Statistical Theory of Energy Transfer to Small and Chaotic Quantum Systems Induced by a Slowly-Varying External Field

dc.creatorHigashiyama, Yasuhiro
dc.creatorShimizu, Akira
dc.date1999-03-04
dc.date.accessioned2026-07-07T02:35:40Z
dc.date.available2026-07-07T02:35:40Z
dc.descriptionWe study nonequilibrium properties of small and chaotic quantum systems, i.e., non-integrable systems whose size is small in the sense that the separations of energy levels are non-negligible as compared with other relevant energy scales. The energy change $ΔE$ induced by a slowly-varying external field $λ(t)$ is evaluated when the range of the variation $Δλ$ is large so that the linear response theory breaks down. A new statistical theory is presented, by which we can predict $<ΔE>$, the average of $ΔE$ over a finite energy resolution $δE$, as a function of $λ(t)$ if we are given the density of states smeared over $δE$, the average distance of the anticrossings, and a constant $K \lesssim 1$.
dc.description4 pages including 4 figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9903007
dc.identifierhttp://arxiv.org/abs/chao-dyn/9903007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15693
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleStatistical Theory of Energy Transfer to Small and Chaotic Quantum Systems Induced by a Slowly-Varying External Field
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