Random quantum circuits
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …
playground for quantum many-body physics and a tractable setting to explore universal …
Quantum many-body scars: A quasiparticle perspective
Weakly interacting quasiparticles play a central role in the low-energy description of many
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …
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 …
Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
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 …
Measurement-induced criticality in random quantum circuits
We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
Exploring the regime of fragmentation in strongly tilted Fermi-Hubbard chains
Intriguingly, quantum many-body systems may defy thermalization even without disorder.
One example is so-called fragmented models, where the many-body Hilbert space …
One example is so-called fragmented models, where the many-body Hilbert space …
Weak ergodicity breaking from quantum many-body scars
The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …
ergodicity, the ability of a system to explore all allowed configurations in the phase space …
Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
Probing entanglement in a many-body–localized system
An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …