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Open Quantum Systems Decoherence
Quantum State Preparation Representation
Quantum Simulation
Full spectrum of the Rabi model
arXiv
Authors: Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
Year
2013
Paper ID
32124
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
It is shown that in the Rabi model, for an integer value of the spectral parameter x, in addition to the finite number of the classical Judd states there exist infinitely many possible eigenstates. These eigenstates exist if the parameters of the problem are zeros of a certain transcendental function; in other words, there are infinitely many possible choices of parameters for which integer x belongs to the spectrum. Morover, it is shown that the classical Judd eigenstates appear as degenerate cases of the confluent Heun function.
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- It is shown that in the Rabi model, for an integer value of the spectral parameter x, in addition to the finite number of the classical Judd states there exist infinitely many...
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