From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …
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 …
Quantum thermalization through entanglement in an isolated many-body system
Statistical mechanics relies on the maximization of entropy in a system at thermal
equilibrium. However, an isolated quantum many-body system initialized in a pure state …
equilibrium. However, an isolated quantum many-body system initialized in a pure state …
Probing quantum scars and weak ergodicity breaking through quantum complexity
Scar states are special many-body eigenstates that weakly violate the eigenstate
thermalization hypothesis (ETH). Using the explicit formalism of the Lanczos algorithm …
thermalization hypothesis (ETH). Using the explicit formalism of the Lanczos algorithm …
Ergodic dynamics and thermalization in an isolated quantum system
Statistical mechanics is founded on the assumption that all accessible configurations of a
system are equally likely. This requires dynamics that explore all states over time, known as …
system are equally likely. This requires dynamics that explore all states over time, known as …
Entanglement transitions from holographic random tensor networks
We introduce a class of phase transitions separating quantum states with different
entanglement features. An example of such an “entanglement phase transition” is provided …
entanglement features. An example of such an “entanglement phase transition” is provided …
Entanglement dynamics after quantum quenches in generic integrable systems
V Alba, P Calabrese - SciPost Physics, 2018 - scipost.org
The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …
provides crucial information about the structure of the time-dependent state. For quantum …
Does a single eigenstate encode the full Hamiltonian?
JR Garrison, T Grover - Physical Review X, 2018 - APS
The eigenstate thermalization hypothesis (ETH) posits that the reduced density matrix for a
subsystem corresponding to an excited eigenstate is “thermal.” Here we expound on this …
subsystem corresponding to an excited eigenstate is “thermal.” Here we expound on this …
Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
We consider the Sachdev-Ye-Kitaev (SYK) model as a model for the thermalized zero-
dimensional boundary of a many-body localized, fermionic symmetry protected topological …
dimensional boundary of a many-body localized, fermionic symmetry protected topological …
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 …