WebHamiltonian which describes the competition between kinetic energy and potential energy effects. Various aspects of this model were investigated analytically by mean-field … The Bose–Hubbard model can be used to describe physical systems such as bosonic atoms in an optical lattice, as well as certain magnetic insulators. Furthermore, it can be generalized and applied to Bose–Fermi mixtures, in which case the corresponding Hamiltonian is called the … See more 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 originated in solid-state physics as an approximate … See more At zero temperature, the Bose–Hubbard model (in the absence of disorder) is in either a Mott insulating state at small $${\displaystyle t/U}$$, or in a superfluid state at large $${\displaystyle t/U}$$. The Mott insulating phases are characterized by integer boson … See more The Bose–Hubbard model is of interest in the field of quantum computation and quantum information. Entanglement of ultra-cold atoms can be studied using this model. See more The physics of this model is given by the Bose–Hubbard Hamiltonian: Here, $${\displaystyle \left\langle i,j\right\rangle }$$ denotes summation over all neighboring lattice sites $${\displaystyle i}$$ See more Ultracold atoms in optical lattices are considered a standard realization of the Bose–Hubbard model. The ability to tune model parameters … See more Quantum phase transitions in the Bose–Hubbard model were experimentally observed by Greiner et al., and density dependent … See more In the calculation of low energy states the term proportional to $${\displaystyle n^{2}U}$$ means that large occupation of a single site is improbable, allowing for truncation of local Hilbert space to states containing at most $${\displaystyle d<\infty }$$ particles. … See more

Phase diagram of the Bose-Hubbard Model. - Georgetown …

WebJan 12, 2024 · The Hubbard model was originally introduced as a description of the motion of electrons in transition metals with the motivation of understanding their magnetic … WebJan 30, 2024 · Summary 1. Introduce quantum phase transition in the Bose-Hubbard model. 2. Emphasize vanishing energy scales and universality at the quantum critical point. 3. Introduce microscopic theories to describe the quantum phase transition, and explicitly show the vanishing of energy scales and the critical exponents. 4. how many monthly users does spotify have

A Hubbard model for ultracold bosonic atoms interacting via zero …

WebAug 23, 2024 · We study a simple model of interacting bosons on a d -dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole … Web1 day ago · The SM of particle physics is a well-established theory describing the building blocks and fundamental forces in the universe. This model describes weak bosons (i.e., bosons responsible for the so ... WebMar 4, 2016 · To benchmark the theory we study the Bose-Hubbard model on the two- and three-dimensional cubic lattice, comparing with exact results from path integral quantum Monte Carlo. We also study the frustrated square lattice with next-nearest neighbor hopping, which is beyond the reach of Monte Carlo simulations. how many month march 3 2022