The transition between the N'{e}el antiferromagnet and the valence-bond solid state in two dimensions has become a paradigmatic example of deconfined quantum criticality, a non-Landau transition characterized by fractionalized excitations (spinons). We consider an extension of this scenario whereby the deconfined spinons are subject to a magnetic field. The primary purpose is to identify the exotic scenario of a Bose-Einstein condensate of spinons. We employ quantum Monte Carlo simulations of the model with a magnetic field and perform a quantum field theoretic analysis of the magnetic field and temperature dependence of thermodynamic quantities. The combined analysis provides evidence for Bose-Einstein condensation of spinons and also demonstrates an extended temperature regime in which the system is best described as gas of spinons interacting with an emergent gauge field.

中文翻译：

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二维受限空间的玻色-爱因斯坦凝聚

N'{e} el反铁磁体和价键固态之间的二维跃迁已成为有限量子临界的典范实例，这是一种非朗道跃迁，其特征在于分立激发（自旋子）。我们考虑这种情况的一种扩展，即解除约束的自旋将受到磁场的影响。主要目的是确定Bose-Einstein旋风冷凝物的奇异情形。我们使用磁场的模型的量子蒙特卡洛模拟，并对磁场和热力学量的温度依赖性进行量子场理论分析。