Bipartite charge fluctuations in 3D metals encode Fermi surface geometry and quantum metric via a logarithmic term expressible as surface integrals of curvature and quantum metric tensors.
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Large-scale numerics and nonlinear sigma model mapping demonstrate that monitored non-interacting 1D fermions in disordered or quasiperiodic potentials remain in the area-law phase for all monitoring and disorder strengths, with no MIPT.
Quantum Monte Carlo study of long-range spin-1 chains finds unconventional quantum criticality at alpha_c = 2.48(2) with dynamic exponent z not equal to 1, characterized via entanglement entropy and bipartite fluctuations.
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.
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Entanglement dynamics of monitored noninteracting fermions on graphics processing units
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.