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 …

Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Quench dynamics and relaxation in isolated integrable quantum spin chains

FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

Discovering phases, phase transitions, and crossovers through unsupervised machine learning: A critical examination

W Hu, RRP Singh, RT Scalettar - Physical Review E, 2017 - APS
We apply unsupervised machine learning techniques, mainly principal component analysis
(PCA), to compare and contrast the phase behavior and phase transitions in several …

Dynamical quantum phase transitions in the transverse-field Ising model

M Heyl, A Polkovnikov, S Kehrein - Physical review letters, 2013 - APS
A phase transition indicates a sudden change in the properties of a large system. For
temperature-driven phase transitions this is related to nonanalytic behavior of the free …

Quantum phase transitions

S Sachdev - Physics world, 1999 - iopscience.iop.org
NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

Entanglement in many-body systems

L Amico, R Fazio, A Osterloh, V Vedral - Reviews of modern physics, 2008 - APS
Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Entanglement in quantum critical phenomena

G Vidal, JI Latorre, E Rico, A Kitaev - Physical review letters, 2003 - APS
Entanglement, one of the most intriguing features of quantum theory and a main resource in
quantum information science, is expected to play a crucial role also in the study of quantum …

[图书][B] An introduction to integrable techniques for one-dimensional quantum systems

F Franchini - 2017 - Springer
These notes are the write-up and extension of the lectures I gave over a few years for a class
on “Introduction to Bethe Ansatz” within the Ph. D. program in Statistical Physics at SISSA …

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …