Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Thermalization and prethermalization in isolated quantum systems: a theoretical overview

T Mori, TN Ikeda, E Kaminishi… - Journal of Physics B …, 2018 - iopscience.iop.org
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Circuit complexity for free fermions

L Hackl, RC Myers - Journal of High Energy Physics, 2018 - Springer
A bstract We study circuit complexity for free fermionic field theories and Gaussian states.
Our definition of circuit complexity is based on the notion of geodesic distance on the Lie …

Disorder-free localization and many-body quantum scars from magnetic frustration

PA McClarty, M Haque, A Sen, J Richter - Physical Review B, 2020 - APS
The concept of geometrical frustration has led to rich insights into condensed matter physics,
especially as a mechanism to produce exotic low-energy states of matter. Here we show that …

Entanglement entropy of eigenstates of quantum chaotic Hamiltonians

L Vidmar, M Rigol - Physical review letters, 2017 - APS
In quantum statistical mechanics, it is of fundamental interest to understand how close the
bipartite entanglement entropy of eigenstates of quantum chaotic Hamiltonians is to …

Symmetry-resolved Page curves

S Murciano, P Calabrese, L Piroli - Physical Review D, 2022 - APS
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …

Quantum east model: Localization, nonthermal eigenstates, and slow dynamics

N Pancotti, G Giudice, JI Cirac, JP Garrahan… - Physical Review X, 2020 - APS
We study in detail the properties of the quantum East model, an interacting quantum spin
chain inspired by simple kinetically constrained models of classical glasses. Through a …

Entanglement and matrix elements of observables in interacting integrable systems

T LeBlond, K Mallayya, L Vidmar, M Rigol - Physical Review E, 2019 - APS
We study the bipartite von Neumann entanglement entropy and matrix elements of local
operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin …

Geometry of variational methods: dynamics of closed quantum systems

L Hackl, T Guaita, T Shi, J Haegeman, E Demler… - SciPost Physics, 2020 - scipost.org
We present a systematic geometric framework to study closed quantum systems based on
suitably chosen variational families. For the purpose of (A) real time evolution,(B) excitation …