Observation of detection-dependent multi-photon coherence times

Ra, Young-Sik; Tichy, Malte C.; Lim, Hyun‐Tae; Kwon, Oh‐Min; Mintert, Florian; Buchleitner, Andreas; Kim, Yoon-Ho

doi:10.1038/ncomms3451

Cited by 43 publications

(85 citation statements)

References 18 publications

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“…[45], however, these methods are not easily scalable, but force us to establish the transition probabilities anew for each particle number. As shown in Section II B below, the orthonormalization of the single-particle mode functions [5,[41][42][43] reliably yields the desired many-particle transition probability in a scalable way, but it comes with high computational costs, interpretational issues, and without any straightforward generalization to mixed initial singleparticle states. The complicated formulation aggravates any attempt to establish the actual computational complexity of the problem.…”

Section: Partially Distinguishable Particlesmentioning

confidence: 99%

“…Alternatively, the initial many-body state can be decomposed into a sum of orthogonal terms with well-defined degrees of distinguishability, such that any two particles will either perfectly interfere or not at all [5,[41][42][43][44]. Recently, an approach based on the density-matrix formalism was proposed [18,45], on which our calculations further below are based.…”

Section: Partially Distinguishable Particlesmentioning

confidence: 99%

“…Treatments of partially distinguishable particles formulated in the pure-state formalism [5,[37][38][39][40][41][42][43][44] are not ideally suited to answer these questions, as they suffer from computational costs and interpretational problems, exposed in Section II. The many-particle scattering probability has more manageable expressions within the recently introduced density-matrix approach [45], which naturally encompasses mixed initial states.…”

Section: Introductionmentioning

confidence: 99%

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Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

2015

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The collective interference of partially distinguishable bosons in multi-mode networks is studied via double-sided Feynman diagrams. The probability for many-body scattering events becomes a multi-dimensional tensor-permanent, which interpolates between distinguishable particles and identical bosons, and easily extends to mixed initial states. The permanent of the distinguishability matrix, composed of all mutual scalar products of the single-particle mode-functions, emerges as a natural measure for the degree of interference: It yields a bound on the difference between event probabilities for partially distinguishable bosons and the idealized species, and exactly quantifies the degree of bosonic bunching.

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Section: Partially Distinguishable Particlesmentioning

confidence: 99%

Section: Partially Distinguishable Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

2015

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“…Landscapes of correlations of unsuspected complexity, which are averaged out in standard photon detection or remain hidden when constraining to particular (fixed) sets of frequencies, are revealed as a result. The 2PS enlarges the set of tools in multidimensional spectroscopy [20][21][22][23][24] and reveals a new class of correlated emission that can be useful for quantum information processing [25,26], for enhancing squeezing [27], or for the study of the foundations of quantum mechanics [14,28]. When looking at the full picture put forward by the 2PS, strong correlations turn out to originate from photons which are not part of the spectral peaks.…”

Section: Introductionmentioning

confidence: 99%

Optimization of photon correlations by frequency filtering

2015

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“…where τ 0 = 425.1 ± 11.6 fs, which is determined by the duration of the pump pulse, the band-width of the interference filter and the properties of SPDC process in the BBO crystal, such as the thickness and phase matching condition [32,35]. When τ τ 0 , the two photon states was well temporally separated, K(τ ) → 0.…”

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confidence: 99%

Indistinguishability-induced classical-to-nonclassical transition of photon statistics

Shen

Wang

et al. 2017

Phys. Rev. A

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Photon statistics is one of the key properties of photon state for the study of quantum coherence and quantum information techniques. Here, we discussed the photon indistinguishability induced bunching effect which can significantly change photon statistics. Through the measurement of the second-order degree of coherence of a mixed photon state composed by a single-photon state and a weak coherent state, the statistical transition from a classical to nonclassical behavior was experimentally demonstrated by modifying the indistinguishability of the two photon states. The study will help to understand and control the photon statistics with a new manner. It also indicates that the photon indistinguishability is a key parameter for multi-partite quantum coherence.The photon statistics is a fundamental property of quantum optical field, which has been the basic of quantum coherence [1] and recently developed optical quantum information techniques [2][3][4][5]. It also has been well applied in quantum super-resolution microscopy [6,7] to achieve nanoscale resolution. Generally, the photon statistics is mainly determined by the number of the emitters and the process of the photon-matter interaction. For example, a single photon [8][9][10][11] can be generated from a single quantum emitter, which is a key photon source for quantum communication [12][13][14] and quantum computation [3,4]. Multi-photon state from nonlinear optical process has been applied to demonstrate quantum entanglement, quantum computation and high sensitivity quantum metrology [5,[15][16][17]. In experiment, the statistics of a photon state can be modified by postselection measurement [18], interaction with atoms [19][20][21] and interference with another photon state [22][23][24][25][26]. In the interference process, besides the phase modulation, the indistinguishability of photons is also a key parameter. In principle, the indistinguishability of photons will induce photon bunching and stimulated emission [25,26]. It has been the basic of multi-photon interference [27,28] for scalable optical quantum information techniques, lasers and stimulated emission depletion microscopy [29].Experimentally, the photon statistics can be evaluated with the Hanbury-Brown-Twiss (HBT) interferometer [30] to get the second-order degree of coherence [1], g (2) (0). The values of g (2) (0) demonstrate different photon statistical behaviors. A coherent light source [1] with a Poissonian distribution of photon numbers has a g (2) (0) of 1. For a classical optical field, g (2) (0) ≥ 1. For example, a thermal state shows g (2) (0) = 2, demonstrating a photon bunching behavior. While, with a photon anti-bunching behavior, g (2) (0) < 1, it is a typical * fwsun@ustc.edu.cn quantum optical field, such as a perfect single-photon source with g (2) (0) = 0. For a nonclassical N -photon number state, g (2) (0) = (N − 1)/N < 1. However, it is much more complicated for a photon state composing of different photon number states where the photon indistinguishability induced bunchin...

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Observation of detection-dependent multi-photon coherence times

Cited by 43 publications

References 18 publications

Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

Optimization of photon correlations by frequency filtering

Indistinguishability-induced classical-to-nonclassical transition of photon statistics

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