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arXiv quant-ph/0102088quant-phcond-mat.stat-mechnlin.CDnucl-thphysics.atom-ph
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封闭多体系统中激发态的非常规衰减规律

Unconventional decay law for excited states in closed many-body systems

V. V. Flambaum, F. M. Izrailev

摘要:

本文研究了有限相互作用费米粒子系统中初始激发多体态在相互作用产生复合态“混沌”结构的情况下的时间演化。这种情况对于量子系统中的高激发多粒子态是普遍的,例如重原子核、复杂原子、量子点、自旋系统和量子计算机。对于强相互作用,返回概率$W(t)$的首项具有$W(t)\simeq \exp (-Δ_E^2t^2)$的形式,其中$Δ_E^2$作为强度函数的方差。传统的指数线性相关性$W(t)=C\exp (-Γt)$正式出现了很长一段时间。然而,前因子$C$变成指数大,从而导致与$W(t)$的常规估计的强烈差异。

英文摘要:

We study the time evolution of an initially excited many-body state in a finite system of interacting Fermi-particles in the situation when the interaction gives rise to the ``chaotic'' structure of compound states. This situation is generic for highly excited many-particle states in quantum systems, such as heavy nuclei, complex atoms, quantum dots, spin systems, and quantum computers. For a strong interaction the leading term for the return probability $W(t)$ has the form $W(t)\simeq \exp (-Δ_E^2t^2)$ with $Δ_E^2$ as the variance of the strength function. The conventional exponential linear dependence $W(t)=C\exp (-Γt)$ formally arises for a very large time. However, the prefactor $C$ turns out to be exponentially large, thus resulting in a strong difference from the conventional estimate for $W(t)$.

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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