Universal Family-Vicsek scaling in quantum gases far from equilibrium

Fuente: arXiv
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Autori principali: Kwon, Kiryang, Fujimoto, Kazuya, Hur, Junhyeok, Lee, Byungjin, Hwang, Samgyu, Kim, Sumin, Hamazaki, Ryusuke, Kawaguchi, Yuki, Choi, Jae-yoon
Natura: Preprint
Pubblicazione: 2026
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author Kwon, Kiryang
Fujimoto, Kazuya
Hur, Junhyeok
Lee, Byungjin
Hwang, Samgyu
Kim, Sumin
Hamazaki, Ryusuke
Kawaguchi, Yuki
Choi, Jae-yoon
author_facet Kwon, Kiryang
Fujimoto, Kazuya
Hur, Junhyeok
Lee, Byungjin
Hwang, Samgyu
Kim, Sumin
Hamazaki, Ryusuke
Kawaguchi, Yuki
Choi, Jae-yoon
contents Fluctuations in the growing surfaces of classical systems can exhibit universal scaling behavior, known as Family-Vicsek (FV) scaling. Although this phenomenon was originally discovered in classical stochastic models, recent theoretical studies have demonstrated the presence of FV scaling in quantum many-body systems as well. Here, we observe the universal FV scaling in a one-dimensional Bose gas in an optical lattice. By monitoring the fluctuations of particle number in half of the system, which corresponds to the surface roughness, we extract all scaling exponents and demonstrate that the entire relaxation-from the growth of quantum fluctuations to their saturation-is captured by a single universal scaling function. Our results demonstrate that universal scaling laws of classical surface growth extend to quantum many-body systems, establishing a unified framework for nonequilibrium universality across classical and quantum systems.
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id arxiv_https___arxiv_org_abs_2603_09060
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Universal Family-Vicsek scaling in quantum gases far from equilibrium
Kwon, Kiryang
Fujimoto, Kazuya
Hur, Junhyeok
Lee, Byungjin
Hwang, Samgyu
Kim, Sumin
Hamazaki, Ryusuke
Kawaguchi, Yuki
Choi, Jae-yoon
Quantum Gases
Statistical Mechanics
Quantum Physics
Fluctuations in the growing surfaces of classical systems can exhibit universal scaling behavior, known as Family-Vicsek (FV) scaling. Although this phenomenon was originally discovered in classical stochastic models, recent theoretical studies have demonstrated the presence of FV scaling in quantum many-body systems as well. Here, we observe the universal FV scaling in a one-dimensional Bose gas in an optical lattice. By monitoring the fluctuations of particle number in half of the system, which corresponds to the surface roughness, we extract all scaling exponents and demonstrate that the entire relaxation-from the growth of quantum fluctuations to their saturation-is captured by a single universal scaling function. Our results demonstrate that universal scaling laws of classical surface growth extend to quantum many-body systems, establishing a unified framework for nonequilibrium universality across classical and quantum systems.
title Universal Family-Vicsek scaling in quantum gases far from equilibrium
topic Quantum Gases
Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2603.09060