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 and Hilbert space fragmentation: a review of exact results
S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
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 …
Fracton phases of matter
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
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 …
Hilbert space fragmentation and commutant algebras
S Moudgalya, OI Motrunich - Physical Review X, 2022 - APS
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …
Floquet quantum systems using the language of commutant algebras, the algebra of all …
Unitary-projective entanglement dynamics
Starting from a state of low quantum entanglement, local unitary time evolution increases the
entanglement of a quantum many-body system. In contrast, local projective measurements …
entanglement of a quantum many-body system. In contrast, local projective measurements …
Quantum information scrambling on a superconducting qutrit processor
The dynamics of quantum information in strongly interacting systems, known as quantum
information scrambling, has recently become a common thread in our understanding of …
information scrambling, has recently become a common thread in our understanding of …
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 …
Localization from Hilbert space shattering: From theory to physical realizations
We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …
exponentially many dynamically disconnected subsectors, leading to an unexpected …
Fracton hydrodynamics
We introduce new classes of hydrodynamic theories inspired by the recently discovered
fracton phases of quantum matter. Fracton phases are characterized by elementary …
fracton phases of quantum matter. Fracton phases are characterized by elementary …