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The energy spectrum of the quantum Klein-Gordon lattice is computed numerically for different nonlinear contributions to the Hamiltonian. In agreement with the studies on the effective Hubbard Hamiltonian for boson quasi-particles (see for…

Materials Science · Physics 2007-05-23 L. Proville

In this paper, we investigate the nonlinear Klein-Gordon equation on a metric star graph with three semi-infinite bonds. At the branching point, we impose a weighted continuity condition and a generalized weighted Kirchhoff condition for…

Pattern Formation and Solitons · Physics 2025-10-22 Q. U. Asadov , K. K. Sabirov , J. R. Yusupov

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

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

Although the rutile structure of TiO$_2$ is stable at high temperatures, the conventional quasiharmonic approximation predicts that several acoustic phonons decrease anomalously to zero frequency with thermal expansion, incorrectly…

Materials Science · Physics 2015-08-19 Tian Lan , C. W. Li , O. Hellman , D. Kim , J. A. Muñoz , H. Smith , D. L. Abernathy , B. Fultz

We propose an ansatz without adjustable parameters for the calculation of dynamical structure factor. The ansatz combines quasi-particle Green's function, especially the contribution from the renormalization factor, and the…

Materials Science · Physics 2024-03-12 Yupei Zhang , Chongjie Mo , Ping Zhang , Wei Kang

We present a new method aiming at a non-perturbative, model-independent determination of the momentum dependence of the form factors entering semileptonic decays using unitarity and analyticity constraints. We extend the original proposal…

High Energy Physics - Lattice · Physics 2021-11-30 Matteo Di Carlo , Guido Martinelli , Manuel Naviglio , Francesco Sanfilippo , Silvano Simula , Ludovico Vittorio

The lattice dynamics of coesite has been studied by a combination of diffuse x-ray scattering, inelastic x-ray scattering and an ab initio lattice dynamics calculation. The combined technique gives access to the full lattice dynamics in…

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

Mathematical Physics · Physics 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

The dynamical structure factor $S(q,\omega)$ of the K-component (K = 2,3,4) spin chain with the 1/r^2 exchange is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of a free…

Strongly Correlated Electrons · Physics 2009-10-31 Takashi Yamamoto , Yasuhiro Saiga , Mitsuhiro Arikawa , Yoshio Kuramoto

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. A direct calculation of the Compton amplitude in a lattice QCD setup provides a way to accessing the structure functions,…

We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T. We reveal that an effective dynamic…

Disordered Systems and Neural Networks · Physics 2018-08-29 A. V. Savin , Y. S. Kivshar , M. I. Molina

The dynamical structure factor of a Coulomb crystal of ions is calculated at arbitrary temperature below the melting point taking into account multi-phonon processes in the harmonic approximation. In a strongly coupled Coulomb ion liquid,…

Plasma Physics · Physics 2007-05-23 D. A. Baiko , A. D. Kaminker , A. Y. Potekhin , D. G. Yakovlev

We present an analytical and numerical study of the Klein-Gordon kink-soliton dynamics in inhomogeneous media. In particular, we study an external field that is almost constant for the whole system but that changes its sign at the center of…

patt-sol · Physics 2015-06-26 L. E. Guerrero , A. Bellorin , J. R. Carbo , J. A. Gonzalez

We determine the dynamical structure factor of the two-leg spin-1/2 Heisenberg ladder at low temperatures in the regime of strong rung coupling. The dominant feature at zero temperature is the coherent triplon mode. We show that the…

Strongly Correlated Electrons · Physics 2010-09-17 W. D. Goetze , U. Karahasanovic , F. H. L. Essler

We study the dynamic structure factor of a one-dimensional Bose gas confined in an optical lattice and modeled by the Bose-Hubbard Hamiltonian, using a variety of numerical and analytical approaches. The dynamic structure factor,…

Quantum Gases · Physics 2013-06-28 Guillaume Roux , Anna Minguzzi , Tommaso Roscilde

We study the impact of phonon anharmonicity on the electronic dynamics of soft materials using a nonperturbative quantum-classical approach. The method is applied to a one-dimensional model of doped organic semiconductors with low-frequency…

Materials Science · Physics 2025-09-24 Jonathan H. Fetherolf , Petra Shih , Timothy C. Berkelbach

We investigate the effect of the breaking of integrability in the integrals of motion of a sine-Gordon-like system. The class of quasi-integrable models, discussed in the literature, inherits some of the integrable properties they are…

Exactly Solvable and Integrable Systems · Physics 2024-08-20 P. H. S. Palheta , P. E. G. Assis , T. M. N. Gonçalves

An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over…

Quantum Gases · Physics 2025-08-26 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

We compute the exact 4-spinon contribution to the zero-temperature dynamical structure factor of the spin-1/2 Heisenberg isotropic antiferromagnet in zero magnetic field, directly in the thermodynamic limit. We make use of the expressions…

Strongly Correlated Electrons · Physics 2016-05-17 J. -S. Caux , R. Hagemans