Bipartite particle number fluctuations in dephased long-range lattice systems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912294936510464 |
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| author | Tater, Lokesh Sarkar, Subhajit Bhakuni, Devendra Singh Agarwalla, Bijay Kumar |
| author_facet | Tater, Lokesh Sarkar, Subhajit Bhakuni, Devendra Singh Agarwalla, Bijay Kumar |
| contents | 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 $μ\geq 1.5$. 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 ($μ\to \infty)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20356 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bipartite particle number fluctuations in dephased long-range lattice systems Tater, Lokesh Sarkar, Subhajit Bhakuni, Devendra Singh Agarwalla, Bijay Kumar Statistical Mechanics Mesoscale and Nanoscale Physics 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 $μ\geq 1.5$. 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 ($μ\to \infty)$. |
| title | Bipartite particle number fluctuations in dephased long-range lattice systems |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.20356 |