论文标题
热场双状态的全息纠缠熵增长率的上限
Upper bounds of holographic entanglement entropy growth rate for thermofield double states
论文作者
论文摘要
我们研究了Thermofield Double（TFD）状态的全息纠缠熵生长速率的上限。通过比较真空广告的病例和带电的ADS黑洞，我们可以猜想：对于所有静态平面或球形对称的渐近schwarzschild-ads黑洞的黑洞具有相同的质量密度或熵密度，真空吸尘器ADS黑洞为黑洞提供了最大的纠缠端内生长速度。我们通过假设能量条件来提供证据。我们还考虑了带有真实标量场情况的广告黑洞时空，标量场违反了主要的能量条件，而散装几何形状并非渐近地施瓦兹柴尔德。数值结果表明，如果我们固定熵，这种情况真空黑洞仍然具有最大的生长速率。但是，在固定能量的情况下，真空病例仅在标准量化方案下具有最大的纠缠熵生长速率。
We studied the upper bounds of the holographic entanglement entropy growth rate for thermofield double (TFD) states. By comparing the cases of vacuum AdS and charged AdS black holes, we conjecture: for all static planar or spherically symmetric asymptotically Schwarzschild-AdS black holes of same mass density or entropy density, the vacuum AdS black hole gives the maximum entanglement entropy growth rate. We gave proofs by assuming dominant energy condition. We also considered the AdS black hole spacetime with real scalar fields case, where the scalar fields violate the dominant energy condition and the bulk geometry is not asymptotically Schwarzschild-AdS. Numerical results show that this case vacuum black hole still has maximal growth rate if we fixed entropy. However, in the case of fixed energy, vacuum case has maximal growth rate of entanglement entropy only under standard quantization scheme.
