The Bose–Hubbard model gives a description of the physics of interacting spinless bosons on a lattice. It is closely related to the Hubbard model that...

fermions, as in Hubbard's original work, or bosons, in which case the model is referred to as the "Bose–Hubbard model". The Hubbard model is a useful approximation...

each with a two-level atom. Unlike in the competing Bose–Hubbard model, Jaynes–Cummings–Hubbard dynamics depend on photonic and atomic degrees of freedom...

2009, Y. Lahini et al. realized the Aubry–André model in photonic lattices. Arnold tongue Bose–Hubbard model Aubry, Serge, and Gilles André. "Analyticity...

different Hamiltonians, such as the Bose–Hubbard model, the Kagome lattice and Sachdev–Ye–Kitaev model, and the Aubry–André model. By studying the evolution of...

a model of emergent locality" A. Hamma, F. Markopoulou, S. Loyd, F. Caravelli, S. Severini, K. Markstrom (27 Nov 2009) "A quantum Bose-Hubbard model with...

insulators. The effect is related to metal–insulator transitions (Bose–Hubbard model).[citation needed] Topological insulators are challenging to synthesize...

Severini, Simone; Markstrom, Klas (2010). "A quantum Bose-Hubbard model with evolving graph as toy model for emergent spacetime". Physical Review D. 81 (10):...

trapped ions for quantum computing and describing how to realize the Bose-Hubbard model and associated phase transitions in ultracold gases." 2007 John Iliopoulos...

In condensed matter physics, a Bose–Einstein condensate (BEC) is a state of matter that is typically formed when a gas of bosons at very low densities...

[citation needed] Dorlas has worked on a lattice model of a boson gas called the Bose–Hubbard model, on models of a spin glass and on Anderson localisation...

Kurdestany; R. V. Pai; R. Pandit (2012). "The inhomogeneous extended Bose-Hubbard model: a mean-field theory". Annalen der Physik. 524 (3–4): 234–244. arXiv:1201...

waves). The first model that treated a gas with several bosons, was the photon gas, a gas of photons, developed by Bose. This model leads to a better...

Bose–Einstein condensation (network theory) Bose–Einstein correlations Bose–Einstein statistics Bose–Hubbard model Boson Boson star Bosonic field Bosonic string...

the six-vertex model of ice in two dimensions, the one-dimensional delta Bose gas (now called the Lieb-Liniger model) and the Hubbard model. Together with...

impurity model Gaudin model XXX and XXZ Heisenberg spin chain for arbitrary spin s {\displaystyle s} Hubbard model Kondo model Lieb–Liniger model Six-vertex...

in optical lattices as a model of systems of solid-state physics, and observed short-range antiferromagnetism in a Hubbard system, similar to physics...

thus follow Fermi–Dirac statistics. The equivalent model for integer spin particles is called the Bose gas (an ensemble of non-interacting bosons). At low...

PMID 22107273. Ho, Tin-Lun (2020). "Imaging the Holon string of the Hubbard model". Proceedings of the National Academy of Sciences. 117 (42): 26141–26144...

Superfluidity often co-occurs with Bose–Einstein condensation, but neither phenomenon is directly related to the other; not all Bose–Einstein condensates can be...

interface and phase field models. Johnson, T. H.; Yuan, Y.; Bao, W.; Clark, S. R.; Foot, C.; Jaksch, D. (14 June 2016). "Hubbard Model for Atomic Impurities...

interactions between electrons. One of the simplest models that can capture Mott transition is the Hubbard model. The band gap in a Mott insulator exists between...

integer-spin particles obeying Bose statistics in the low-density limit. In some systems, where the interactions are repulsive, a Bose–Einstein condensed state...

existence of this state was provided by several experiments using atomic Bose–Einstein condensates. The general conditions required for supersolidity to...

are used to engineer one-, two- and three-dimensional lattices for a Hubbard model with pre-specified parameters, and to study phase transitions for antiferromagnetic...

Chandra Bose, who claimed to have discovered that playing certain kinds of music in the area where plants grew caused them to grow faster. Bose used a...

Ising model. In this model, we have spins arranged on a d {\displaystyle d} -dimensional lattice with only nearest neighbor interactions. This model can...

of other systems, including the unitary Fermi gas and the Ising and Hubbard models. Ultracold atoms could also be used for realization of quantum computers...

model describing interacting electrons (or other fermions) in a one-dimensional conductor (e.g. quantum wires such as carbon nanotubes). Such a model...

repulsion in a Bose gas with delta-function interactions, as well as for interacting spins and Hubbard model in one dimension, and for other models solvable...