Exact analysis of the spectral properties of the anisotropic two-bosons Rabi model

被引：19

作者：

Cui, Shuai ^{[1
,2
]}

Cao, Jun-Peng ^{[1
,2
,3
]}

Fan, Heng ^{[1
,2
,3
]}

Amico, Luigi ^{[4
,5
,6
,7
]}

机构：

[1] Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China

[3] Collaborat Innovat Ctr Quantum Matter Beijing, Beijing 100190, Peoples R China

[4] Catania Univ, CNR, MATIS, IMM, Via S Sofia 64, I-95127 Catania, Italy

[5] Catania Univ, Dipartimento Fis & Astron, Via S Sofia 64, I-95127 Catania, Italy

[6] Ist Nazl Fis Nucl, Lab Nazl Sud, Via S Sofia 62, I-95123 Catania, Italy

[7] Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117543, Singapore

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 20期

关键词：

quantum Rabi models; exact solutions; quantum technologies; QUANTUM ELECTRODYNAMICS; CUMMINGS MODEL; 2-PHOTON; ENTANGLEMENT; ATOM;

D O I：

10.1088/1751-8121/aa6a6f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the anisotropic two-photon Rabi model in which the rotating and counter rotating terms enters the Hamiltonian with two different coupling constants. Eigenvalues and eigenvectors are studied with exact means. We employ a variation of the Braak method based on Bogolubov rotation of the underlying su(1, 1) Lie algebra. Accordingly, the spectrum is provided by the analytical properties of a suitable meromorphic function. Our formalism applies to the two-modes Rabi model as well, sharing the same algebraic structure of the two-photon model. Through the analysis of the spectrum, we discover that the model displays close analogies to many-body systems undergoing quantum phase transitions.

引用

页数：16

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