The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.
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Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.
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Theory of Steady States for Lindblad Equations beyond Time-Independence: Classification, Uniqueness and Symmetry
The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.
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Graph-Theoretic Detection of Hilbert Space Fragmentation
Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
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Geometry of Free Fermion Commutants
The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
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Enhancing entanglement asymmetry in fragmented quantum systems
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.