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 …
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 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 …
Entanglement entropy of eigenstates of quadratic fermionic Hamiltonians
In a seminal paper [DN Page, Phys. Rev. Lett. 71, 1291 (1993) PRLTAO 0031-9007
10.1103/PhysRevLett. 71.1291], Page proved that the average entanglement entropy of …
10.1103/PhysRevLett. 71.1291], Page proved that the average entanglement entropy of …
Eigenstate entanglement entropy in random quadratic Hamiltonians
The eigenstate entanglement entropy is a powerful tool to distinguish integrable from
generic quantum-chaotic models. In integrable models, the average eigenstate …
generic quantum-chaotic models. In integrable models, the average eigenstate …
Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles
Eigenstates of local many-body interacting systems that are far from spectral edges are
thought to be ergodic and close to being random states. This is consistent with the …
thought to be ergodic and close to being random states. This is consistent with the …
Eigenstate thermalization, random matrix theory, and behemoths
The eigenstate thermalization hypothesis (ETH) is one of the cornerstones of contemporary
quantum statistical mechanics. The extent to which ETH holds for nonlocal operators is an …
quantum statistical mechanics. The extent to which ETH holds for nonlocal operators is an …
Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians
In a recent Letter [Phys. Rev. Lett. 125, 180604 (2020) PRLTAO 0031-9007
10.1103/PhysRevLett. 125.180604], we introduced a closed-form analytic expression for the …
10.1103/PhysRevLett. 125.180604], we introduced a closed-form analytic expression for the …
Eigenstate thermalization in long-range interacting systems
Motivated by recent ion experiments on tunable long-range interacting quantum systems
[Neyenhuis et al., Sci. Adv. 3, e1700672 (2017) SACDAF 2375-2548 10.1126/sciadv …
[Neyenhuis et al., Sci. Adv. 3, e1700672 (2017) SACDAF 2375-2548 10.1126/sciadv …
Volume law and quantum criticality in the entanglement entropy of excited eigenstates of the quantum Ising model
Much has been learned about universal properties of entanglement entropies in ground
states of quantum many-body lattice systems. Here we unveil universal properties of the …
states of quantum many-body lattice systems. Here we unveil universal properties of the …