scholarly journals Bound states and Cooper pairs of molecules in 2D optical lattices bilayer

2016 ◽  
Vol 528 (7-8) ◽  
pp. 580-587 ◽  
Author(s):  
A. Camacho-Guardian ◽  
G. A. Domínguez-Castro ◽  
R. Paredes
Keyword(s):  
Bound States ◽  
Optical Lattices ◽  
Cooper Pairs

Quantum signature of breathers in 1D ultracold bosons in optical lattices involving next-nearest neighbor interactions

2017 ◽  
Vol 31 (20) ◽  
pp. 1750140 ◽  
Author(s):  
Z. I. Djoufack ◽  
A. Kenfack-Jiotsa ◽  
J.-P. Nguenang
Keyword(s):  
Energy Spectrum ◽  
Optical Lattice ◽  
Bound States ◽  
Optical Lattices ◽  
Nearest Neighbor ◽  
Laser Light ◽  
Energy Spectra ◽  
System Parameters ◽  
Quantum Breathers ◽  
Bosonic Atoms

The dynamics and the energy spectrum of an ultracold gas of bosonic atoms in an optical lattice can be described by a Bose–Hubbard model for which the system parameters can be controlled by laser light. We study by means of the perturbation theory in addition to the numerical diagonalization, the energy spectrum and the related features of the band structures of the ultracold bosons in optical lattices containing a few number of quanta interacting with next-nearest neighbor interactions (NNNI) modeled by the Bose–Hubbard Hamiltonian. The energy spectra of such system display the bound states signature, which are analyzed in the first Brillouin zone for different wave numbers. The finding, i.e., quantum breathers, shows that their probabilities’ weight depends on the wave vector. The influence of NNNI on both the probabilities’ amplitude and the correlation function is also realized in case of a system with a small number of sites, respectively.

Scattering of particles in the presence of harmonic confinement perturbed by a complex absorbing potential

2018 ◽  
Vol 32 (09) ◽  
pp. 1850109
Author(s):  
A. Maghari ◽  
M. Mansoori Kermani
Keyword(s):  
Bound States ◽  
Optical Lattices ◽  
Harmonic Trap ◽  
Absorbing Boundary ◽  
Boundary Potential ◽  
Harmonic Confinement ◽  
Atom Interaction ◽  
Interacting Atoms ◽  
Analytical Expressions ◽  
Absorption Probabilities

A system of two interacting atoms confined in 1D harmonic trap and perturbed by an absorbing boundary potential is studied using the Lippmann–Schwinger formalism. The atom–atom interaction potential was considered as a nonlocal separable model. The perturbed absorbing boundary potential was also assumed in the form of Scarf II complex absorbing potential. The model is used for the study of 1D optical lattices that support the trapping of a pair atom within a unit cell. Moreover, it allows to describe the scattering particles in a tight smooth trapping surface and to analyze the bound and resonance states. The analytical expressions for wavefunctions and transition matrix as well as the absorption probabilities are calculated. A demonstration of how the complex absorbing potential affecting the bound states and resonances of particles confined in a harmonic trap is described.

scholarly journals Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Philip Beck ◽  
Lucas Schneider ◽  
Levente Rózsa ◽  
Krisztián Palotás ◽  
András Lászlóffy ◽  
...  
Keyword(s):  
Bound States ◽  
Theoretical Calculations ◽  
Building Blocks ◽  
Orbit Coupling ◽  
Topological Classification ◽  
Cooper Pairs ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Low Dimensional

AbstractMagnetic atoms coupled to the Cooper pairs of a superconductor induce Yu-Shiba-Rusinov states (in short Shiba states). In the presence of sufficiently strong spin-orbit coupling, the bands formed by hybridization of the Shiba states in ensembles of such atoms can support low-dimensional topological superconductivity with Majorana bound states localized on the ensembles’ edges. Yet, the role of spin-orbit coupling for the hybridization of Shiba states in dimers of magnetic atoms, the building blocks for such systems, is largely unexplored. Here, we reveal the evolution of hybridized multi-orbital Shiba states from a single Mn adatom to artificially constructed ferromagnetically and antiferromagnetically coupled Mn dimers placed on a Nb(110) surface. Upon dimer formation, the atomic Shiba orbitals split for both types of magnetic alignment. Our theoretical calculations attribute the unexpected splitting in antiferromagnetic dimers to spin-orbit coupling and broken inversion symmetry at the surface. Our observations point out the relevance of previously unconsidered factors on the formation of Shiba bands and their topological classification.

scholarly journals Modulation-induced long-range magnon bound states in one-dimensional optical lattices

2020 ◽  
Vol 22 (9) ◽  
pp. 093052
Author(s):  
Wenjie Liu ◽  
Yongguan Ke ◽  
Bo Zhu ◽  
Chaohong Lee
Keyword(s):  
Long Range ◽  
Bound States ◽  
Optical Lattices ◽  
One Dimensional

scholarly journals Andreev bound states at spin-active interfaces

2018 ◽  
Vol 376 (2125) ◽  
pp. 20150002
Author(s):  
D. Beckmann ◽  
F. Hübler ◽  
M. J. Wolf ◽  
H. v. Löhneysen
Keyword(s):  
Bound States ◽  
Hybrid Structures ◽  
Cooper Pairs ◽  
Important Ingredient ◽  
Theme Issue ◽  
Andreev Bound States ◽  
Interface Scattering ◽  
Spin Dependent Scattering ◽  
Parameter Symmetry ◽  
Order Parameter Symmetry

Andreev bound states are ubiquitous in superconducting hybrid structures. They are formed near impurities, in Josephson junctions, in vortex cores and at interfaces. At spin-active superconductor–ferromagnet interfaces, Andreev bound states are formed due to spin-dependent scattering phases. Spin-dependent phase shifts are an important ingredient for the generation of triplet Cooper pairs in superconductor–ferromagnet hybrid structures. Spectroscopy of Andreev bound states is a powerful probe of superconducting order parameter symmetry, as well as spin-dependent interface scattering and the triplet proximity effect. This article is part of the theme issue ‘Andreev bound states’.

scholarly journals Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid3He

2012 ◽  
Vol 85 (2) ◽  
Author(s):  
S. Higashitani ◽  
S. Matsuo ◽  
Y. Nagato ◽  
K. Nagai ◽  
S. Murakawa ◽  
...  
Keyword(s):  
Bound States ◽  
Energy Surface ◽  
Cooper Pairs ◽  
Zero Energy
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