Transient trapping into metastable states in systems with competing orders

The quench dynamics of a system involving two competing orders is investigated using a Ginzburg-Landau theory with relaxational dynamics. We consider the scenario where a pump rapidly heats the system to a high temperature, after which the system cools down to its equilibrium temperature. We study the evolution of the order parameter amplitude and fluctuations in the resulting time dependent free energy landscape. Exponentially growing thermal fluctuations dominate the dynamics. The system typically evolves into the phase associated with the faster-relaxing order parameter, even if it is not the global free energy minimum. This theory offers a natural explanation for the widespread experimental observation that metastable states may be induced by laser induced collapse of a dominant equilibrium order parameter.Comment: 12 pages, 7 figure

Floquet engineering of many-body states by the Ponderomotive potential

The Ponderomotive force is a static second order force that a particle feels in an oscillating field, whose static potential may be called the Ponderomotive potential. We generalize this notion to that for generic degrees of freedom in periodically driven quantum many-body systems, and propose it as a convenient tool to engineer the non-equilibrium steady states beyond the single particle level. Applied to materials driven by light, the Ponderomotive potential is intimately related to the optical conductivity, which is enhanced close to resonances. We show that the Ponderomotive potential from the incident light may be used to induce exciton condensates in semiconductors, to generate attractive interactions leading to superconductivity in certain electron-phonon systems, and to create additional free energy minima in systems with charge/spin/excitonic orders. These effects are shown for realistic parameters such that they can be readily verified in ultrafast experiments.Comment: 5 pages, 3 figure

Research on the Problems of Housing Prices in Qingdao from a Macro Perspective

Qingdao is a seaside city. Taking into account the characteristics of Qingdao, this article established a multiple linear regression model to analyze the impact of macroeconomic factors on housing prices. We used stepwise regression method to make multiple linear regression analysis, and made statistical analysis of F test values and T test values. According to the analysis results, the model is continuously optimized. Finally, this article obtained the multiple linear regression equation and the influencing factors, and the reliability of the model was verified by F test and T test

Universal linear and nonlinear electrodynamics of the Dirac fluid

A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of the hydrodynamic nonlinear conductivity are shown to differ from their counterparts in the more familiar kinetic regime of higher frequencies. Due to universality of the hydrodynamic equations, the obtained formulas are valid for systems with an arbitrary Dirac-like dispersion, ranging from solid-state electron gases to free-space plasmas, either massive or massless, at any temperature, chemical potential or space dimension. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.Comment: 5 pages, 4 figure