Noninteracting fermions with effective mass m_eff(x) ~ |x|^α form a determinantal point process whose large-N scaled kernel near the origin is a sum of two Bessel kernels with different indices rather than standard Airy or single-Bessel forms.
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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.
A blockade-restricted long-range model for Rydberg-cavity systems yields a distinct blockaded ferromagnetic/superradiant phase at equilibrium and long-range many-body scars with logarithmic entanglement dynamics out of equilibrium.
Diffusion maps identify quantum phase transitions in Bose-Hubbard systems, including symmetry-protected topological phases and ergodic vs. many-body localized regimes, without prior order parameters or handcrafted observables.
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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.