Probing universal phase diagram of dimensional crossover with an atomic quantum simulator

Fuente: arXiv
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Auteurs principaux: Tian, Jinyuan, Yu, Zhongcheng, Liu, Jing, Lai, Chi-Kin, Pizzino, Lorenzo, Wu, Chengyang, Shui, Hongmian, Giamarchi, Thierry, Yao, Hepeng, Zhou, Xiaoji
Format: Preprint
Publié: 2025
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author Tian, Jinyuan
Yu, Zhongcheng
Liu, Jing
Lai, Chi-Kin
Pizzino, Lorenzo
Wu, Chengyang
Shui, Hongmian
Giamarchi, Thierry
Yao, Hepeng
Zhou, Xiaoji
author_facet Tian, Jinyuan
Yu, Zhongcheng
Liu, Jing
Lai, Chi-Kin
Pizzino, Lorenzo
Wu, Chengyang
Shui, Hongmian
Giamarchi, Thierry
Yao, Hepeng
Zhou, Xiaoji
contents Dimensionality is a fundamental concept in physics, which plays a hidden but crucial role in various domains, including condensed matter physics, relativity and string theory, statistical physics, etc. In quantum physics, reducing dimensionality usually enhances fluctuations and leads to novel properties. Owing to these effects, quantum simulators in which dimensionality can be controlled have emerged as a new area of interest. However, such a platform has only been studied in specific regimes and a universal phase diagram is lacking. Here, we produce an interacting atomic quantum simulator with continuous tunability of anisotropy and temperature, and probe the universal phase diagram of dimensional crossover. At low temperatures, we identify the regimes from quantum three to zero dimensions. By increasing temperature, we observe the non-trivial emergence of a thermal regime situated between the quantum zero and integer dimensions. We show that the quantum-to thermal transition falls into four different universality classes depending on the dimensionality. Surprisingly, we also detect a fifth type where the high-dimensional quantum system can reach the thermal phase by crossing a low-dimensional quantum regime. Our results provide a crucial foundation for understanding the projective condensed matter structures in unconventional dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2506_18464
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing universal phase diagram of dimensional crossover with an atomic quantum simulator
Tian, Jinyuan
Yu, Zhongcheng
Liu, Jing
Lai, Chi-Kin
Pizzino, Lorenzo
Wu, Chengyang
Shui, Hongmian
Giamarchi, Thierry
Yao, Hepeng
Zhou, Xiaoji
Quantum Gases
Dimensionality is a fundamental concept in physics, which plays a hidden but crucial role in various domains, including condensed matter physics, relativity and string theory, statistical physics, etc. In quantum physics, reducing dimensionality usually enhances fluctuations and leads to novel properties. Owing to these effects, quantum simulators in which dimensionality can be controlled have emerged as a new area of interest. However, such a platform has only been studied in specific regimes and a universal phase diagram is lacking. Here, we produce an interacting atomic quantum simulator with continuous tunability of anisotropy and temperature, and probe the universal phase diagram of dimensional crossover. At low temperatures, we identify the regimes from quantum three to zero dimensions. By increasing temperature, we observe the non-trivial emergence of a thermal regime situated between the quantum zero and integer dimensions. We show that the quantum-to thermal transition falls into four different universality classes depending on the dimensionality. Surprisingly, we also detect a fifth type where the high-dimensional quantum system can reach the thermal phase by crossing a low-dimensional quantum regime. Our results provide a crucial foundation for understanding the projective condensed matter structures in unconventional dimensions.
title Probing universal phase diagram of dimensional crossover with an atomic quantum simulator
topic Quantum Gases
url https://arxiv.org/abs/2506.18464