One dimensional bosons: From condensed matter systems to ultracold gases

MA Cazalilla, R Citro, T Giamarchi, E Orignac… - Reviews of Modern …, 2011 - APS
The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

F Verstraete, V Murg, JI Cirac - Advances in physics, 2008 - Taylor & Francis
Full article: Matrix product states, projected entangled pair states, and variational
renormalization group methods for quantum spin systems Skip to Main Content Taylor and …

Continuous symmetry breaking in a two-dimensional Rydberg array

C Chen, G Bornet, M Bintz, G Emperauger, L Leclerc… - Nature, 2023 - nature.com
Spontaneous symmetry breaking underlies much of our classification of phases of matter
and their associated transitions,–. The nature of the underlying symmetry being broken …

Correlated Lattice Fermions in Dimensions

W Metzner, D Vollhardt - Physical review letters, 1989 - APS
We show that even in d=∞ dimensions the Hubbard model, when scaled properly,
describes nontrivial correlations among fermions. Diagrammatic treatments are found to be …

[图书][B] Field theories of condensed matter physics

E Fradkin - 2013 - books.google.com
Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

Bose-Einstein condensation in the alkali gases: Some fundamental concepts

AJ Leggett - Reviews of modern physics, 2001 - APS
The author presents a tutorial review of some ideas that are basic to our current
understanding of the phenomenon of Bose-Einstein condensation (BEC) in the dilute atomic …

[图书][B] The mathematics of the Bose gas and its condensation

EH Lieb, R Seiringer, JP Solovej, J Yngvason - 2005 - books.google.com
The mathematical study of the Bose gas goes back to the? rst quarter of the twentieth
century, with the invention of quantum mechanics. The name refers to the Indian physicist …

Modified spin-wave theory of a square-lattice antiferromagnet

M Takahashi - Physical Review B, 1989 - APS
A modified spin-wave theory for the Heisenberg antiferromagnet (scrH= J) is formulated
under the assumption of zero sublattice magnetization in the same way with the Heisenberg …

Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states

V Murg, F Verstraete, JI Cirac - Physical Review A—Atomic, Molecular, and …, 2007 - APS
We have studied the system of hard-core bosons on a two-dimensional optical lattice using
a variational algorithm based on projected entangled-pair states. We have investigated the …

Linked-cluster expansion around the atomic limit of the Hubbard model

W Metzner - Physical Review B, 1991 - APS
We develop a perturbation expansion in the intersite hopping around the atomic limit of the
Hubbard model. It is valid for arbitrary finite temperatures and interaction strengths …