On a statistical theory of overlapping resonances

Atomic Nucleus as Chaotic Quantum Many-Body System

“…Many results turn out to be common for nuclear physics and condensed matter physics of disordered materials [48]. Here I limit myself with few references [49][50][51][52][53][54][55][56].…”

Quest for superradiance in atomic nuclei

“…Thus, mathematically, the factorized term iπ AA † is of low rank; if this term is dominating the effective Hamiltonian (5) then this would force segregation of eigenvectors into those orthogonal to channels |A c (E) and to eigenvectors that are nearly parallel to |A c (E) in the Hilbert space. The number of nearly parallel ones, those referred to as superradiant, equals to the number of open channels and these states accumulate almost all width (imaginary part) thus absorbing most of the decay strength [6,7].…”

Exploring quantum dynamics in an open many-body system: transition to superradiance

“…2, this structure is related to the analytical structure of the problem and unitarity requirements. The formation of fast and slow decay modes, which can be viewed as an ultimate width repulsion, is a typical effect in systems with overlapping resonances [16,17]. In particular, a detailed discussion for two-level examples can be found in [11,13,14,18] and references therein.…”

“…There the quantity n ν becomes the effective probability of finding the molecule 1 in the radiating state with s z = 1/2. For the two mixed states with S z = 0 it can be easily calculated using the definition (23) and the expression for the complex energy (16). Even in the limited example of two Figure 7.…”