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arXiv 1503.01152gr-qcmath-phmath.MP
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无温度加速

Acceleration without Temperature

Alaric Doria, Gerardo Munoz

摘要:

我们表明,虽然一些非均匀加速的观察者(NUAO)确实看到玻色-爱因斯坦分布的粒子数算符的期望值在闵可夫斯基真空状态,密度矩阵是非热的,因此温度的定义是没有道理的。这是因为我们的NUAO在时空中看不到事件视界。更具体地说,闵可夫斯基真空态被我们的NUAO感知为单模压缩态,而不是均匀加速观察者的双模压缩态特征。单模和双模压缩态都是纯量子态;然而,在双模压缩态的一个模式中追踪自由度将纯密度矩阵减少为热密度矩阵。正是双模压缩态的这一特性使得人们能够一致地定义温度。在单模式情况下,等效跟踪既不需要也不可用。

英文摘要:

We show that while some non-uniformly accelerating observers (NUAOs) do indeed see a Bose-Einstein distribution of particles for the expectation value of the number operator in the Minkowski vacuum state, the density matrix is non-thermal and therefore a definition of temperature is not warranted. This is due to the fact that our NUAOs do not see event horizons in the spacetime. More specifically, the Minkowski vacuum state is perceived by our NUAOs as a single-mode squeezed state as opposed to the two-mode squeezed state characteristic of uniformly accelerating observers. Both single and two-mode squeezed states are pure quantum states; however, tracing over degrees of freedom in one of the modes of the two-mode squeezed state reduces the pure density matrix to a thermal density matrix. It is this property in the two-mode squeezed state that allows one to consistently define a temperature. In the single-mode case, an equivalent tracing is neither required nor available.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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