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Wigner function description of a qubit-oscillator system
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10.1063/1.4795201
/content/aip/journal/ltp/39/3/10.1063/1.4795201
http://aip.metastore.ingenta.com/content/aip/journal/ltp/39/3/10.1063/1.4795201
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Collapse and revival of a coherent state in an oscillator linearly coupled to a qubit. The Wigner function is plotted as a function of time. The model parameters in the Hamiltonian of Eq. (1) are Ω = ω = 0.48, g 1 = 0.05, and g 2 = g 3 = 0. The qubit is initially in a symmetric superposition of up and down states; the initial coherent state of the oscillator contains ⟨a a⟩ = 16 photons (Eq. (25) ).

Image of FIG. 2.
FIG. 2.

Collapse and revival for varying linear coupling strength. The initial state is the same as in Fig. 1 . The Wigner function is plotted for g 2 = g 3 = 0 and (a) Ω = ω = 1, g 1 = 0.1; (b) Ω = ω = 0.5, g 1 = 0.5; (c) Ω = ω = 0.1, g 1 = 0.2.

Image of FIG. 3.
FIG. 3.

Effect of quadratic coupling on collapse and revivals of the initial state Eq. (25) . For weak coupling (Ω = ω = 1; g 1 = g 2 = g 3 = 0.1) the collapse and revival of the diagonal components, (a) and (b) are almost identical to the linear case (g 3 = 0, Fig. 2 ). Relatively strong linear coupling (Ω = ω = 0.1; g 1 = g 2 = 0.1; g 3 = 0.01) changes the trajectories of the cat state components and disrupts the revivals (c).

Image of FIG. 4.
FIG. 4.

Evolution of the initial oscillator Fock state with strong linear and weak quadratic qubit-oscillator coupling (Ω = ω = 0.1; g 1 = g 2 = 0.1; g 3 = 0.01). The qubit is initially in a symmetric superposition of states. The components , , and are shown in panels (a), (b), and (c), respectively.

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/content/aip/journal/ltp/39/3/10.1063/1.4795201
2013-03-27
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Wigner function description of a qubit-oscillator system
http://aip.metastore.ingenta.com/content/aip/journal/ltp/39/3/10.1063/1.4795201
10.1063/1.4795201
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