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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.


The negative volume δ of the Wigner function of SCS as a function of the time t.The red-dashed, blue-solid, and black-dashed lines represent the κ = 0, κ = 0.02, and κ = 0.05, respectively. The other parameters are the same as the Fig. 4.
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f5: The negative volume δ of the Wigner function of SCS as a function of the time t.The red-dashed, blue-solid, and black-dashed lines represent the κ = 0, κ = 0.02, and κ = 0.05, respectively. The other parameters are the same as the Fig. 4.

Mentions: is the Wigner function of state in the coherent state representation, which satisfies the normalization condition . It means that the larger the value of the negative volume δ is, the stronger the classicality of the mechanical phonon state is. In Fig. 5, the negative volume δ of Wigner function associated with the mechanical SCS is shown as a function of time t, where the non-zero value of δ verifies the nonclassicality of the SCS, and the dissipation effect decreases the nonclassicality of the SCS during most of the evolution process.


Generation of macroscopic Schr ö dinger cat state in diamond mechanical resonator
The negative volume δ of the Wigner function of SCS as a function of the time t.The red-dashed, blue-solid, and black-dashed lines represent the κ = 0, κ = 0.02, and κ = 0.05, respectively. The other parameters are the same as the Fig. 4.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f5: The negative volume δ of the Wigner function of SCS as a function of the time t.The red-dashed, blue-solid, and black-dashed lines represent the κ = 0, κ = 0.02, and κ = 0.05, respectively. The other parameters are the same as the Fig. 4.
Mentions: is the Wigner function of state in the coherent state representation, which satisfies the normalization condition . It means that the larger the value of the negative volume δ is, the stronger the classicality of the mechanical phonon state is. In Fig. 5, the negative volume δ of Wigner function associated with the mechanical SCS is shown as a function of time t, where the non-zero value of δ verifies the nonclassicality of the SCS, and the dissipation effect decreases the nonclassicality of the SCS during most of the evolution process.

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.