Dimension-raising phase transitions in driven magnets and condensates

Fuente: arXiv
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Autores principales: Chen, Zhizhen, Cai, Zi
Formato: Preprint
Publicado: 2025
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author Chen, Zhizhen
Cai, Zi
author_facet Chen, Zhizhen
Cai, Zi
contents We propose a periodically driven system whose dimensionality is an emergent property that can be tunable, thus enables us to realize not only many-body phases with arbitrary dimensions, but also phase transitions, instead of crossovers, between phases with various dimensions. We study an interacting rotor model whose instantaneous Hamiltonian keeps the one-dimensional (1D) feature at any given time. Despite this, an emergent two-dimensional (2D) phase appears when the driving frequency exceeds a critical value, at which a dimension-raising phase transition takes place. We find that the nonequilibrium feature of the system could qualitatively change the finite temperature critical behavior of the emergent 2D phase and make it different from its equilibrium counterpart. A four-dimensional (4D) generalization and experimental realizations of the proposed model based on a programmable reconfiguration technique in optical tweezers setups have also been discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09437
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dimension-raising phase transitions in driven magnets and condensates
Chen, Zhizhen
Cai, Zi
Statistical Mechanics
We propose a periodically driven system whose dimensionality is an emergent property that can be tunable, thus enables us to realize not only many-body phases with arbitrary dimensions, but also phase transitions, instead of crossovers, between phases with various dimensions. We study an interacting rotor model whose instantaneous Hamiltonian keeps the one-dimensional (1D) feature at any given time. Despite this, an emergent two-dimensional (2D) phase appears when the driving frequency exceeds a critical value, at which a dimension-raising phase transition takes place. We find that the nonequilibrium feature of the system could qualitatively change the finite temperature critical behavior of the emergent 2D phase and make it different from its equilibrium counterpart. A four-dimensional (4D) generalization and experimental realizations of the proposed model based on a programmable reconfiguration technique in optical tweezers setups have also been discussed.
title Dimension-raising phase transitions in driven magnets and condensates
topic Statistical Mechanics
url https://arxiv.org/abs/2503.09437