2 May 2014 Analogy between the quantum phase transition and the polarization switching of vertical-cavity surface-emitting lasers
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Abstract
The phase transition in the polarization switching (PS) of vertical-cavity surface-emitting lasers (VCSELs) was recently reported to be a second-order phase transition (SOPT). However, some features of this phase transition indicate that the VCSEL’s PS (VPS) is different from the traditional SOPTs. Most of the phase transition investigations of the laser employ the laser’s intensity as the order parameter. In Landau’s paradigm, that parameter evolutes from zero to non-zero values, or vice versa, during SOPTs, corresponding to a transition between a disordered phase and an ordered phase. Nevertheless, in the VPS, the laser’s intensity remains constant before and after the PS, revealing an order-to-order transition. Furthermore, the laser’s transverse modes cannot transfer to each other through continuous deformations in geometry. That feature attributes a topological characteristic to the laser’s transverse modes. The spatial coherence of the laser also implements a globally geometric characteristic to the laser’s output. Accordingly, there are two similarities between the VPS and quantum phase transitions (QPTs) with topological order. First, both of them belong to the orderto- order phase transitions. Second, in both transitions, two ground states are orthogonal, and are degenerate at the critical point. This paper investigated the analogy between the QPT with topological order and the VPS, exploring that the VPS has a potential to simulate the QPTs of other physical systems.
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Tsu-Chiang Yen, Tsu-Chiang Yen, Yu-Heng Wu, Yu-Heng Wu, Yueh-Chen Li, Yueh-Chen Li, Wang-Chuang Kuo, Wang-Chuang Kuo, } "Analogy between the quantum phase transition and the polarization switching of vertical-cavity surface-emitting lasers", Proc. SPIE 9134, Semiconductor Lasers and Laser Dynamics VI, 91341Z (2 May 2014); doi: 10.1117/12.2052041; https://doi.org/10.1117/12.2052041
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