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Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-07-26 , DOI: 10.1088/1751-8121/ab92be
Yan Zhang 1, 2 , Bin-Bin Mao 3, 4 , Dazhi Xu 5 , Yu-Yu Zhang 6 , Wen-Long You 7, 8 , Maoxin Liu 1, 9 , Hong-Gang Luo 1, 3
Affiliation  

We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio η of the atom energy scale to the bosonic field frequency approaches infinity. An analytical solution is provided when the two lowest-energy levels are degenerate. According to it, we recognize that the phase diagram of the model consists of three regions: one normal phase and two superradiant phases. The quantum phase transitions between the normal phase and the two superradiant phases are of second order relating to the spontaneous breaking of the discrete Z 2 symmetry. On the other hand, the quantum phase transition between the two different superradiant phases is discontinuous with a phase boundary line relating to the continuous U (1) symmetry. For a large enough but finite η , the scaling function and critical exponents are deri...

中文翻译:

两模三能级量子拉比模型中的量子相变和临界行为

我们探索了一个扩展的量子拉比模型,该模型描述了一个双模波场和一个三能级原子之间的相互作用。当原子能级与玻色子场频率的比值η接近无穷大时,就会发现这种少数自由度模型的量子相变。当两个最低能级退化时,提供了一种分析解决方案。据此,我们认识到该模型的相图由三个区域组成:一个正相和两个超辐射相。正态相和两个超辐射相之间的量子相变具有与离散Z 2对称性的自发破裂有关的第二阶。另一方面,两个不同的超辐射相之间的量子相变是不连续的,且与连续U(1)对称性有关的相界线不连续。对于足够大但有限的η,定标函数和临界指数是...
更新日期:2020-07-27
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