Generalized rotating-wave approximation for the two-qubit quantum Rabi model

作者: Yu-Yu Zhang , Qing-Hu Chen

DOI: 10.1103/PHYSREVA.91.013814

关键词: Hamiltonian (quantum mechanics)QubitQuantumQuantum electrodynamicsPopulation inversionAdiabatic processCavity quantum electrodynamicsPhysicsEigenvalues and eigenvectorsRotating wave approximationQuantum mechanics

摘要: The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . analytical expressions in zeroth order recover previous adiabatic ones. counterrotating-wave terms can be eliminated by performing first corrections. An effective solvable Hamiltonian with same form as ordinary RWA one are then obtained, giving a significantly accurate eigenvalues eigenstates. Energy levels present GRWA accordant numerical exact diagonalization ones wide range of coupling strength. atomic population inversion quantitative agreement results different detunings ultrastrong regime.

参考文章(38)
Thomas Niemczyk, F Deppe, H Huebl, EP Menzel, F Hocke, MJ Schwarz, JJ Garcia-Ripoll, D Zueco, T Hümmer, E Solano, A Marx, R Gross, None, Circuit quantum electrodynamics in the ultrastrong-coupling regime Nature Physics. ,vol. 6, pp. 772- 776 ,(2010) , 10.1038/NPHYS1730
P. Forn-Díaz, J. Lisenfeld, D. Marcos, J. J. García-Ripoll, E. Solano, C. J. P. M. Harmans, J. E. Mooij, Observation of the Bloch-Siegert shift in a qubit-oscillator system in the ultrastrong coupling regime. Physical Review Letters. ,vol. 105, pp. 237001- ,(2010) , 10.1103/PHYSREVLETT.105.237001
A. Fedorov, A. K. Feofanov, P. Macha, P. Forn-Díaz, C. J. P. M. Harmans, J. E. Mooij, Strong coupling of a quantum oscillator to a flux qubit at its symmetry point. Physical Review Letters. ,vol. 105, pp. 060503- ,(2010) , 10.1103/PHYSREVLETT.105.060503
M.H. Devoret, Steven Girvin, Robert Schoelkopf, Circuit-QED: How strong can the coupling between a Josephson junction atom and a transmission line resonator be? Annalen der Physik. ,vol. 16, pp. 767- 779 ,(2007) , 10.1002/ANDP.200710261
J. Q. You, Franco Nori, Superconducting Circuits and Quantum Information Physics Today. ,vol. 58, pp. 42- 47 ,(2005) , 10.1063/1.2155757
J. Q. You, Franco Nori, Atomic physics and quantum optics using superconducting circuits Nature. ,vol. 474, pp. 589- 597 ,(2011) , 10.1038/NATURE10122
Jian Li, M.P. Silveri, K.S. Kumar, J.-M. Pirkkalainen, A. Vepsäläinen, W.C. Chien, J. Tuorila, M.A. Sillanpää, P.J. Hakonen, E.V. Thuneberg, G.S. Paraoanu, Motional averaging in a superconducting qubit. Nature Communications. ,vol. 4, pp. 1420- ,(2013) , 10.1038/NCOMMS2383
E.T. Jaynes, F.W. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser Proceedings of the IEEE. ,vol. 51, pp. 89- 109 ,(1963) , 10.1109/PROC.1963.1664
Xiufeng Cao, JQ You, Hang Zheng, Franco Nori, None, A qubit strongly coupled to a resonant cavity: asymmetry of the spontaneous emission spectrum beyond the rotating wave approximation New Journal of Physics. ,vol. 13, pp. 073002- ,(2011) , 10.1088/1367-2630/13/7/073002
Yu-Yu Zhang, Qing-Hu Chen, Shi-Yao Zhu, Vacuum Rabi Splitting and Dynamics of the Jaynes—Cummings Model for Arbitrary Coupling Chinese Physics Letters. ,vol. 30, pp. 114203- 114203 ,(2013) , 10.1088/0256-307X/30/11/114203