Erratum: Generalized Rotating-Wave Approximation for Arbitrarily Large Coupling [Phys. Rev. Lett. 
<b>99</b>
, 173601 (2007)]

We propose a scheme to demonstrate the electromagnetically induced transparency (EIT) in a system of a superconducting Cooper-pair box coupled to a nanomechanical resonator. In this scheme, the nanomechanical resonator plays an important role to contribute additional auxiliary energy levels to the Cooper-pair box so that the EIT phenomenon could be realized in such a system. We call it here resonator-assisted induced transparency (RAIT). This RAIT technique provides a detection scheme in a real experiment to measure physical properties, such as the vibration frequency and the decay rate, of the coupled nanomechanical resonator.

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Section: Experimental Parameters and Resultsmentioning

confidence: 99%

“…Therefore, a displaced oscillator basis will allow us to use the ordinary harmonic oscillator formalism within each displaced potential well. The Hamiltonian of equation (45) can then be diagonalized [53,54] in the eigenbasis of…”

Section: Experimental Parameters and Resultsmentioning

confidence: 99%

Nanomechanical-resonator-assisted induced transparency in a Cooper-pair box system

et al. 2008

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“…(1) so far, but some approximation methods have been discussed for one-qubit case without RWA (such as [16], [17]). In the next section, we present two adiabatic approximations that can be used to describe our system under different regimes of parameters.…”

Section: System and Hamiltonianmentioning

confidence: 99%

“…(15)- (16). It can be rewritten as |ψ n 0 2 = 1/ √ 2(−|e 1 , g 2 + |g 1 , e 2 ) ⊗ |n 0 , which means that oscillator is decoupled to the states of the qubits.…”

Section: Eigenenergies Of This Effective Hamiltonian Are Given Bymentioning

confidence: 99%

Adiabatic approximation in the ultrastrong-coupling regime of an oscillator and two qubits

2012

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We present a system composed of two flux qubits and a transmission-line resonator. Instead of using the rotating wave approximation (RWA), we analyse the system by the adiabatical approximation methods under two opposite extreme conditions. Basic properties of the system are calculated and compared under these two different conditions. Energy-level spectrum of the system in the adiabatical displaced oscillator basis is shown, and the theoretical result is compared with the numerical solution.

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“…On the other hand, in recent years, the study of light-matter interactions in the ultra-strong coupling regime, where the rotating wave approximation is no longer valid, is becoming important [24][25][26][27][28][29][30][31]. It is therefore of fundamental importance to understand topological effects beyond the rotating wave approximation.…”

mentioning

confidence: 99%

Topologically nontrivial Floquet band structure in a system undergoing photonic transitions in the ultrastrong-coupling regime

Yuan

Fan

2015

Phys. Rev. A

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We consider a system of dynamically-modulated photonic resonator lattice undergoing photonic transition, and show that in the ultra-strong coupling regime such a lattice can exhibit non-trivial topological properties, including topologically non-trivial band gaps, and the associated topologically-robust one-way edge states. Compared with the same system operating in the regime where the rotating wave approximation is valid, operating the system in the ultra-strong coupling regime results in one-way edge modes that has a larger bandwidth, and is less susceptible to loss. Also, in the ultra-strong coupling regime, the system undergoes a topological insulator-tometal phase transition as one varies the modulation strength. This phase transition has no counter part in systems satisfying the rotating wave approximation, and its nature is directly related to the non-trivial topology of the quasi-energy space.

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Erratum: Generalized Rotating-Wave Approximation for Arbitrarily Large Coupling [Phys. Rev. Lett. 99 , 173601 (2007)]

Cited by 130 publications

References 1 publication

Nanomechanical-resonator-assisted induced transparency in a Cooper-pair box system

Nanomechanical-resonator-assisted induced transparency in a Cooper-pair box system

Adiabatic approximation in the ultrastrong-coupling regime of an oscillator and two qubits

Topologically nontrivial Floquet band structure in a system undergoing photonic transitions in the ultrastrong-coupling regime

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