Some systems have a significant spectral gap, whereas others are gapless.
有些系统有明显的频谱间隙,而其他系统则无间隙。
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They don't have the energy needed to overcome the spectral gap.
它们没有足够的能量来克服光谱差距。
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Complex quantum systems are Turing-complete, and their halting problem is the spectral gap question.
复杂量子系统是图灵完备的,其停机问题就是谱隙问题。
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Only recently, in 2015, did mathematicians prove that in general the spectral gap question is undecidable.
直到最近的 2015 年,数学家才证明谱隙问题一般是不可判定的。
英语百科
Spectral gap
In mathematics, the spectral gap is the difference between the moduli of the two largest eigenvalues of a matrix or operator; alternately, it is sometimes taken as the smallest non-zero eigenvalue. Various theorems relate this difference to other properties of the system.