Quantum phase transition in a pseudo-Hermitian Dicke model.
Quantum phase transition in a pseudo-Hermitian Dicke model.
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DOI：
10.1103/physreve.80.021107
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发表时间：
2009-01
期刊：
影响因子：
--
通讯作者：
T. Deguchi;P. K. Ghosh
中科院分区：
文献类型：
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作者：
T. Deguchi;P. K. Ghosh
通过相似变换将Dicke型非厄米哈密顿量映射到“dressed迪凯模型”，证明了Dicke型非厄米哈密顿量可以完全包含真实的谱.我们发现一个正定的非厄米哈密顿量的希尔伯特空间中的度量，使时间演化是酉的，并允许一个一致的量子描述。然后，我们表明，这个非厄米哈密顿描述非耗散量子过程经历量子相变。讨论了非厄米哈密顿量的精确可解极限。
We show that a Dicke-type non-Hermitian Hamiltonian admits entirely real spectra by mapping it to the "dressed Dicke model" through a similarity transformation. We find a positive-definite metric in the Hilbert space of the non-Hermitian Hamiltonian so that the time evolution is unitary and allows a consistent quantum description. We then show that this non-Hermitian Hamiltonian describing nondissipative quantum processes undergoes quantum phase transition. The exactly solvable limit of the non-Hermitian Hamiltonian has also been discussed.