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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 …
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 …
Avalanches and many-body resonances in many-body localized systems
We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
Krylov complexity from integrability to chaos
A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …
evolution of systems from integrability to chaos. For this purpose we investigate the …
Quantum chaos challenges many-body localization
Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …
new direction of research. In the quantum realm, the many-body localization (MBL) was …
Krylov complexity and chaos in quantum mechanics
A bstract Recently, Krylov complexity was proposed as a measure of complexity and
chaoticity of quantum systems. We consider the stadium billiard as a typical example of the …
chaoticity of quantum systems. We consider the stadium billiard as a typical example of the …
Time crystals: a review
Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in
2012. While the original concept was strongly criticized, it stimulated at the same time an …
2012. While the original concept was strongly criticized, it stimulated at the same time an …
Spectroscopic signatures of localization with interacting photons in superconducting qubits
Quantized eigenenergies and their associated wave functions provide extensive information
for predicting the physics of quantum many-body systems. Using a chain of nine …
for predicting the physics of quantum many-body systems. Using a chain of nine …
Quantum coherence and geometric quantum discord
Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …
for the development of quantum mechanics. They are also cornerstones of quantum …
Quantum entanglement in neural network states
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …
unprecedented perspective for solving intricate quantum many-body problems …