Relation between wave-particle duality and quantum uncertainty

Liu, Hongyu; Huang, Jiehui; Gao, Jiangrui; Zubairy, M. Suhail; Zhu, Shi‐Yao

doi:10.1103/physreva.85.022106

Cited by 28 publications

(22 citation statements)

References 27 publications

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“…In history, coherence (the ability to interfere) is usually treated to represent the wave property, and location (or localized position) is used to characterize the particle property. Such correspondences were first established quantitatively by Wootters and Zurek [3] and then followed by many others [4][5][6][7][8][9][10] to achieve a duality inequality, V 2 + D 2 1, between single quantum object wave interference visibility V and particle location distinguishability D. Extended studies have explored more specific physical properties, in addition to coherence and localized position, by establishing quantitative connections of the duality inequality with photon polarization [11][12][13][14][15][16], single-particle quantum states [17], and alternative coherence measures [18,19]. Recently, it has been demonstrated that the wave-particle property is connected to the self-entanglement between path and all remaining intrinsic properties (degrees of freedom) of the same single quantum object, leading to a threeway complementary identity [20,21], V 2 + D 2 + C 2 = 1, with C being the usual entanglement measure concurrence [22].…”

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confidence: 93%

Quantum duality: A source point of view

Qian

Agarwal

2020

Phys. Rev. Research

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Usual quantitative studies of quantum wave-particle duality employ Young's double-slit context and treat the slits approximately as ideal point sources, i.e., neglecting practical nonperfections such as slit finite width, roughness, etc. Here, we investigate the duality of a photon that is generated from genuine point sources, i.e., a pair of nonlocally entangled two-level atoms. This justifies a free-space exact spherical wave treatment. More importantly, it allows for a systematic quantitative analysis of the source effects on a quantum particle's duality property. Surprisingly, duality is found to be a conditional phenomenon depending on the photon's atomic source. It can be tuned maximum, medium, and even minimum (completely absent) by the atomic state purity through an exact Pythagorean duality source relation. Our analysis shows another way of investigating quantum duality by accounting how the single quantum object is created. The results can be tested in various practical physical systems.

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confidence: 93%

Quantum duality: A source point of view

Qian

Agarwal

2020

Phys. Rev. Research

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“…An indication of the importance of the WZ analysis is indicated by the interest it has attracted from numerous authors, who, based on the WZ analysis developed a particle-wave duality relation. The first such relation was introduced by Greenberger and Yasin (GY) [14], with further developments in references [48,49,51,52,53,54]. Among the latter are detailed derivations, the most notable of which are by Jaeger, Shimony and Vaidman (JSV) [48], and then by Englert [49].…”

Section: The Particle-wave Duality Relationmentioning

confidence: 99%

Critique of Quantum Optical Experimental Refutations of Bohr’s Principle of Complementarity, of the Wootters–Zurek Principle of Complementarity, and of the Particle–Wave Duality Relation

Kaloyerou

2015

Found Phys

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I argue that quantum optical experiments that purport to refute Bohr's principle of complementarity (BPC) fail in their aim. Some of these experiments try to refute complementarity by refuting the so called particlewave duality relations, which evolved from the Wootters-Zurek reformulation of BPC (WZPC). I therefore consider it important for my forgoing arguments to first recall the essential tenets of BPC, and to clearly separate BPC from WZPC, which I will argue is a direct contradiction of BPC. This leads to a need to consider the meaning of particle-wave duality relations and to question their fundamental status. I further argue (albeit, in opposition to BPC) that particle and wave complementary concepts are on a different footing than other pairs of complementary concepts.

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“…Such a quantitative narrative was later furnished through many investigations including the one by Greenberger et al [6][7][8][9]. Moreover, a comparison as well as quantitative link between complementarity and quantum uncertainty have also been debated recently [10,11].…”

Section: Introductionmentioning

confidence: 99%

Wheeler's delayed-choice experiment: A proposal for the Bragg-regime cavity-QED implementation

et al. 2015

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Wheeler's delayed-choice experiment highlights strange features of quantum theory such as pre-sensing of the experimental setup by the quantum object and the role of time. A recent proposal for such an experiment with an interferometer having a quantum beam splitter (QBS) [R. Ionicioiu and D. R. Terno, Phys. Rev. Lett. 107, 230406 (2011)] and its subsequent experimental implementations through photonics and NMR have produced results including the modification in the concept of complementarity. Here we propose a matter-wave Mach-Zehnder-Bragg cavity-QED interferometric setup with final QBS engineered through a cavity field that is taken initially in the superposition of zero and one photon. The setup operates through first-order off-resonant Bragg diffraction of the neutral atoms from the cavity fields with the matter wave's particle (wave) nature marked through the absence (presence) of a photon in the final cavity. The proposal, addressing the issue through atomic de Broglie waves, can be executed within the present cavity-QED experimental scenario with appreciable success probability and fidelity.

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Relation between wave-particle duality and quantum uncertainty

Cited by 28 publications

References 27 publications

Quantum duality: A source point of view

Quantum duality: A source point of view

Critique of Quantum Optical Experimental Refutations of Bohr’s Principle of Complementarity, of the Wootters–Zurek Principle of Complementarity, and of the Particle–Wave Duality Relation

Wheeler's delayed-choice experiment: A proposal for the Bragg-regime cavity-QED implementation

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