Jahn-Teller模型中的纠缠和分岔
Entanglement and bifurcations in Jahn-Teller models
摘要：
我们比较了两种Jahn-Teller模型的基态纠缠度。$E\otimesβ$系统将二能级电子系统或量子位耦合到单个振荡器模式建模，而$E\otimesε$将量子位耦合到两个独立的简并振荡器模式建模。在没有横向磁场施加到量子位的情况下，两个系统都表现出简并的基态。在$E\otimesβ$系统中总是存在一个完全可分的基态，而在$E\otimesε$模型中基态总是表现出纠缠.对于$E\otimesβ$的情况下，我们的目标是澄清从以前的工作结果，暗示之间的联系的基态纠缠特性和分歧的一个固定点在经典的模拟。在$E\otimesε$的情况下，我们使用了一个用于基态的吸收器。我们比较这个anananterior精确的数值计算，并使用它来研究如何共享的三个系统的自由度之间的纠缠。
英文摘要：
We compare and contrast the entanglement in the ground state of two Jahn-Teller models. The $E\otimesβ$ system models the coupling of a two-level electronic system, or qubit, to a single oscillator mode, while the $E\otimesε$ models the qubit coupled to two independent, degenerate oscillator modes. In the absence of a transverse magnetic field applied to the qubit, both systems exhibit a degenerate ground state. Whereas there always exists a completely separable ground state in the $E\otimesβ$ system, the ground states of the $E\otimesε$ model always exhibit entanglement. For the $E\otimesβ$ case we aim to clarify results from previous work, alluding to a link between the ground state entanglement characteristics and a bifurcation of a fixed point in the classical analogue. In the $E\otimesε$ case we make use of an ansatz for the ground state. We compare this ansatz to exact numerical calculations and use it to investigate how the entanglement is shared between the three system degrees of freedom.
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