量子相变的微分信息几何
The differential information-geometry of quantum phase transitions
摘要：
参数化量子哈密顿量的耦合常数的流形配备有具有操作可量化内容的自然黎曼度量。我们认为这个度规的奇异性与相应系统的量子相变相对应。这种方法为研究量子临界现象提供了一个统一的概念框架，它同时具有微分几何和信息论的性质。
英文摘要：
The manifold of coupling constants parametrizing a quantum Hamiltonian is equipped with a natural Riemannian metric with an operational distinguishability content. We argue that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding system. This approach provides a universal conceptual framework to study quantum critical phenomena which is differential-geometric and information-theoretic at the same time.
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