6533b85dfe1ef96bd12be822

RESEARCH PRODUCT

A continued fraction based approach for the Two-photon Quantum Rabi Model

Enrique SolanoEnrique SolanoEnrique SolanoElena LupoAntonino MessinaAnna NapoliIñigo L. Egusquiza

subject

0301 basic medicineCurrent (mathematics)Two-photon Quantum Rabi modelCalibration (statistics)TruncationStructure (category theory)Collapse (topology)FOS: Physical scienceslcsh:MedicineelectrodynamicsContinued fractionSignalArticleSettore FIS/03 - Fisica Della Materia03 medical and health sciences0302 clinical medicineFraction (mathematics)Statistical physicslcsh:ScienceQuantumPhysicsQuantum PhysicsMultidisciplinaryatomlcsh:RspaceSpectral function030104 developmental biologylcsh:QQuantum Physics (quant-ph)030217 neurology & neurosurgery

description

We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allows numerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide independent checks and calibration of the numerical results by studying an exactly solvable case and comparing the essential qualitative structure of the spectral functions. We stress that the large time limit of the survival probability provides us with an indicator of spectral collapse, and propose a technique for the detection of this signal in the current and upcoming quantum simulations of the model. E.L. acknowledges fruitful discussions with D. Braak. I.L.E. and E.S. acknowledge funding from Spanish MINECO/FEDER FIS2015-69983-P and the Basque Government IT986-16.

yearjournalcountryeditionlanguage
2019-03-11
10.1038/s41598-019-39281-4http://arxiv.org/abs/1807.08674