Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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Skin effects in non-Hermitian Luttinger liquids fractionalize by symmetry, producing decoupled spin and charge skin modes at low energies plus an interaction-enabled E8 skin effect absent in free fermions.
Symmetry class alone sets SWSSB correlation length growth to exponential (Z2, tc ~ ln L) or algebraic (U(1), tc ~ L^alpha with alpha filling-dependent) in open quantum systems, independent of spectral gap.
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Typical Mixing and Rare-State Bottlenecks in Open Quantum Systems
Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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Symmetry-Fractionalized Skin Effects in Non-Hermitian Luttinger Liquids
Skin effects in non-Hermitian Luttinger liquids fractionalize by symmetry, producing decoupled spin and charge skin modes at low energies plus an interaction-enabled E8 skin effect absent in free fermions.
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Universal Dynamical Scaling of Strong-to-Weak Spontaneous Symmetry Breaking in Open Quantum Systems
Symmetry class alone sets SWSSB correlation length growth to exponential (Z2, tc ~ ln L) or algebraic (U(1), tc ~ L^alpha with alpha filling-dependent) in open quantum systems, independent of spectral gap.