Photonic Counterparts of Cooper Pairs

Saraiva, André; Júnior, Filomeno S. de Aguiar; Souza, Reinaldo de Melo e; Pena, Arthur Patrocínio; Monken, C. H.; Santos, Marcelo F.; Koiller, Belita; Jório, Ado

doi:10.1103/physrevlett.119.193603

Cited by 33 publications

(23 citation statements)

References 22 publications

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“…Here we presented several results of

g_{S, a S}^{(2)} true(normalΔ t = 0 true)

, I SaS (Δ t = 0), and

{\overset{true¯}{I}}_{S a S} true(normalΔ t \neq 0 true)

in diamond, including the dependence on the energy Raman shift, scattering angle and excitation laser power. We hope these results will be useful for the overall understanding of the SaS correlation phenomenon, and for the search of materials with strong enough interaction energies to make this effect instrumental for applications …”

Section: Discussionmentioning

confidence: 92%

“…The

b_{k}^{normal†}

and

c_{q}^{normal†}

are the dimensionless creation operators for photon and phonons, respectively. The second term

H_{1} = \sum_{boldk, boldq} M_{q} true(c_{boldq}^{†} + c_{- q} true) b_{k} b_{boldk - boldq}^{normal†}

describes the light–matter interaction, where the

c_{q}^{normal†} b_{k} b_{boldk - boldq}^{normal†}

term generates scattered photons with the concomitant creation of a phonon (via the so‐called Stokes process), and the

c_{- boldq} b_{k} b_{boldk - boldq}^{normal†}

term generates scattered photons with the concomitant annihilation of a phonon (via the so‐called anti‐Stokes process) …”

Section: Methodsmentioning

confidence: 99%

“…Through a similarity transformation, it can be shown that the Hamiltonian H 1 is equivalent to a simpler one that in the limit of low number of phonons and weak coupling becomes

H_{1}^{'} = \sum_{k, k^{'}, boldq} \frac{M_{q}^{2} ν_{q}}{ℏ [{true(ω_{boldk} - ω_{k - q} true)}^{2} - ν_{q}^{2}]} b_{boldk - boldq}^{normal†} b_{k^{'} + boldq}^{normal†} b_{k} b_{k^{'}}

which is analogous to the BCS interaction Hamiltonian . The b operators here are bosons (photons) while in BCS they are fermions (electrons), in which case the existence of a Fermi sphere leads to a transition to the superconducting state at low enough temperatures.…”

Section: Methodsmentioning

confidence: 99%

“…When the energy shift in S or aS is tuned out of resonance with the vibrational level, the process takes place through the exchange of virtual phonons, generating the photonic Cooper pairs (PCPs), an analogous of the Cooper pairs responsible for electronic superconductivity . These results have been observed not only in diamond and graphene, but also in other transparent media, including liquids …”

Section: Introductionmentioning

confidence: 99%

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Physical Properties of Photonic Cooper Pairs Generated via Correlated Stokes–anti‐Stokes Raman Scattering

Júnior

Monken

Santos³

et al. 2019

Physica Status Solidi (b)

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The theoretical and experimental background for the creation of photonic Cooper pairs (PCPs) via correlated Stokes–anti‐Stokes Raman scattering is introduced, followed by experimental results on the second‐order photon time correlation g2(0) in diamond. It is shown how g2(0) changes with energy (Stokes–anti‐Stokes Raman shift), momentum (scattering angle) and excitation laser power. Both real and virtual phonon‐mediated scattering processes are addressed.

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“…Here we presented several results of

g_{S, a S}^{(2)} true(normalΔ t = 0 true)

, I SaS (Δ t = 0), and

{\overset{true¯}{I}}_{S a S} true(normalΔ t \neq 0 true)

Section: Discussionmentioning

confidence: 92%

“…The

b_{k}^{normal†}

and

c_{q}^{normal†}

are the dimensionless creation operators for photon and phonons, respectively. The second term

H_{1} = \sum_{boldk, boldq} M_{q} true(c_{boldq}^{†} + c_{- q} true) b_{k} b_{boldk - boldq}^{normal†}

describes the light–matter interaction, where the

c_{q}^{normal†} b_{k} b_{boldk - boldq}^{normal†}

term generates scattered photons with the concomitant creation of a phonon (via the so‐called Stokes process), and the

c_{- boldq} b_{k} b_{boldk - boldq}^{normal†}

term generates scattered photons with the concomitant annihilation of a phonon (via the so‐called anti‐Stokes process) …”

Section: Methodsmentioning

confidence: 99%

“…Through a similarity transformation, it can be shown that the Hamiltonian H 1 is equivalent to a simpler one that in the limit of low number of phonons and weak coupling becomes

H_{1}^{'} = \sum_{k, k^{'}, boldq} \frac{M_{q}^{2} ν_{q}}{ℏ [{true(ω_{boldk} - ω_{k - q} true)}^{2} - ν_{q}^{2}]} b_{boldk - boldq}^{normal†} b_{k^{'} + boldq}^{normal†} b_{k} b_{k^{'}}

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Physical Properties of Photonic Cooper Pairs Generated via Correlated Stokes–anti‐Stokes Raman Scattering

Júnior

Monken

Santos³

et al. 2019

Physica Status Solidi (b)

Self Cite

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show abstract

“…Theoretical understanding of light scattering is sufficiently advanced to enable determinations of the nature of interstellar dust [3], radar [4], studies of the structures of viruses [5] and the measurement of the salinity of seawater [6], to name but a few applications. There is much still to be explored, however, and the study of light scattering remains at the cutting edge of research [7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Linear Rayleigh and Raman scattering to the second order: Analytical results for light scattering by any scatterer of size k0d≲1/10

Cameron

Mackinnon

2018

Phys. Rev. A

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We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. The new terms promise a wealth of information about the shape of a scatterer and yet are insensitive to the scatterer's chirality. Our extended theory might prove especially useful for analysing samples in which the scatterers have non-trivial shapes but no chiral preference overall, as the zeroth-order theory offers little information about shape and the first-order correction is often quenched for such samples. A basic estimate suggests that our extended theory can be applied to a scatterer as large as k0d ∼ 1 10 with less than ∼ 0.1% error resulting from the neglect of the third-and higher-order corrections. Our results are entirely analytical.

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Nonclassicality in off-resonant Raman process

Thapliyal

Peřina

2019

Physics Letters A

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Raman process is used for generation of nonclassical states and subsequent applications due to its simplicity. In view of the experimental feasibility of the off-resonant Raman process at single photon level useful in long distance quantum communication and quantum memory, we perform here a detailed study of possibility of generation of nonclassical states under off-resonance conditions. Specifically, we have studied nonclassicality in the off-resonant Raman process with the help of a characteristic function written using more general solution than the conventional short-time solution under complete quantum treatment and established the significance of frequency detuning parameter in generation of nonclassical states. The obtained characteristic function remains Gaussian and reveals that larger values of frequency detuning parameters are favorable to induce nonclassicality in some cases. The single-and two-mode squeezing and antibunching as well as intermodal entanglement are reported in terms of experimentally accessible quantum noise fluctuations considering either phonon mode coherent or chaotic. Subsequently, the joint photon number and integrated intensity distributions are studied to analyze the performance of pair generation in Stokes-phonon and pump-phonon modes. The present study discusses the role of resonance conditions in generation of nonclassical states and establishes that experimentally controllable detuning parameter can be used to probe and enhance the generated nonclassicality. arXiv:1812.08264v1 [quant-ph]

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Photonic Counterparts of Cooper Pairs

Cited by 33 publications

References 22 publications

Physical Properties of Photonic Cooper Pairs Generated via Correlated Stokes–anti‐Stokes Raman Scattering

Physical Properties of Photonic Cooper Pairs Generated via Correlated Stokes–anti‐Stokes Raman Scattering

Linear Rayleigh and Raman scattering to the second order: Analytical results for light scattering by any scatterer of size k0d≲1/10

Nonclassicality in off-resonant Raman process

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