Control of the Lamb shift by a driving field

Yang, S.; Zheng, Hang; Hong, R.; Zhu, Shi Yao; Zubairy, M. Suhail

doi:10.1103/physreva.81.052501

Cited by 7 publications

(2 citation statements)

References 14 publications

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“…The transformed rotating-wave approximation method is developed by one of the author and then applied to a sequence of problems [38][39][40][41][48][49][50][51][52][53][54][55][56][57][58][59][60] Our starting point is the SBM with the structured spectral density. A unitary transformation is first applied to the SBM Hamiltonian, H ′ = exp(S)H exp(−S), with the generator S ≡ k…”

Section: Transformed Rotating-wave Approximation Methodsmentioning

confidence: 99%

Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence

Huang,

Zheng,

Nasu

2010

Preprint

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The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is a qubit coupled to harmonic oscillator (HO), which in turn coupled to a Ohmic environment. Two different methods are applied and compared for this problem. One is a perturbation method based on a unitary transformation. Since the transformed hamiltonian is of rotating wave approximation (RWA) form, we call it the transformed rotating wave approximation (TRWA) method. And the other one is the numerically exact method of the quasi-adiabatic propagator path-integral (QUAPI) method. TRWA method can be applied from the first point of view. And the QUAPI method can applied from both points of views. We find that from the 1st point of view QUAPI only works well for large Γ. Since the memory time is too long for the practical evaluation of QUAPI when Γ is small. We call this treatment as QUAPI1. And from the 2nd point of view, QUAPI works well for small Γ, since the non-adiabatic effect become more important as Γ increases, one need smaller time-step and more steps to obtain accurate result which also quickly runs out the computational resources. This treatment is called QUAPI2. We find that the TRWA method works well for the whole parameter range of Γ and show good agreement with QUAPI1 and QUAPI2. On the other hand, we find that the decoherence of the qubit can be reduced with increasing coupling between HO and bath. This result may be relevant to the design of quantum computer.

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Section: Transformed Rotating-wave Approximation Methodsmentioning

confidence: 99%

Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence

Huang,

Zheng,

Nasu

2010

Preprint

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“…Such a transformation can significantly simplify the description because the Hamiltonian is represented in a suitable photon-atom dressed basis, in a way that virtual transitions between dressed states appear only as higher order processes. The transformation has been applied to the studies of quantum Rabi model [12,13], spinboson model [14][15][16], effects of counter-rotating terms on spontaneous decay [17][18][19], control of Lamb shift [20], and quantum Zeno and anti-Zeno effects [21][22][23]. Here we generalize this transformation to time-dependent systems and discover an interaction term directly connected to DCE or Unruh radiation.…”

Section: Introductionmentioning

confidence: 99%

Quantum radiation from a shaken two-level atom in vacuum

Law

2018

Phys. Rev. A

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We present a non-relativistic theory of quantum radiation generated by shaking a two-level atom in vacuum. Such radiation has the same origin of photon emission in dynamical Casimir effect. By performing a time-dependent "dressing" transformation to the Hamiltonian, we derive an interaction term that governs the radiation. In particular, we show that photon pairs can be generated, not only by shaking the position of the atom, but also by changing the internal states of the atom. As applications of our theory, we calculate the emission rate from an oscillating atom, and the multi-photon state generated in a single-photon scattering process.

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Coherent control of spontaneous emission: Effect of counter-rotating terms

Yang

et al. 2012

Physics Letters A

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Control of the Lamb shift by a driving field

Cited by 7 publications

References 14 publications

Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence

Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence

Quantum radiation from a shaken two-level atom in vacuum

Coherent control of spontaneous emission: Effect of counter-rotating terms

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