Ultracold bosons with short-range interaction in regular optical lattices

KV Krutitsky - Physics Reports, 2016 - Elsevier
During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

Efficient and flexible approach to simulate low-dimensional quantum lattice models with large local Hilbert spaces

T Köhler, J Stolpp, S Paeckel - SciPost Physics, 2021 - scipost.org
Quantum lattice models with large local Hilbert spaces emerge across various fields in
quantum many-body physics. Problems such as the interplay between fermions and …

Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose-Hubbard model

S Ejima, H Fehske, F Gebhard, K zu Münster… - Physical Review A …, 2012 - APS
We use strong-coupling perturbation theory, the variational cluster approach (VCA), and the
dynamical density-matrix renormalization group (DDMRG) method to investigate static and …

Comparative study of state-of-the-art matrix-product-state methods for lattice models with large local Hilbert spaces without U (1) symmetry

J Stolpp, T Köhler, SR Manmana, E Jeckelmann… - Computer Physics …, 2021 - Elsevier
Lattice models consisting of high-dimensional local degrees of freedom without global
particle-number conservation constitute an important problem class in the field of strongly …

Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model

M Dalmonte, W Lechner, Z Cai, M Mattioli, AM Läuchli… - Physical Review B, 2015 - APS
We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard
model where particles interact via soft-shoulder potentials in one dimension. Using a …

Spectral and entanglement properties of the bosonic Haldane insulator

S Ejima, F Lange, H Fehske - Physical Review Letters, 2014 - APS
We discuss the existence of a nontrivial topological phase in one-dimensional interacting
systems described by the extended Bose-Hubbard model with a mean filling of one boson …

Tomonaga-Luttinger-liquid criticality: Numerical entanglement entropy approach

S Nishimoto - Physical Review B—Condensed Matter and Materials …, 2011 - APS
The von Neumann entanglement entropy is studied with the density-matrix renormalization-
group technique. We propose a simple approach to calculate the central charge using the …

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic Heisenberg chain in a magnetic field

SR Manmana, AM Läuchli, FHL Essler, F Mila - Physical Review B …, 2011 - APS
We investigate the properties of the Heisenberg S= 1 chain with bilinear and biquadratic
interactions in a magnetic field using the density-matrix renormalization-group, Bethe …

Boson Pairing and Unusual Criticality in a Generalized Model

Y Shi, A Lamacraft, P Fendley - Physical review letters, 2011 - APS
We discuss the unusual critical behavior of a generalized XY model containing both 2 π-
periodic and π-periodic couplings between sites, allowing for ordinary vortices and half …

Quantum tricriticality of bosonic atomic-molecular mixtures with Feshbach coupling

YH Chen, DC Zheng, R Liao - Physical Review A, 2024 - APS
We identify that coherent interconversion can stabilize bosonic atomic-molecular mixtures by
establishing a comprehensive and analytical phase diagram, which can accommodate up to …