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Electron pairing in one-dimensional binary Hubbard chains is studied for different values of the band-filling using the Density Matrix Renormalization Group method. The systems consist of linear arrays of sites with two types of on-site…

Strongly Correlated Electrons · Physics 2015-05-18 Y. Arredondo , O. Navarro

We introduce a model to study the collisions of two ultracold diatomic molecules in one dimension interacting via pairwise potentials. We present results for this system, and argue that it offers lessons for real molecular collisions in…

Quantum Physics · Physics 2019-06-18 Jia K. Yao , Nirav P. Mehta , Kaden R. A. Hazzard

An exact diagonalization technique is used to investigate the low-lying excited polaron states in the Holstein model for the infinite one-dimensional lattice. For moderate values of the adiabatic ratio, a new and comprehensive picture,…

Condensed Matter · Physics 2009-11-07 Osor S. Barisic

We explore properties of atoms whose magnetic hyperfine sub-levels are coupled by an external magnetic radio frequency (rf) field. We perform a thorough theoretical analysis of this driven system and present a number of systematic…

Atomic Physics · Physics 2007-05-23 I. Lesanovsky , S. Hofferberth , J. Schmiedmayer , P. Schmelcher

Understanding the vibrational and thermal properties of amorphous solids is one of the most discussed and long-standing issues in condensed matter physics. Recent works have made significant steps towards understanding harmonic vibrational…

Soft Condensed Matter · Physics 2020-02-28 Hideyuki Mizuno , Masanari Shimada , Atsushi Ikeda

Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilising either a time-dependent mean-field…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

We analyze the microscopic few-body properties of dipolar particles confined in two parallel quasi-one-dimensional harmonic traps. In particular, we show that an adiabatic rotation of the dipole orientation about the trap axes can drive an…

Quantum Gases · Physics 2018-03-07 J. Bjerlin , J. Bengtsson , F. Deuretzbacher , L. H. Kristinsdóttir , S. M. Reimann

We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of coordinates constant adiabatic coupling. As a…

Statistical Mechanics · Physics 2007-05-23 V. A. Benderskii , E. V. Vetoshkin , E. I. Kats

We review basic theoretical concepts and developments regarding the local and itinerant properties of off-center vibronic polarons in crystals. These include the electron self-trapping and the local rotation of the species on a square…

Superconductivity · Physics 2007-05-23 M. Georgiev

Recent microwave experiments demonstrate the anapole-moment and magnetoelectric properties in quasi-2D ferrite particles with magnetic-dipolar-wave oscillating spectra. The theory developed in this paper shows that there are the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. O. Kamenetskii

The particular properties of dynamics are discussed for the dissipatively coupled van der Pol oscillators, non-identical in values of parameters controlling the Hopf bifurcation. Possibility of a special synchronization regime in an…

Chaotic Dynamics · Physics 2013-07-01 Alexander P. Kuznetsov , Julia P. Roman

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

Superconductivity · Physics 2023-03-01 Nina Girotto , Dino Novko

Using a variational approximation we study discrete solitons of a nonlinear Schroedinger lattice with a cubic-quintic nonlinearity. Using an ansatz with six parameters we are able to approximate bifurcations of asymmetric solutions…

Pattern Formation and Solitons · Physics 2009-04-23 C. Chong , D. E. Pelinovsky

Weak-coupling expansions (conserving approximations) are carried out for the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice) that include all bandstructure and vertex correction effects. Quantum…

Condensed Matter · Physics 2009-10-22 J. K. Freericks , D. J. Scalapino

In the weak regime, we suggest a model where superconductivity types I and II bind assuming an adiabatic hypothesis where the frequency of oscillation of free electrons is much smaller than of polarons coupled to phonons, and an itinerant…

Superconductivity · Physics 2014-06-11 Paulo Sérgio de Abreu Bonfim

Taking into account microscopic properties of most usual high-$T_{c}$ superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the two-dimensional…

Superconductivity · Physics 2016-10-25 J. -B. Bru , A. Delgado de Pasquale , W. de Siqueira Pedra

The nonrelativistic variational calculation of a complete set of ro-vibrational states in the H$_2^+$ molecular ion supported by the ground $1s\sigma$ adiabatic potential is presented. It includes both bound states and resonances located…

Atomic Physics · Physics 2020-11-03 Vladimir I. Korobov

We investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Marco Grilli , Walter Stephan

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

Replacing independent single quantum wells inside a strongly-coupled semiconductor microcavity with double quantum wells produces a special type of polariton. Using asymmetric double quantum wells in devices processed into mesas allows the…