Long-time signatures of short-time dynamics in decaying quantum-chaotic systems

Gorin, T.; Martinez, Dario; Schomerus, Henning

doi:10.1103/physreve.75.016217

Cited by 4 publications

(2 citation statements)

References 33 publications

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“…(2) predicts a power-like decay in time, in striking contrast to the exponential decay valid for Γ ≫ D. That prediction has been discussed and used in Refs. [14] and experimentally tested with microwave resonators in Refs. [12,15].…”

Section: S-matrix Autocorrelation Functionmentioning

confidence: 99%

Chaotic scattering in the regime of weakly overlapping resonances

et al. 2008

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We measure the transmission and reflection amplitudes of microwaves in a resonator coupled to two antennas at room temperature in the regime of weakly overlapping resonances and in a frequency range of 3-16GHz . Below 10.1GHz the resonator simulates a chaotic quantum system. The distribution of the elements of the scattering matrix S is not Gaussian. The Fourier coefficients of S are used for a best fit of the autocorrelation function of S to a theoretical expression based on random-matrix theory. We find very good agreement below but not above 10.1GHz .

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Section: S-matrix Autocorrelation Functionmentioning

confidence: 99%

Chaotic scattering in the regime of weakly overlapping resonances

et al. 2008

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“…As a final comment to this section, we should mention that the general question of the time evolution of complex excited states and deviations from the exponential decay law has huge literature and we do not make an attempt to cover it here, limiting ourselves to a few references closely related to the main content of this review [109][110][111][112][113][114]229].…”

Section: Some Technicalities a Favorable Technical Feature Of Working...mentioning

confidence: 99%

Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems

Auerbach¹,

Zelevinsky²

2011

Rep. Prog. Phys.

118

173

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The phenomenon of super-radiance (Dicke effect, coherent spontaneous radiation by a gas of atoms coupled through the common radiation field) is well known in quantum optics. The review discusses similar physics that emerges in open and marginally stable quantum many-body systems. In the presence of open decay channels, the intrinsic states are coupled through the continuum. At sufficiently strong continuum coupling, the spectrum of resonances undergoes the restructuring with segregation of very broad super-radiant states and trapping of remaining long-lived compound states. The appropriate formalism describing this phenomenon is based on the Feshbach projection method and effective non-Hermitian Hamiltonian. A broader generalization is related to the idea of doorway states connecting quantum states of different structure. The method is explained in detail and the examples of applications are given to nuclear, atomic and particle physics. The interrelation of the collective dynamics through continuum and possible intrinsic many-body chaos is studied, including universal mesoscopic conductance fluctuations. The theory serves as a natural framework for general description of a quantum signal transmission through an open mesoscopic system.

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Double-Slit Experiments

Jaroszkiewicz

Quantized Detector Networks

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Long-time signatures of short-time dynamics in decaying quantum-chaotic systems

Cited by 4 publications

References 33 publications

Chaotic scattering in the regime of weakly overlapping resonances

Chaotic scattering in the regime of weakly overlapping resonances

Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems

Double-Slit Experiments

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