منابع مشابه
Irreversible quantum graphs
Irreversibility is introduced to quantum graphs by coupling the graphs to a bath of harmonic oscillators. The interaction which is linear in the harmonic oscillator amplitudes is localized at the vertices. It is shown that for sufficiently strong coupling, the spectrum of the system admits a new continuum mode which exists even if the graph is compact, and a single harmonic oscillator is couple...
متن کاملOn a Mathematical Model of Irreversible Quantum Graphs
The “irreversible quantum graph” model, suggested by U. Smilansky, is considered. Mathematically, the problem is in the investigation of the spectrum of the operator Aα determined by an infinite system of ordinary differential equations on a graph and by a system of boundary conditions, such as conditions on the jumps of derivatives. The operator depends on a parameter α ≥ 0 involved in the bou...
متن کاملSmilansky’s Model of Irreversible Quantum Graphs, Ii: the Point Spectrum
In the model suggested by Smilansky [6] one studies an operator describing the interaction between a quantum graph and a system of K one-dimensional oscillators attached at different points of the graph. This paper is a continuation of [3] in which we started an investigation of the case K > 1. For the sake of simplicity we consider K = 2, but our argument applies to the general situation. In t...
متن کاملIrreversible quantum baker map.
We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of t...
متن کاملQuantum teleportation without irreversible detection.
Brief Reports are accounts of completed research which do not warrant regular articles or the priority handling given to Rapid Communications; however, the same standards of scientific quality apply. (Addenda are included in Brief Reports.) A Brief Report may be no longer than four printed pages and must be accompanied by an abstract. The same publication schedule as for regular articles is fol...
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ژورنال
عنوان ژورنال: Waves in Random Media
سال: 2004
ISSN: 0959-7174,1361-6676
DOI: 10.1088/0959-7174/14/1/016