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Broken selection rule in the quantum Rabi model

P. Forn-Díaz, G. Romero, C. J. P. M. Harmans +2 more

Understanding the interaction between light and matter is very relevant for fundamental studies of quantum electrodynamics and for the development of quantum technologies. The quantum Rabi model captures the physics of a single atom interacting with a single photon at all regimes of coupling strength. We report the spectroscopic observation of a resonant transition that breaks a selection rule in the quantum Rabi model, implemented using an LC resonator and an artificial atom, a superconducting qubit. The eigenstates of the system consist of a superposition of bare qubit-resonator states with a relative sign. When the qubit-resonator coupling strength is negligible compared to their own frequencies, the matrix element between excited eigenstates of different sign is very small in presence of a resonator drive, establishing a sign-preserving selection rule. Here, our qubit-resonator system operates in the ultrastrong coupling regime, where the coupling strength is 10% of the resonator frequency, allowing sign-changing transitions to be activated and, therefore, detected. This work shows that sign-changing transitions are an unambiguous, distinctive signature of systems operating in the ultrastrong coupling regime of the quantum Rabi model. These results pave the way to further studies of sign-preserving selection rules in multiqubit and multiphoton models.Understanding the interaction between light and matter is very relevant for fundamental studies of quantum electrodynamics and for the development of quantum technologies. The quantum Rabi model captures the physics of a single atom interacting with a single photon at all regimes of coupling strength. We report the spectroscopic observation of a resonant transition that breaks a selection rule in the quantum Rabi model, implemented using an LC resonator and an artificial atom, a superconducting qubit. The eigenstates of the system consist of a superposition of bare qubit-resonator states with a relative sign. When the qubit-resonator coupling strength is negligible compared to their own frequencies, the matrix element between excited eigenstates of different sign is very small in presence of a resonator drive, establishing a sign-preserving selection rule. Here, our qubit-resonator system operates in the ultrastrong coupling regime, where the coupling strength is 10% of the resonator frequency, allowing sign-changing transitions to be activated and, therefore, detected. This work shows that sign-changing transitions are an unambiguous, distinctive signature of systems operating in the ultrastrong coupling regime of the quantum Rabi model. These results pave the way to further studies of sign-preserving selection rules in multiqubit and multiphoton models.

arXiv:1510.03379Scientific ReportsJun 7, 201663 citations

On the spectrum of the quantum Rabi model

Anne Boutet de Monvel, Lech Zieliński

Operator theoryJan 1, 20208 citations

Parity Symmetry and Parity Breaking in the Quantum Rabi Model with Addition of Ising Interaction

王琼, 贺志, 姚春梅

We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced. In contrast to a mathematical treatment in a previous publication [J. Phys. A 46(2013) 265302], we consider a physically realistic method by involving an additional spin into the quantum Rabi model to couple with the original spin by an Ising interaction, and then the parity symmetry is broken as well as the scaling behavior of the ground state by introducing a bias. The rule can be found that the parity symmetry is broken by introducing a bias and then restored by adding new degrees of freedom. Experimental feasibility of realizing the models under discussion is investigated.We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced. In contrast to a mathematical treatment in a previous publication [J. Phys. A 46(2013) 265302], we consider a physically realistic method by involving an additional spin into the quantum Rabi model to couple with the original spin by an Ising interaction, and then the parity symmetry is broken as well as the scaling behavior of the ground state by introducing a bias. The rule can be found that the parity symmetry is broken by introducing a bias and then restored by adding new degrees of freedom. Experimental feasibility of realizing the models under discussion is investigated.

理论物理通讯：英文版Jan 1, 20150 citations

Quantum-Mechanical Selection Rules

David W. Ball

Jun 22, 20120 citations

Quantum-Mechanical Selection Rules

SPIE eBooksSep 4, 20090 citations

Parity symmetry and parity breaking in the quantum Rabi model

Wang Qion

The well-known quantum Rabi model strictly describes the simplest interaction between matter and the quantum light.We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced.We consider a physically realistic method by involving an additional spin into the quantum Rabi model to couple with the original spin by an Ising interaction.The rule can be found that the parity symmetry is broken by introducing a bias and then restored by adding new degrees of freedom.The well-known quantum Rabi model strictly describes the simplest interaction between matter and the quantum light.We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced.We consider a physically realistic method by involving an additional spin into the quantum Rabi model to couple with the original spin by an Ising interaction.The rule can be found that the parity symmetry is broken by introducing a bias and then restored by adding new degrees of freedom.

Journal of Hunan University of Arts and ScienceJan 1, 20141 citation

Broken selection rule in the quantum Rabi model

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