New theory of diffusive and coherent nature of optical wave via a quantum walk
We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogeneous matrices provides the coherent property of wave mechanics. Using the recent result of a localization phenomenon in a...
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| Veröffentlicht in: | Annals of physics 2017-08, Vol.383, p.164-180 |
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| container_end_page | 180 |
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| container_title | Annals of physics |
| container_volume | 383 |
| creator | Ide, Yusuke Konno, Norio Matsutani, Shigeki Mitsuhashi, Hideo |
| description | We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogeneous matrices provides the coherent property of wave mechanics. Using the recent result of a localization phenomenon in a one-dimensional quantum walk (Konno, 2010), we numerically show that the randomized localized matrices suppress the coherence and give diffusive nature.
•A relation between diffusive and coherent nature of wave is obtained.•A rigorous decoherent process is observed in quantum walk.•Quantum walk for a point-process is numerically considered.•Transfer matrix theory with S-matrix in optics is connected with quantum walk. |
| doi_str_mv | 10.1016/j.aop.2017.05.009 |
| format | Article |
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•A relation between diffusive and coherent nature of wave is obtained.•A rigorous decoherent process is observed in quantum walk.•Quantum walk for a point-process is numerically considered.•Transfer matrix theory with S-matrix in optics is connected with quantum walk.</abstract><cop>United States</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2017.05.009</doi><tpages>17</tpages></addata></record> |
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| ispartof | Annals of physics, 2017-08, Vol.383, p.164-180 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Discrete time quantum walk Kubelka–Munk theory ONE-DIMENSIONAL CALCULATIONS Optical wave QUANTUM FIELD THEORY QUANTUM OPTICS Quantum walk S MATRIX |
| title | New theory of diffusive and coherent nature of optical wave via a quantum walk |
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