A global adiabatic criterion selects Gaussian pulse timings that suppress leakage during non-Abelian Thouless pumping in a twelve-level Rydberg synthetic Lieb lattice, yielding order-dependent population transport consistent with noncommuting holonomic operations.
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Ultracold fermionic atoms in a shaken optical honeycomb lattice map the interband Berry connection via polarization-dependent resonant excitations, revealing transparency lines and Dirac strings between K and K' points.
Doubly geometric control achieves simultaneous fourth-order suppression of control errors via level-n identity constructions, with extension to sixth order.
Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.
Superconducting circuit hosts fractional fluxon states (fraxons) in a tailored Josephson potential to realize protected qudits with a STIRAP gate protocol.
citing papers explorer
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Non-Abelian Thouless pumping based on the global adiabatic criterion in Rydberg synthetic lattices
A global adiabatic criterion selects Gaussian pulse timings that suppress leakage during non-Abelian Thouless pumping in a twelve-level Rydberg synthetic Lieb lattice, yielding order-dependent population transport consistent with noncommuting holonomic operations.
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Interband Berry connection measurement in the optical honeycomb lattice
Ultracold fermionic atoms in a shaken optical honeycomb lattice map the interband Berry connection via polarization-dependent resonant excitations, revealing transparency lines and Dirac strings between K and K' points.
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Universal Robust Quantum Gates via Doubly Geometric Control
Doubly geometric control achieves simultaneous fourth-order suppression of control errors via level-n identity constructions, with extension to sixth order.
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Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator
Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.
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Fraxonium: Fractional fluxon states for qudit encoding
Superconducting circuit hosts fractional fluxon states (fraxons) in a tailored Josephson potential to realize protected qudits with a STIRAP gate protocol.