The density-matrix renormalization group
U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
One-dimensional magnetism
HJ Mikeska, AK Kolezhuk - Quantum magnetism, 2004 - Springer
We present an up-to-date survey of theoretical concepts and results in the field of one-
dimensional magnetism and of their relevance to experiments and real materials. Main …
dimensional magnetism and of their relevance to experiments and real materials. Main …
New trends in density matrix renormalization
KA Hallberg - Advances in Physics, 2006 - Taylor & Francis
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
Vector chiral and multipolar orders in the spin-1 2 frustrated ferromagnetic chain in magnetic field
We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic
nearest-neighbor J 1 and antiferromagnetic next-nearest-neighbor J 2 exchange couplings …
nearest-neighbor J 1 and antiferromagnetic next-nearest-neighbor J 2 exchange couplings …
Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
Abstract Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
Ground-state phase diagram of a spin- frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
S Furukawa, M Sato, S Onoda, A Furusaki - Physical Review B—Condensed …, 2012 - APS
The ground-state phase diagram of a spin-1 2 XXZ chain with competing ferromagnetic
nearest-neighbor (J 1< 0) and antiferromagnetic second-neighbor (J 2> 0) exchange …
nearest-neighbor (J 1< 0) and antiferromagnetic second-neighbor (J 2> 0) exchange …
Bose-Hubbard model in a strong effective magnetic field: Emergence of a chiral Mott insulator ground state
Motivated by experiments on Josephson junction arrays, and cold atoms in an optical lattice
in a synthetic magnetic field, we study the “fully frustrated” Bose-Hubbard model with half a …
in a synthetic magnetic field, we study the “fully frustrated” Bose-Hubbard model with half a …
Chiral Mott insulator with staggered loop currents in the fully frustrated Bose-Hubbard model
Motivated by experiments on Josephson junction arrays in a magnetic field and ultracold
interacting atoms in an optical lattice in the presence of a “synthetic” orbital magnetic field …
interacting atoms in an optical lattice in the presence of a “synthetic” orbital magnetic field …
Chiral order and electromagnetic dynamics in one-dimensional multiferroic cuprates
S Furukawa, M Sato, S Onoda - Physical review letters, 2010 - APS
We show by unbiased numerical calculations that the ferromagnetic nearest-neighbor
exchange interaction stabilizes a vector spin chiral order against the quantum fluctuation in …
exchange interaction stabilizes a vector spin chiral order against the quantum fluctuation in …
Unsupervised machine learning of quantum phase transitions using diffusion maps
A Lidiak, Z Gong - Physical Review Letters, 2020 - APS
Experimental quantum simulators have become large and complex enough that discovering
new physics from the huge amount of measurement data can be quite challenging …
new physics from the huge amount of measurement data can be quite challenging …