Localization from Hilbert space shattering: From theory to physical realizations
Stanford University · University of Colorado Boulder
Indexed inarxivcrossref
Abstract
Known routes to ergodicity breaking -- integrability and many-body localization -- require extensively many explicit or emergent conservation laws. Here we show that two conservation laws are sufficient to provably and robustly break ergodicity by ``shattering'' Hilbert space into exponentially many dynamically disconnected sectors. This represents a new paradigm for localization, which does not rely on disorder or energy conservation, which works in any number of spatial dimensions, and which should be realizable in near-term ultracold atom experiments.
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503
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Authors
3Topics & keywords
Topics
Keywords
- Hilbert space
- Quantum entanglement
- Physics
- Quantum
- Quantum state
- Subspace topology
- Symmetry (geometry)
- Dimension (graph theory)
UN Sustainable Development Goals
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Funding
- NSNational Science FoundationAward: 1748958
- UDU.S. Department of Defense
- UDU.S. Department of EnergyAward: DE-SC0014415
- APAlfred P. Sloan Foundation
- DADefense Advanced Research Projects Agency
- OOOffice of Science
- ARAdvanced Research Projects Agency
- KIKavli Institute for Theoretical Physics, University of California, Santa BarbaraAwards: 1748958, PHY-1748958
- BEBasic Energy SciencesAward: DE-SC0014415
- AFAir Force Office of Scientific ResearchAward: FA9550-17-1-0183