Quantum many-body scars and Hilbert space fragmentation: a review of exact results
California Institute of Technology · Ikerbasque · +9 more institutions
Abstract
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 ergodicity can still lead to rich experimental and theoretical physics. In this review, we provide a pedagogical introduction to and an overview of the exact results on weak ergodicity breaking via QMBS in isolated quantum systems with the help of simple examples such as the fermionic Hubbard model. We also discuss various mechanisms and unifying formalisms that have been proposed to encompass the plethora of systems exhibiting QMBS. We cover examples of equally-spaced towers that lead to exact revivals for particular initial states, as…
Citation impact
- FWCI
- 64.36
- Percentile
- 100%
- References
- 273
Authors
3- SMSanjay MoudgalyaCorresponding
California Institute of Technology
- BAB. Andrei Bernevig
Ikerbasque, Princeton University, Donostia International Physics Center
- NRNicolas Regnault
Centre National de la Recherche Scientifique, Princeton University, Université Paris Cité, Université Paris Sciences et Lettres, École Normale Supérieure - PSL, Sorbonne Université, Sorbonne Paris Cité, Laboratoire de Physique Théorique de la Matière Condensée
Topics & keywords
- Ergodicity
- Physics
- Hilbert space
- Ergodic theory
- Theoretical physics
- Rotation formalisms in three dimensions
- Quantum
- Quantum mechanics
- Sustainable cities and communities
Funding
- NSNational Science FoundationAwards: PHY-1607611, 1607611
- CICalifornia Institute of Technology
- ACAspen Center for PhysicsAwards: 1607611, PHY-1607611
- ECEuropean CommissionAward: 101020833
- WBWalter Burke Institute for Theoretical Physics
- IFInstitute for Quantum Information and Matter, California Institute of Technology