Discrete breathers—advances in theory and applications

S Flach, AV Gorbach - Physics Reports, 2008 - Elsevier
Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

Quantum breathers in a finite Heisenberg spin chain with antisymmetric interactions

ZI Djoufack, A Kenfack-Jiotsa, JP Nguenang - The European Physical …, 2012 - Springer
A study of the likelihood of quantum breathers in a quantum Heisenberg spin system
including a Dzyaloshinsky-Moriya interaction (DMI) is done through an extended Bose …

Quantum signatures of breathers in a finite Heisenberg spin chain

ZI Djoufack, A Kenfack-Jiotsa… - Journal of Physics …, 2010 - iopscience.iop.org
A map of a quantum Heisenberg spin chain into an extended Bose–Hubbard-like
Hamiltonian is set up. Within this framework, the spectrum of the corresponding Bose …

Quantum -breathers in a finite Bose-Hubbard chain: The case of two interacting bosons

JP Nguenang, RA Pinto, S Flach - Physical Review B—Condensed Matter and …, 2007 - APS
We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard Hamiltonian
in a finite one-dimensional lattice containing two bosons. The interaction between the …

Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement

RA Pinto, S Flach - Physical Review B—Condensed Matter and Materials …, 2008 - APS
We consider the classical and quantum dynamics of excitations in a system of two
capacitively coupled Josephson junctions. In the classical case the equations of motion …

Quantum vibrational polarons: Crystalline acetanilide revisited

P Hamm, J Edler - Physical Review B—Condensed Matter and Materials …, 2006 - APS
We discuss a refined theoretical description of the peculiar spectroscopy of crystalline
acetanilide (ACN). Acetanilide is a molecular crystal with quasi-one-dimensional chains of …

Aharonov-Bohm effect for an exciton in a finite-width nanoring

F Palmero, J Dorignac, JC Eilbeck, RA Römer - Physical Review B …, 2005 - APS
We study the Aharonov-Bohm effect for an exciton on a nanoring using a 2D attractive
fermionic Hubbard model. We extend previous results obtained for a 1D ring, in which only …

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

ZI Djoufack, A Kenfack-Jiotsa… - International Journal of …, 2017 - World Scientific
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 …

Quantization of β-Fermi–Pasta–Ulam lattice with nearest and next-nearest neighbor interactions

A Kibey, R Sonone, B Dey, JC Eilbeck - Physica D: Nonlinear Phenomena, 2015 - Elsevier
We quantize the β-Fermi–Pasta–Ulam (FPU) model with nearest and next-nearest neighbor
interactions using a number conserving approximation and a numerically exact …

Quantum breathers and modulational instability in quantum zigzag spin chains with alternative combination ferromagnetic and antiferromagnetic interactions in an …

ZI Djoufack, JP Nguenang, A Kenfack-Jiotsa - Journal of Magnetism and …, 2019 - Elsevier
Quantum breathers properties and modulational instability in quantum zigzag spin chains
with alternative combination ferro-antiferromagnetic interactions are carried out. For a few …