Schmidt modes and entanglement

Федоров, М. В.; Miklin, Nikolai

doi:10.1080/00107514.2013.878554

Cited by 67 publications

(76 citation statements)

References 41 publications

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“…We note that some of the paired modes are degenerate in certain symmetric configurations (e.g. collinear spectrally-degenerate emission) in the sense that both the signal and idler photons are emitted into the same spatio-spectral mode [57]. However, we do not consider explicitly such modes here.…”

Section: Theory Of a Spatio-spectral Twin Beammentioning

confidence: 99%

Coherence and dimensionality of intense spatiospectral twin beams

Peřina

2015

Phys. Rev. A

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Spatio-spectral properties of twin beams at their transition from low to high intensities are analyzed in parametric and paraxial approximations using the decomposition into paired spatial and spectral modes. Intensity auto-and cross-correlation functions are determined and compared in the spectral and temporal domains as well as the transverse wave-vector and crystal output planes. Whereas the spectral, temporal and transverse wave-vector coherence increases with the increasing pump intensity, coherence in the crystal output plane is practically independent on the pump intensity owing to the mode structure in this plane. The corresponding auto-and cross-correlation functions approach each other for larger pump intensities. Entanglement dimensionality of a twin beam is determined comparing several approaches.

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Section: Theory Of a Spatio-spectral Twin Beammentioning

confidence: 99%

Coherence and dimensionality of intense spatiospectral twin beams

Peřina

2015

Phys. Rev. A

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“…Since the "half-cycle" kernels are equal to each other, the kernel G(t, t ′ ) is symmetrical with respect to permutation of the arguments, so it is representable as the Schmidt mode expansion [10,34]:…”

Section: Structure Of the Spopo Radiationmentioning

confidence: 99%

Noiseless signal shaping and cluster-state generation with a quantum memory cell

et al. 2017

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In this article, we employ multimode radiation of a synchronously pumped optical parametric oscillator (SPOPO) to build a cluster state through a conversion on the base of quantum memory cell. We demonstrate that by choosing an appropriate driving field we can ensure the effective writing of the only one supermode from the entire set of the SPOPO squeezed supermodes. Further, by changing the driving field profile at the readout, we convert the time profile of the retrieved signal while maintaining its quantum state. We demonstrate the possibilities of using the presented scheme by the example of creating a four-mode linear cluster state of light.

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“…It quantifies the number of paired modes found in a twin beam. We note that formula (18) reduces to the usual Schmidt number [19] for weak twin beams. We also note that several quantifiers of entanglement dimensionality have been compared in [13,38,39].…”

Section: The Model Of Ultra-intense Twin Beams Involving Pump Depmentioning

confidence: 99%

“…We decompose the twin beam together with the pump beam into multiple triplets of individual spatio-spectral modes defined in the signal, idler and pump beams. We adopt the signal and idler spatio-spectral Schmidt modes defined for weak twin beams [17][18][19][20] following the approach elaborated in [13]. The presented theory represents a generalization of the theory given in [13] that assumes un-depleted pump beams.…”

Section: Introductionmentioning

confidence: 99%

Spatial, spectral, and temporal coherence of ultraintense twin beams

Peřina

2016

Phys. Rev. A

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Using the model of parametric interaction based on the spatio-spectral Schmidt modes and generalized parametric approximation, we analyze coherence and mode structure of ultra-intense twin beams generated in the regime with pump depletion. We show that the increase of spatial and spectral coherence with the increasing pump power observed for moderate powers is replaced by the decrease for the pump powers at which pump depletion occurs. This behavior of coherence is opposed to that exhibited by the number of spatio-spectral modes effectively constituting the twin beam. The conditions for maximal coherence are analyzed considering pump-beam parameters (spectral width, transverse radius). The existence of additional coherence maxima occurring at even higher pump powers is predicted and explained by the oscillatory evolution of the modes' populations.

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Schmidt modes and entanglement

Cited by 67 publications

References 41 publications

Coherence and dimensionality of intense spatiospectral twin beams

Coherence and dimensionality of intense spatiospectral twin beams

Noiseless signal shaping and cluster-state generation with a quantum memory cell

Spatial, spectral, and temporal coherence of ultraintense twin beams

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