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We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac

We propose a new method to characterize the spatial distribution of particles' vibrations in solids with much lower computational costs compared to the usual normal mode analysis. We excite the specific vibrational mode in a two dimensional…

Soft Condensed Matter · Physics 2016-05-24 Elsen Tjhung , Takeshi Kawasaki

We develop a model of molecular binding based on the Bohr-Sommerfeld description of atoms together with a constraint taken from conventional quantum mechanics. The model can describe the binding energy curves of H2, H3 and other molecules…

Chemical Physics · Physics 2009-11-11 Anatoly A. Svidzinsky , Siu A. Chin , Marlan O. Scully

We extract the dynamics implicit in an algebraic fitted model Hamiltonian for the hydrogen chromophore's vibrational motion in the molecule $CF_3CHFI$. The original model has 4 degrees of freedom, three positions and one representing…

Chemical Physics · Physics 2017-09-13 C. Jung , C. Mejia-Monasterio , H. S. Taylor

Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasi-particle associated with a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuichi Shindou , Leon Balents

Coupling between tuneable broadband modes of an array of plasmonic metamolecules and a vibrational mode of carbonyl bond of poly(methyl methacrylate) is shown experimentally to produce a Fano resonance, which can be tuned in situ by varying…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 E. J. Osley , C. G. Biris , P. G. Thompson , R. R. F. Jahromi , P. A. Warburton , N. C. Panoiu

We have carried out quantum dynamical calculations of vibrational quenching in Li + Li_2 collisions for both bosonic 7Li and fermionic 6Li. These are the first ever such calculations involving fermionic atoms. We find that for the low…

Soft Condensed Matter · Physics 2009-11-10 Marko T. Cvitas , Pavel Soldan , Jeremy M. Hutson , Pascal Honvault , Jean-Michel Launay

We report on the observation of coherent molecular vibrations launched by the breaking of a molecular bond. The methyl radical, which is produced by $267\,\mathrm{nm}$ photodissociation of methyl iodide, is excited to high levels in its…

We introduce a method for accurate quantum chemical calculations based on a simple variational wave function, defined by a single geminal that couples all the electrons into singlet pairs, combined with a real space correlation factor. The…

Materials Science · Physics 2009-10-22 M. Marchi , S. Azadi , M. Casula , S. Sorella

We present an algebraic U(7) model for baryons which encompasses both single-particle and collective forms of quark dynamics. The mass operator by construction preserves the permutation symmetry between identical quarks. The underlying…

Nuclear Theory · Physics 2007-05-23 R. Bijker , A. Leviatan

The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

In the present paper the resonances of vibrational modes in one-dimensional random Morse lattice are found and analyzed. The resonance energy exchange is observed at some values of elongation. Resonance $2 \omega_1 = \omega_2$ is…

Chaotic Dynamics · Physics 2008-02-08 T. Yu. Astakhova , N. S. Erikhman , V. N. Likhachev , G. A. Vinogradov

Explicit algebraic expressions for the expansion of the vibrational matrix elements in series of matrix elements on the wave functions of the ground vibrational state have been obtained for arbitrary sufficiently differentiable functions of…

Atomic Physics · Physics 2011-12-30 S. A. Astashkevich

The adsorption structure of the molecular switch azobenzene on Ag(111) is investigated by a combination of normal incidence x-ray standing waves and dispersion-corrected density functional theory. The inclusion of non-local collective…

Vibrational spectroscopy is key for probing the interplay between the structure and dynamics of aqueous systems. In order to map different regions of experimental spectra to the microscopic structure of a system, it is important to combine…

Chemical Physics · Physics 2021-08-09 Sam Shepherd , Jinggang Lan , David M. Wilkins , Venkat Kapil

A two-parameter quantum algebra $U_{qp}({\rm u}_2)$ is briefly investigated in this paper. The basic ingredients of a model based on the $U_{qp}({\rm u}_2)$ symmetry, the $qp$-rotator model, are presented in detail. Some general tendencies…

Nuclear Theory · Physics 2009-10-30 R. Barbier , M. Kibler

We test a non equilibrium approach to study the behavior of a Bose-Fermi mixture of alkali atoms in the presence of a Feshbach resonance between bosons and fermions. To this end we derive the Hartree-Fock-Bogoliubov (HFB) equations of…

Statistical Mechanics · Physics 2016-08-31 Daniele C. E. Bortolotti , Alexandr V. Avdeenkov , Christopher Ticknor , John L. Bohn

Rates of conversions of molecular internal energy to and from kinetic energy by means of molecular collision allows to compute collisional line shapes and transport properties of gases. Knowledge of ro-vibrational quenching rates is…

Chemical Physics · Physics 2022-07-27 Laurent Wiesenfeld

Quantum chemical calculations of the ground-state properties of positron-molecule complexes are challenging. The main difficulty lies in employing an appropriate basis set for representing the coalescence between electrons and a positron.…

Computational Physics · Physics 2024-02-08 G. Cassella , W. M. C. Foulkes , D. Pfau , J. S. Spencer

Time-resolved Raman spectroscopy techniques offer various ways to study the dynamics of molecular vibrations in liquids or gases and optical phonons in crystals. While these techniques give access to the coherence time of the vibrational…

Quantum Physics · Physics 2021-04-06 Santiago Tarrago Velez , Vivishek Sudhir , Nicolas Sangouard , Christophe Galland