An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime

doi:10.1088/1674-1056/27/5/054219

Abstract

An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by assuming the form of the ground state wave function. The key of the method is to introduce a variational parameter λ, which can be determined by minimizing the energy functional. Using this method, we calculate the physical observables with high accuracy in comparison with the numerical exact ones. Our method evidently improves over the widely used general rotating-wave approximation (GRWA) in both qualitative and quantitative aspects.

Keywords: ultra-strong coupling biased quantum Rabi model analytical variational method

Received: 17 December 2017
Revised: 19 February 2018
Accepted manuscript online:

PACS:	42.50.Pq	(Cavity quantum electrodynamics; micromasers)
	42.50.Hz	(Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos.11674139,11604009,and 11704025),the Program for Changjiang Scholars and Innovative Research Team in University,China (Grant No.IRT-16R35),and the Fundamental Research Funds for the Central Universities,China.ZJY also acknowledges the financial support of the Future and Emerging Technologies (FET) programme within the Seventh Framework Programme for Research of the European Commission,under FET-Open Grant No.618083(CNTQC).

Corresponding Authors: Hong-Gang Luo
E-mail: luohg@lzu.edu.cn

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Bin-Bin Mao(毛斌斌), Maoxin Liu(刘卯鑫), Wei Wu(吴威), Liangsheng Li(李粮生), Zu-Jian Ying(应祖建), Hong-Gang Luo(罗洪刚) An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime 2018 Chin. Phys. B 27 054219

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[1]	Dynamics of two arbitrary qubits strongly coupled to a quantum oscillator Kun Dong(董锟). Chin. Phys. B, 2016, 25(12): 124202.
[2]	Evolution of entanglement between qubits ultra-strongly coupling to a quantum oscillator Ma Yue (马悦), Dong Kun (董锟), Tian Gui-Hua (田贵花). Chin. Phys. B, 2014, 23(9): 094204.

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An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime

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