Lasing transition is known to be analogous to the second-order phase transition. Furthermore, for some cases, it is possible to define the Ginzburg-Landau (GL) potential, and the GL theory predicts the photon statistical properties of lasers. However, the GL potential for lasers is surprising, because lasers are operating far from equilibrium. In this paper, we theoretically examine the validity of the GL theory for lasers in terms of various parameters, particularly, the ratio between photon and carrier lifetimes. For this purpose, we use stochastic rate equations and higher-order photon correlation functions. With higher-order photon correlation measurements, we can check whether or not laser dynamics are described by the GL theory. We demonstrate that, for low- $β$ lasers, the GL theory is applicable even when the photon lifetime is comparable to the carrier lifetime and that photon-carrier relaxation oscillation is the fundamental origin of the breakdown of the GL theory, which can be understood in the framework of center manifold reduction.Lasing transition is known to be analogous to the second-order phase transition. Furthermore, for some cases, it is possible to define the Ginzburg-Landau (GL) potential, and the GL theory predicts the photon statistical properties of lasers. However, the GL potential for lasers is surprising, because lasers are operating far from equilibrium. In this paper, we theoretically examine the validity of the GL theory for lasers in terms of various parameters, particularly, the ratio between photon and carrier lifetimes. For this purpose, we use stochastic rate equations and higher-order photon correlation functions. With higher-order photon correlation measurements, we can check whether or not laser dynamics are described by the GL theory. We demonstrate that, for low-$β$ lasers, the GL theory is applicable even when the photon lifetime is comparable to the carrier lifetime and that photon-carrier relaxation oscillation is the fundamental origin of the breakdown of the GL theory, which can be understood in the framework of center manifold reduction.

arXiv:1908.08679Journal of the Physical Society of JapanJul 1, 20221 citation

Josephson Tunneling and Quantum Mechanical Phase

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Ginzburg-Landau theory and Josephson eect inBCS-BEC crossover

Filippo Pascucci

The thesis analyze Fermionic neutral systems with tunable attractive interaction between the particles whose strenght can be tuned from BCS theory to Bose-Einstein condensate. Below the critical temperature both systems are characterized by an order parameter. A mean-field approach can't describe correctly the phenomenon. This happens if Gaussian Thermal fluctations are included. The aim is to study BCS-BEC crossover around critical temperature through Ginzburg-Landau theory in 3D systems and Josephson effect in 2D systems. In both cases effect of thermal fluctuations have been included.The thesis analyze Fermionic neutral systems with tunable attractive interaction between the particles whose strenght can be tuned from BCS theory to Bose-Einstein condensate. Below the critical temperature both systems are characterized by an order parameter. A mean-field approach can't describe correctly the phenomenon. This happens if Gaussian Thermal fluctations are included. The aim is to study BCS-BEC crossover around critical temperature through Ginzburg-Landau theory in 3D systems and Josephson effect in 2D systems. In both cases effect of thermal fluctuations have been included.

Mar 23, 20200 citations

Macroscopic Quantum Tunnelling and Related Effects in Josephson Systems

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β

lasers, the GL theory is applicable even when the photon lifetime is comparable to the carrier lifetime and that photon-carrier relaxation oscillation is the fundamental origin of the breakdown of the GL theory, which can be understood in the framework of center manifold reduction.