量子集体自旋系统的有限尺寸行为
On the finite size behavior of quantum collective spin systems
摘要：
我们讨论了绝热Dicke模型的有限尺寸行为，描述了一组N-二能级原子（量子比特）到一个更快的（电磁）振子模式的集体耦合。该系统的能量本征态直接关系到另一个广泛研究的集体自旋模型，单轴的。通过采用近似连续的方法，我们得到了后者的性质，然后我们使用它来评估其量子相变附近的原始Dicke模型的各种可观测量的标度特性的一个完整的表征。
英文摘要：
We discuss the finite size behavior of the adiabatic Dicke model, describing the collective coupling of a set of N-two level atoms (qubits) to a faster (electromagnetic) oscillator mode. The energy eigen-states of this system are shown to be directly related to those of another widely studied collective spin model, the uniaxial one. By employing an approximate continuum approach, we obtain a complete characterization of the properties of the latter, which we then use to evaluate the scaling properties of various observables for the original Dicke model near its quantum phase transition.
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