Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

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 …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

Entanglement entropy and conformal field theory

P Calabrese, J Cardy - Journal of physics a: mathematical and …, 2009 - iopscience.iop.org
We review the conformal field theory approach to entanglement entropy in 1+ 1 dimensions.
We show how to apply these methods to the calculation of the entanglement entropy of a …

Microwave Engineering of Programmable Hamiltonians in Arrays of Rydberg Atoms

P Scholl, HJ Williams, G Bornet, F Wallner, D Barredo… - PRX Quantum, 2022 - APS
We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic
external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The …

Quantum trajectories and open many-body quantum systems

AJ Daley - Advances in Physics, 2014 - Taylor & Francis
The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

Spin transport in a tunable Heisenberg model realized with ultracold atoms

PN Jepsen, J Amato-Grill, I Dimitrova, WW Ho… - Nature, 2020 - nature.com
Simple models of interacting spins have an important role in physics. They capture the
properties of many magnetic materials, but also extend to other systems, such as bosons …

Many-body localization in the Heisenberg magnet in a random field

M Žnidarič, T Prosen, P Prelovšek - Physical Review B—Condensed Matter …, 2008 - APS
We numerically investigate Heisenberg XXZ spin-1∕ 2 chain in a spatially random static
magnetic field. We find that time-dependent density-matrix renormalization group …

Dynamics of a quantum phase transition and relaxation to a steady state

J Dziarmaga - Advances in Physics, 2010 - Taylor & Francis
We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

Superdiffusion in spin chains

VB Bulchandani, S Gopalakrishnan… - Journal of Statistical …, 2021 - iopscience.iop.org
This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …