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 …

We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

Considering the ground state of a quantum spin model as the initial state of the quantum
battery, we show that both ordered and disordered interaction strengths play a crucial role in …

We show that thermal states of local Hamiltonians are separable above a constant
temperature. Specifically, for a local Hamiltonian H on a graph with degree g, its Gibbs state …

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 …

The study of spin chains has played a pivotal role in furthering our understanding of
quantum many-body systems. Maybe most important, spin chain models have served as a …

Classical phase transitions occur when a physical system reaches a state below a critical
temperature characterized by macroscopic order. Quantum phase transitions occur at …

What entanglement is present in naturally occurring physical systems at thermal
equilibrium? Most such systems are intractable and it is desirable to study simple but …

A microscopic calculation of ground state entanglement for the XY and Heisenberg models
shows the emergence of universal scaling behavior at quantum phase transitions …

We define a polynomial measure of multiparticle entanglement which is scalable, ie, which
applies to any number of spin-1/2 particles. By evaluating it for three particle states, for …