quantum Gases · Physics 2019-05-13 Peter V. Pikhitsa , Uwe R. Fischer