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Generation of macroscopic Schr ö dinger cat state in diamond mechanical resonator

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ABSTRACT

We propose a scheme to generate macroscopic Schrödinger cat state (SCS) in diamond mechanical resonator (DMR) via the dynamical strain-mediated coupling mechanism. In our model, the direct coupling between the nitrogen-vacancy (NV) center and lattice strain field enables coherent spin–phonon interactions in the quantum regime. Based on a cyclic Δ-type transition structure of the NV center constructed by combining the quantized mechanical strain field and a pair of external microwave fields, the populations of the different energy levels can be selectively transferred by controlling microwave fields, and the SCS can be created by adjusting the controllable parameters of the system. Furthermore, we demonstrate the nonclassicality of the mechanical SCS both in non-dissipative case and dissipative case. The experimental feasibility and challenge are justified using currently available technology.

No MeSH data available.


(a–g) Represent the Husimi Q function ( with αQ = x + iy the arbitrary complex number and  the mechanical phonon state) of SCS at the different times t = 0, 9, 17, 28, 39, 47, 56. The upper and lower panel represent the non-dissipative case (κ = 0) and dissipative case (κ = 0.02), respectively. The other parameters are the same as the Fig. 2(a).
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f3: (a–g) Represent the Husimi Q function ( with αQ = x + iy the arbitrary complex number and the mechanical phonon state) of SCS at the different times t = 0, 9, 17, 28, 39, 47, 56. The upper and lower panel represent the non-dissipative case (κ = 0) and dissipative case (κ = 0.02), respectively. The other parameters are the same as the Fig. 2(a).

Mentions: To visualize the time evolution of the mechanical phonon state, we firstly calculate the phase-space quasiprobability distribution using the Husimi Q function4950 spanned by the dimensionless field quadratures Re(αQ) and Im(αQ). The Husimi Q function is defined as with αQ = x + iy the arbitrary complex number and the mechanical phonon state. In Fig. 3, we plot the Husimi Q function of DMR phonon state at different times as t = 0, 9, 17, 28, 39, 47, 56, which correspond to the extreme time point of the exponent R(t) (G2 = 1.5) in the first period in Fig. 2(a). In the upper panel of Fig. 3 (the non-dissipative case with κ = 0), one can find that the DMR is initially prepared in the vacuum state, then gradually changed into the SCS, and finally evolve back into the vacuum state. In the presence of dissipation effect, i.e., κ = 0.02, as shown in the lower panel of the Fig. 3, the SCS can also be obtained with high-fidelity because the dissipation effect brings slight influence.


Generation of macroscopic Schr ö dinger cat state in diamond mechanical resonator
(a–g) Represent the Husimi Q function ( with αQ = x + iy the arbitrary complex number and  the mechanical phonon state) of SCS at the different times t = 0, 9, 17, 28, 39, 47, 56. The upper and lower panel represent the non-dissipative case (κ = 0) and dissipative case (κ = 0.02), respectively. The other parameters are the same as the Fig. 2(a).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5120327&req=5

f3: (a–g) Represent the Husimi Q function ( with αQ = x + iy the arbitrary complex number and the mechanical phonon state) of SCS at the different times t = 0, 9, 17, 28, 39, 47, 56. The upper and lower panel represent the non-dissipative case (κ = 0) and dissipative case (κ = 0.02), respectively. The other parameters are the same as the Fig. 2(a).
Mentions: To visualize the time evolution of the mechanical phonon state, we firstly calculate the phase-space quasiprobability distribution using the Husimi Q function4950 spanned by the dimensionless field quadratures Re(αQ) and Im(αQ). The Husimi Q function is defined as with αQ = x + iy the arbitrary complex number and the mechanical phonon state. In Fig. 3, we plot the Husimi Q function of DMR phonon state at different times as t = 0, 9, 17, 28, 39, 47, 56, which correspond to the extreme time point of the exponent R(t) (G2 = 1.5) in the first period in Fig. 2(a). In the upper panel of Fig. 3 (the non-dissipative case with κ = 0), one can find that the DMR is initially prepared in the vacuum state, then gradually changed into the SCS, and finally evolve back into the vacuum state. In the presence of dissipation effect, i.e., κ = 0.02, as shown in the lower panel of the Fig. 3, the SCS can also be obtained with high-fidelity because the dissipation effect brings slight influence.

View Article: PubMed Central - PubMed

ABSTRACT

We propose a scheme to generate macroscopic Schrödinger cat state (SCS) in diamond mechanical resonator (DMR) via the dynamical strain-mediated coupling mechanism. In our model, the direct coupling between the nitrogen-vacancy (NV) center and lattice strain field enables coherent spin–phonon interactions in the quantum regime. Based on a cyclic Δ-type transition structure of the NV center constructed by combining the quantized mechanical strain field and a pair of external microwave fields, the populations of the different energy levels can be selectively transferred by controlling microwave fields, and the SCS can be created by adjusting the controllable parameters of the system. Furthermore, we demonstrate the nonclassicality of the mechanical SCS both in non-dissipative case and dissipative case. The experimental feasibility and challenge are justified using currently available technology.

No MeSH data available.