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Strongly interacting matter such as nuclear or quark matter leads to few-body bound states and correlations of the constituents. As a consequence quantum chromodynamics has a rich phase structure with spontaneous symmetry breaking,…

Nuclear Theory · Physics 2009-11-10 M. Beyer , S. Mattiello , S. Strauss , T. Frederico , H. J. Weber , P. Schuck , S. A. Sofianos

We characterize the soliton solutions of the nonlinear Schroedinger equation on the half line with linearizable boundary conditions. Using an extension of the solution to the whole line and the corresponding symmetries of the scattering…

Exactly Solvable and Integrable Systems · Physics 2015-05-13 Gino Biondini , Guenbo Hwang

Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems…

Quantum Gases · Physics 2015-10-02 G. Kordas , D. Witthaut , P. Buonsante , A. Vezzani , R. Burioni , A. I. Karanikas , S. Wimberger

We describe the propagation of singularities of tempered distributional generalized eigenfunctions of many-body Hamiltonians at non-threshold energies under the assumption that the inter-particle interactions are real-valued polyhomogeneous…

Analysis of PDEs · Mathematics 2007-05-23 Andras Vasy

In this paper, we consider some second-order effective Hamiltonians describing the interaction of the quantum electromagnetic field with atoms or molecules in the nonrelativistic limit. Our procedure is valid only for off-energy-shell…

Quantum Physics · Physics 2021-12-13 Roberto Passante , Lucia Rizzuto

In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Henry Mittenzwey , Andreas Knorr , Thorsten Deilmann

We consider dipolar interactions between heteronuclear molecules in low-dimensional geometries. The setup consists of two one-dimensional tubes. We study the stability of possible few-body complexes in the regime of repulsive intratube…

Quantum Gases · Physics 2011-12-06 N. T. Zinner , B. Wunsch , I. B. Mekhov , S. -J. Huang , D. -W. Wang , E. Demler

Two-particle lattice states are important for physics of magnetism, superconducting oxides, and cold quantum gases. The quantum-mechanical lattice problem is exactly solvable for finite-range interaction potentials. A two-body Schroedinder…

Superconductivity · Physics 2023-12-25 Pavel E. Kornilovitch

Two-body dissipation usually gives rise to a complex interaction. Here, we study the effect of two-body dissipation on few-body physics, including the fundamental two-body effective scattering and the three-body Efimov physics. By employing…

Quantum Gases · Physics 2021-12-30 Lihong Zhou , Xiaoling Cui

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

We solve the Lippmann-Schwinger equation describing elastic scattering of preformed pairs (e.g. bipolarons) off a short-range scattering center and find the two-particle transmission through a thin potential barrier. While the pair…

Strongly Correlated Electrons · Physics 2007-05-23 A. S. Alexandrov , A. M. Bratkovsky , P. E. Kornilovitch

We review some unresolved theoretical issues in three-dimensional two-component Fermi gases, drawing on recent experiments on cold atoms in immaterial traps close to a magnetic Feshbach resonance. We distinguish successively (i) the open…

Quantum Gases · Physics 2025-05-20 Yvan Castin

Cavity-polaritons in semiconductor microstructures have emerged as a promising system for exploring nonequilibrium dynamics of many-body systems. Key advances in this field, including the observation of polariton condensation,…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Aymeric Delteil , Thomas Fink , Anne Schade , Sven Höfling , Christian Schneider , Ataç Imamoğlu

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

We show that two photons coupled to Rydberg states via electromagnetically induced transparency can interact via an effective Coulomb potential. This interaction gives rise to a continuum of two-body bound states. Within the continuum,…

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch

We propose a novel multi-component system of nonlinear equations that generalizes the short pulse (SP) equation describing the propagation of ultra-short pulses in optical fibers. By means of the bilinear formalism combined with a hodograph…

Exactly Solvable and Integrable Systems · Physics 2015-06-03 Yoshimasa Matsuno

Macro properties of cold atomic gases are driven by few-body correlations, even if the gas has thousands of particles. Quantum systems composed of two and three particles with attractive zero\=/range pairwise interactions are considered for…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti

We present a detailed analysis of the dynamics of photon transport in waveguiding systems in the presence of a two-level system. In these systems, quantum interference effects generate a strong effective optical nonlinearity on the…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Paolo Longo , Peter Schmitteckert , Kurt Busch

We introduce a -- somewhat holographic -- dictionary between gravitational observables for scattering processes (measured at the "boundary") and adiabatic invariants for bound orbits (in the "bulk"), to all orders in the Post-Minkowskian…

High Energy Physics - Theory · Physics 2020-06-03 Gregor Kälin , Rafael A. Porto
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