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

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

2001-02-17

arxiv.org/abs/quant-ph/0102088v1

Phys.Rev.E64:026124,2001

Physics

Quantum Physics

RevTex, 4 pages including 1 eps-figure

Scientific paper

10.1103/PhysRevE.64.026124

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 $W(t)\simeq \exp (-\Delta_E^2t^2)$ with $\Delta_E^2$ as the variance of the strength function. The conventional exponential linear dependence $W(t)=C\exp (-\Gamma t)$ 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 $W(t)$.

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