2025/03/26 by Lokesh Tater, Tater, Lokesh, Subhajit Sarkar +5 · 2 citations
Physics and Astronomy · Materials Science · #Theoretical and Computational Physics #Material Dynamics and Properties #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2503.20356
We investigate the dynamics of subsystem particle number fluctuations in a long-range system with power-law decaying hopping strength characterized by exponent μ and subjected to a local dephasing at every site. We introduce an efficient \it bond length representation for the four-point correlator, enabling the large-scale simulation of the dynamics of particle number fluctuations from translationally invariant initial states. Our results show that the particle number fluctuation dynamics exhibit one-parameter Family-Vicsek scaling, with superdiffusive scaling exponents for μ< 1.5 and diffusive scaling exponents for μ≥ 1.5. Finally, exploiting the bond-length representation, we provide an exact analytical expression for the particle number fluctuations and their scaling exponents in the short-range limit (μ→ ∞).