We review some recent developments in the statistical mechanics of isolated quantum
systems. We provide a brief introduction to quantum thermalization, paying particular …

We consider fully many-body-localized systems, ie, isolated quantum systems where all the
many-body eigenstates of the Hamiltonian are localized. We define a sense in which such …

Motivated by the findings of logarithmic spreading of entanglement in a many-body localized
system, we identify and untangle two factors contributing to the spreading of entanglement in …

A system in equilibrium does not evolve—time independence is its telltale characteristic.
However, in Newtonian physics the microstate of an individual system (a point in its phase …

We study many‐body localization (MBL) from the perspective of integrals of motion (IOMs).
MBL can be understood phenomenologically through the existence of macroscopically …

We consider the notion of thermal equilibrium for an individual closed macroscopic quantum
system in a pure state, ie, described by a wave function. The macroscopic properties in …

We study the nature of and approach to thermal equilibrium in isolated quantum systems. An
individual isolated macroscopic quantum system in a pure or mixed state is regarded as …

We consider the nonequilibrium dynamics arising after a quench of the transverse magnetic
field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction …

It has been proposed that the states of fully many-body localized systems can be described
in terms of conserved local pseudospins. Due to the multitude of ways to define these, the …

The problem of the classical limit of quantum mechanics consists in explaining how the
classical realm “emerges” from the quantum domain. Although along the history of quantum …