Exact ground state of the Lieb-Mattis Hamiltonian as a superposition of Néel states
Exact ground state of the Lieb-Mattis Hamiltonian as a superposition of Néel states
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作为尼尔态叠加的利布-马蒂斯哈密顿量的精确基态
DOI：
10.1103/physrevresearch.1.032018
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发表时间：
2019
影响因子：
4.2
通讯作者：
L. Rademaker
中科院分区：
文献类型：
--
作者：
L. Rademaker
我们证明了Lieb-Mattis哈密顿量的精确基态是所有可能的经典N‘{e}EL态的等重叠加，并用Schwinger玻色子给出了对于$S=1/2和一般的$S=1/2两种情况下这种叠加的精确公式。一般而言，一般初始状态上可能的旋转的叠加是对称的，当且仅当该初始状态与单重态有非零重叠，否则由由于对称化而消失的状态组成。最值得注意的是，如果对称化，$|S，m=0，$态将消失，这解释了N‘{e}el态的叠加是如何投影到它的单重态分量上的。
We show that the exact ground state of the Lieb-Mattis Hamiltonian is an equal-weight superposition of all possible classical N\'{e}el states, and provide an exact formulation of this superposition in the $z$-spin basis for both $S=1/2$ and general $S$ using Schwinger bosons. In general, a superposition of possible rotations on a general initial state is symmetric if and only if the initial state has a nonzero overlap with a singlet state and is otherwise made up of states that vanish due to the symmetrization. Most notably, $|s, m=0 \rangle$ states will vanish if symmetrized, which explains how a superposition of N\'{e}el states projects onto its singlet component.
晶格量子系统中的长程有序、态“塔”和对称破缺
影响因子：
1.6
作者：
Y Oka;S Suetaka;H Ago;Y Miyachi;Y Hayashi;M Arai;Hal Tasaki
通讯作者：
Hal Tasaki