This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

A bstract A quantum extremal island suggests that a region of spacetime is encoded in the
quantum state of another system, like the encoding of the black hole interior in Hawking …

A bstract We consider entanglement entropy in quantum field theories with a gravity dual. In
the gravity description, the leading order contribution comes from the area of a minimal …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

We investigate entanglement phase transitions from volume-law to area-law entanglement
in a quantum many-body state under continuous position measurement on the basis of the …

We present random quantum circuit models for nonunitary quantum dynamics of free
fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends …

We develop a systematic method to extract the negativity in the ground state of a 1+ 1
dimensional relativistic quantum field theory, using a path integral formalism to construct the …

A remarkable yet mysterious property of black holes is that their entropy is proportional to the
horizon area. This area law inspired the holographic principle, which was later realized …

Two-dimensional conformal field theories with a large central charge and a small number of
low-dimension operators are studied using the conformal block expansion. A universal …