Quantum many-body scars and Hilbert space fragmentation: a review of exact results
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 …
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
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …
among the most fundamental problems in statistical physics. Recent theoretical studies have …
Volume-law entanglement entropy of typical pure quantum states
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 …
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 …
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
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 …
especially as a mechanism to produce exotic low-energy states of matter. Here we show that …
Entanglement entropy of eigenstates of quantum chaotic Hamiltonians
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 …
bipartite entanglement entropy of eigenstates of quantum chaotic Hamiltonians is to …
Symmetry-resolved Page curves
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …
average entanglement entropy associated with each possible spatial bipartition of the …
Quantum east model: Localization, nonthermal eigenstates, and slow dynamics
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 …
chain inspired by simple kinetically constrained models of classical glasses. Through a …
Entanglement and matrix elements of observables in interacting integrable systems
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 …
operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin …
Geometry of variational methods: dynamics of closed quantum systems
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 …
suitably chosen variational families. For the purpose of (A) real time evolution,(B) excitation …