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

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 stu...

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Detalles Bibliográficos
Autores: Lupo, Elena, Napoli, Anna, Messina, Antonino, Solano Villanueva, Enrique Leónidas, Egusquiza Egusquiza, Íñigo Luis
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/32827
Acceso en línea:http://hdl.handle.net/10810/32827
Access Level:acceso abierto
Palabra clave:space
atom
electrodynamics
Descripción
Sumario: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.