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首页> 外文期刊>Physical Review X >Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
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Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality

机译：驱动耗散的玻色-爱因斯坦临界态的微扰场理论重整化组方法

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摘要

The universal critical behavior of the driven-dissipative nonequilibrium Bose-Einstein condensation transition is investigated employing the field-theoretical renormalization group method. Such criticality may be realized in broad ranges of driven open systems on the interface of quantum optics and many-body physics, from exciton-polariton condensates to cold atomic gases. The starting point is a noisy and dissipative Gross-Pitaevski equation corresponding to a complex-valued Landau-Ginzburg functional, which captures the near critical nonequilibrium dynamics, and generalizes model A for classical relaxational dynamics with nonconserved order parameter. We confirm and further develop the physical picture previously established by means of a functional renormalization group study of this system. Complementing this earlier numerical analysis, we analytically compute the static and dynamical critical exponents at the condensation transition to lowest nontrivial order in the dimensional ε expansion about the upper critical dimension dc=4 and establish the emergence of a novel universal scaling exponent associated with the nonequilibrium drive. We also discuss the corresponding situation for a conserved order parameter field, i.e., (sub)diffusive model B with complex coefficients.
机译：利用场论重归一化群方法研究了驱动耗散非平衡玻色-爱因斯坦凝聚跃迁的普遍临界行为。从激子-极化子冷凝物到冷原子气体，在量子光学和多体物理学的接口上的各种开放式驱动系统中都可以实现这种临界。起点是一个嘈杂且耗散的Gross-Pitaevski方程，它对应于复数值的Landau-Ginzburg泛函，该方程捕获了接近临界的非平衡动力学，并推广了具有非保守阶数参数的经典松弛动力学的模型A。我们确认并进一步发展了以前通过该系统的功能重归一化小组研究建立的物理图像。作为对该早期数值分析的补充，我们分析了在上临界尺寸dc = 4上的尺寸ε展开时，在凝结转变到最低非平凡阶时的静态和动态临界指数，并建立了与非平衡相关的新型通用尺度指数的出现。驾驶。我们还讨论了守恒参数字段（即具有复杂系数的（子）扩散模型B）的相应情况。

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