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Nonlinear dynamics on graphs has rapidly become a topical issue with many physical applications, ranging from nonlinear optics to Bose-Einstein condensation. Whenever in a physical experiment a ramified structure is involved, it can prove…

Analysis of PDEs · Mathematics 2017-05-02 Riccardo Adami , Enrico Serra , Paolo Tilli

We investigate the dynamics following a global parameter quench for two 1D models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been realised in chains of trapped ions, and a long-range…

We study a system of weakly interacting electrons described by the energy dispersion $\xi(\mathbf{k}) = k_x^2 - k_y^2 - \mu$ in two dimensions within a renormalization group approach. This energy dispersion exhibits a neck-narrowing…

Strongly Correlated Electrons · Physics 2015-08-10 Sedigh Ghamari , Sung-Sik Lee , Catherine Kallin

Two infinite, two-dimensional, lattice, free fermion systems, initially in different invariant states, are allowed to communicate via two point contacts, through which direct tunneling of fermions takes place. Calculations of the local…

Mathematical Physics · Physics 2015-03-17 N. Angelescu , M. Bundaru , R. Bundaru , I. Popescu

By means of quantum mechanics and quantum electrodynamics applied to coupled harmonic Drude oscillators, we study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand…

Chemical Physics · Physics 2022-03-16 Mohammad Reza Karimpour , Dmitry V. Fedorov , Alexandre Tkatchenko

Whether or not chiral interaction exists between the optical orbital angular momentum (OAM) and a chiral molecule remains unanswered. So far, such an interaction has not been observed experimentally. Here we present a T-matrix method to…

Optics · Physics 2018-01-01 Tong Wu , Rongyao Wang , Xiangdong Zhang

We present a theoretical analysis of the nonlinear response of a metamaterial consisting of an array of split ring resonators coupled to a two level atomic system (2LS) without inversion. We calculated the total complex susceptibility and…

Optics · Physics 2011-02-23 J. L. Garcia-Pomar , R. Beigang , M. Rahm

We investigate tunneling through a short interacting wire. We identify two temperature regimes (a) $T_{Kondo}<T\le T^{wire}=\hbar v_F/k_Bd$ ($d$ is the length of the short wire) and (b) $T<T_{Kondo}\ll T^{wire}$. In the first regime the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Schmeltzer , A. Saxena , A. R. Bishop , D. L. Smith

We study the evolution of a two component fluid consisting of ``blue'' and ``red'' particles which interact via strong short range (hard core) and weak long range pair potentials. At low temperatures the equilibrium state of the system is…

Mathematical Physics · Physics 2007-05-23 S. Bastea , R. Esposito , J. L. Lebowitz , R. Marra

We investigate tunneling behavior between two bright solitons in a Bose-Einstein condensate with attractive contact interactions between atoms. The explicit tunneling properties including tunneling particles and oscillation period are…

Pattern Formation and Solitons · Physics 2018-02-13 Li-Chen Zhao , Liming Ling , Zhan-Ying Yang , Wen-Li Yang

We study optomechanical interactions in non-Hermitian photonic molecules that support two photonic states and one acoustic mode. The nonlinear steady-state solutions and their linear stability landscapes are investigated as a function of…

Optics · Physics 2016-04-19 David W. Schönleber , Alexander Eisfeld , Ramy El-Ganainy

We calculate entropy-temperature curves for interacting bosons in unit filled optical lattices for both homogeneous and harmonically trapped situations, and use them to understand how adiabatic changes in the lattice depth affect the…

Statistical Mechanics · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , J. V. Porto

Starting from a set of different two- and three-nucleon interactions from chiral effective field theory, we use the importance-truncated no-core shell model for ab initio calculations of excitation energies as well as electric quadrupole…

Nuclear Theory · Physics 2016-08-08 Angelo Calci , Robert Roth

The instability of a Fermi surface against Ising nematic order destroys the quasiparticle character of the low-energy degrees of freedom. Therefore, observables exhibit deviations from Fermi liquid behavior which gives rise to the term…

Strongly Correlated Electrons · Physics 2020-11-17 Bernhard Frank , Francesco Piazza

We study the persistent current of correlated spinless electrons in a continuous one-dimensional ring with a single weak link. We include correlations by solving the many-body Schrodinger equation for several tens of electrons interacting…

Mesoscale and Nanoscale Physics · Physics 2009-02-16 R. Németh , M. Moško , R. Krčmár , A. Gendiar , M. Indlekofer , L. Mitas

The static-exchange model (SEM) and the modified static-exchange model (MSEM) recently introduced by Ray [1] is applied to study the elastic collision between two hydrogen-like atoms when both are in ground states considering the system as…

Atomic Physics · Physics 2016-06-29 Hasi Ray

Euler alignment systems appear as hydrodynamic limits of interacting self-propelled particle systems such as the (generalized) Cucker-Smale model. In this work, we study weak solutions to an Euler alignment system on smooth, bounded,…

Analysis of PDEs · Mathematics 2023-05-24 Amoolya Tirumalai , Christos Mavridis , John S. Baras

We propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

Other Condensed Matter · Physics 2008-07-01 Johan Mentink , Servaas Kokkelmans

Understanding collisions between ultracold molecules is crucial for making stable molecular quantum gases and harnessing their rich internal degrees of freedom for quantum engineering. Transient complexes can strongly influence collisional…

Understanding quantum tunneling in many-body systems is crucial for advancing quantum technologies and nanoscale device design. Despite extensive studies of quantum tunneling, the role of interactions in determining directional transport…