2017
DOI: 10.1364/josab.34.001536
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Thermal light as a mixture of sets of pulses: the quasi-1D example

Abstract: The relationship between thermal light and coherent pulses is of fundamental and practical interest. We now know that thermal light cannot be represented as a statistical mixture of single pulses. In this paper we ask whether or not thermal light can be represented as a statistical mixture of sets of pulses. We consider thermal light in a one-dimensional wave-guide, and find a convex decomposition into products of orthonormal coherent states of localized, nonmonochromatic modes.

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Cited by 3 publications
(5 citation statements)
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“…Hence, if the initial state is a laser pulse the system is blind to a possible finite collapse time. The same is true for chaotic light, as thermal states can be expanded on the set of coherent states 16 , and would therefore result in a separable state after the BS. This is a very important point for this experiment: the fact that no additional delay would be observed using lasers implies that such an effect would be undetectable in time of flight measurements, in particular in LIDAR systems 23 (even so called single-photon LIDAR systems work with Single Photon Detectors, but use laser pulses).…”
Section: Methodsmentioning
confidence: 91%
See 1 more Smart Citation
“…Hence, if the initial state is a laser pulse the system is blind to a possible finite collapse time. The same is true for chaotic light, as thermal states can be expanded on the set of coherent states 16 , and would therefore result in a separable state after the BS. This is a very important point for this experiment: the fact that no additional delay would be observed using lasers implies that such an effect would be undetectable in time of flight measurements, in particular in LIDAR systems 23 (even so called single-photon LIDAR systems work with Single Photon Detectors, but use laser pulses).…”
Section: Methodsmentioning
confidence: 91%
“…Should the input be a pulse of thermal light (as in the case of lamps or LEDs), then one has to take into account that a single mode of thermal light (see for instance ref. 16 ) can be described by the statistical operatorwhere 〈 n 〉 is given byand α are coherent states as in Eq. (2).…”
Section: Methodsmentioning
confidence: 99%
“…Thermal light cannot be represented as a statistical mixture of single pulses [62], but one can construct mixtures of single pulses that yield the same first-order temporal correlation function as thermal light [63]. In a onedimensional waveguide, thermal light was shown to decompose into a statistical mixture of sets of coherent pulses [64]. Here, we show that partiallyspectrally-coherent light can be decomposed into a tensor product of states prepared in spectral Schmidt modes, each with geometric photon-number statistics.…”
Section: Discussionmentioning
confidence: 99%
“…Since then, this problem has been revisited recurrently in different contexts either in physics or in engineering. Examples are abundant in condensed matter, statistical mechanics and quantum field theory among others [3][4][5][6].…”
mentioning
confidence: 99%
“…This result is not obvious since, unlike our model, the ZRP describes interacting particles. Yet, based on this identity, we use the result, proven for ZRP [22], that the long time probability P ∞ (η) solution of L [P ∞ (η)] = 0 in (5), is a product measure, namely,…”
mentioning
confidence: 99%