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Spectral classification of coupling regimes in the quantum Rabi model

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Author(s):
Rossatto, Daniel Z. ; Villas-Boas, Celso J. ; Sanz, Mikel ; Solano, Enrique
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 96, n. 1, p. 13-pg., 2017-07-24.
Abstract

The quantum Rabi model is in the scientific spotlight due to the recent theoretical and experimental progress. Nevertheless, a full-fledged classification of its coupling regimes remains as a relevant open question. We propose a spectral classification dividing the coupling regimes into three regions based on the validity of perturbative criteria on the quantum Rabi model, which allows us the use of exactly solvable effective Hamiltonians. These coupling regimes are (i) the perturbative ultrastrong coupling regime which comprises the Jaynes-Cummings model, (ii) a region where nonperturbative ultrastrong and nonperturbative deep strong coupling regimes coexist, and (iii) the perturbative deep strong coupling regime. We show that this spectral classification depends not only on the ratio between the coupling strength and the natural frequencies of the unperturbed parts, but also on the energy to which the system can access. These regimes additionally discriminate the completely different behaviors of several static physical properties, namely the total number of excitations, the photon statistics of the field, and the cavity-qubit entanglement. Finally, we explain the dynamical properties which are traditionally associated with the deep strong coupling regime, such as the collapses and revivals of the state population, in the frame of the proposed spectral classification. (AU)

FAPESP's process: 13/23512-7 - Circuit Quantum Electrodynamics: Bistability and Squeezed States
Grantee:Daniel Zini Rossatto
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/24576-1 - Ultrastrong and deep strong coupling regimes in circuit quantum electrodynamics
Grantee:Daniel Zini Rossatto
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 13/04162-5 - Development of quantum sensors based on ultracold atoms
Grantee:Philippe Wilhelm Courteille
Support Opportunities: Research Projects - Thematic Grants