The Abdus Salam ICTP, Strada Costiera 11, Trieste, Italy.
Phys Rev Lett. 2009 Oct 16;103(16):166401. doi: 10.1103/PhysRevLett.103.166401. Epub 2009 Oct 12.
We propose a Gaussian scalar field theory in a curved 2D metric with an event horizon as the low-energy effective theory for a weakly confined, invariant random matrix ensemble (RME). The presence of an event horizon naturally generates a bath of Hawking radiation, which introduces a finite temperature in the model in a nontrivial way. A similar mapping with a gravitational analogue model has been constructed for a Bose-Einstein condensate (BEC) pushed to flow at a velocity higher than its speed of sound, with Hawking radiation as sound waves propagating over the cold atoms. Our work suggests a threefold connection between a moving BEC system, black-hole physics and unconventional RMEs with possible experimental applications.
我们提出了一种在具有视界的弯曲 2D 度量中的高斯标量场理论，作为弱约束、不变随机矩阵系综（RME）的低能有效理论。视界的存在自然地产生了霍金辐射的浴，以非平凡的方式在模型中引入了有限温度。已经为以高于其声速的速度推动流动的玻色-爱因斯坦凝聚体（BEC）构建了具有类似引力模型的类似映射，其中霍金辐射作为声波在冷原子上传播。我们的工作表明，运动 BEC 系统、黑洞物理学和非常规 RME 之间存在三重联系，可能具有实验应用。
