Entanglement Evolution Characteristics of Quantum Rabi Models with Two Arbitrary Qubits

Yuhu Xu; Xuezao Ren; Xueying Liu

doi:10.3788/AOS201838.0127001

[1] Chilingaryan S A, Rodríguezlara B M. The quantum Rabi model for two qubits[J]. Journal of Physics A, 46, 335301(2013). http://www.oalib.com/paper/3843506

[3] Pati A K. Minimum classical bit for remote preparation and measurement of a qubit[J]. Physical Review A, 63, 014302(2000). http://adsabs.harvard.edu/abs/1999quant.ph..7022P

[4] Huang Y F, Guo G C. Experimental preparation and manipulation of quantum entangled states[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 26, 569-576(2009). http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZKYB200904021.htm

[5] Sillanpää M A, Park J I, Simmonds R W. Coherent quantum state storage and transfer between two phase qubits via a resonant cavity[J]. Nature, 449, 438-442(2007). http://www.nature.com/nature/journal/v449/n7161/abs/nature06124.html

[6] Englund D, Faraon A, Fushman I et al. Controlling cavity reflectivity with a single quantum dot[J]. Nature, 450, 857-861(2007). http://europepmc.org/abstract/med/18064008

[7] Ji Y H, Liu Y M. Controllable preparation of two-mode entangled coherent states in circuit QED[J]. Chinese Physics B, 23, 169-173(2014). http://www.cqvip.com/qk/85823x/201411/662812570.html

[8] Braak D. Continuedfractions and the Rabi model[J]. Journal of Physics A, 46, 175301(2013). http://arxiv.org/abs/1205.3439

[9] Duan L W, He S, Chen Q H. Concise analytic solutions to the quantum Rabi model with two arbitrary qubits[J]. Annals of Physics, 355, 121-129(2015). http://www.sciencedirect.com/science/article/pii/S000349161500038X

[10] Peng J, Ren Z Z, Guo G J et al. Exact solutions of the generalized two-photon and two-qubit Rabi models[J]. European Physical Journal D, 67, 162(2013). http://link.springer.com/article/10.1140/epjd/e2013-40183-5

[11] Chen Q H, Liu T, Zhang Y Y et al. Quantum phase transitions in coupled two-level atoms in a single-mode cavity[J]. Physical Review A, 82, 053841(2010). http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=VIRT04000010000012000061000001&idtype=cvips&gifs=Yes

[12] Dong K. Dynamics of two arbitrary qubits strongly coupled to a quantum oscillator[J]. Chinese Physics B, 25, 124202(2016). http://www.cqvip.com/QK/85823A/201612/670770630.html

[13] Mao L J, Huai S N, Zhang Y B. The two-qubit quantum Rabi model: Inhomogeneous coupling[J]. Journal of Physics A, 48, 345302(2015). http://adsabs.harvard.edu/abs/2015JPhA...48H5302M

[14] Cong H L, Ren X Z, Liao X. Quantum properties of two-photon Jaynes—Cummings model without rotating wave approximation[J]. Acta Optica Sinica, 35, 0727002(2015).

[15] Ren X Z, Cong H L, Wang X W et al. Quantum entanglement of the binomial field interacting with a cascade three-level atom beyond the rotating wave approximation[J]. Science China Physics Mechanics and Astronomy, 54, 1625-1630(2011). http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jgxg201109014&dbname=CJFD&dbcode=CJFQ

[16] Feng J P, Ren X Z. Steady state energy spectrum and the entanglement evolution of Tavis-Cummings model without rotating wave approximation[J]. Acta Photonica Sinica, 44, 0827003(2015).

[17] Fan A F, Lin D L, Chen X S. Non-resonance behaviour of the Jaynes-Cummings (JC) model—The atomic level occupation probabilities and coherent properties of the optical field[J]. Acta Optica Sinica, 11, 21-29(1991).

[18] Liu W Y, An Y Y, Yang Z Y. Influence of frequency detuning on evolution of quantum field entropy in multimode nondegenerate multi-photon Jaynes-Cummings model[J]. Acta Photonica Sinica, 37, 1057-1062(2008).

[19] Ren X Z, Jiang D L, Cong H L et al. Exact calculations of the energy spectra and the dynamical properties of a two-level system[J]. Acta Physica Sinica, 58, 5406-5411(2009).

[20] Wootters W K. Entanglement of formation of an arbitrary state of two qubits[J]. Physical Review Letters, 80, 2245-2248(1998). http://link.springer.com/article/10.1023/A%3A1012215309321