Relevant bibliographies by topics / Quantum waveguide theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Quantum waveguide theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Quantum waveguide theory"

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Marinescu, N., and M. Apostol. "Quantum-Mechanical Concepts in the Waveguides Theory." Zeitschrift für Naturforschung A 47, no. 9 (September 1, 1992): 935–40. http://dx.doi.org/10.1515/zna-1992-0902.

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Abstract A Klein-Gordon-type equation is derived for the wave propagation in an ideal, uniform waveguide, and its quantum-mechanical interpretation is given. The "cross-section" concept is introduced for a waveguide and the power transmission factor is obtained by using standard methods of quantum mechanics. The spinorial formalism is also employed for deriving the equivalent Dirac-type equation, and the perturbation theory is applied for computing the frequency shifts. The general applicability of the quantum-mechanical concepts to the waveguides theory is discussed
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Gravesen, Jens, and Morten Willatzen. "Quantum Eigenstates of Curved and Varying Cross-Sectional Waveguides." Applied Sciences 10, no. 20 (October 16, 2020): 7240. http://dx.doi.org/10.3390/app10207240.

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A simple one-dimensional differential equation in the centerline coordinate of an arbitrarily curved quantum waveguide with a varying cross section is derived using a combination of differential geometry and perturbation theory. The model can tackle curved quantum waveguides with a cross-sectional shape and dimensions that vary along the axis. The present analysis generalizes previous models that are restricted to either straight waveguides with a varying cross-section or curved waveguides, where the shape and dimensions of the cross section are fixed. We carry out full 2D wave simulations on a number of complex waveguide geometries and demonstrate excellent agreement with the eigenstates and energies obtained using our present 1D model. It is shown that the computational benefit in using the present 1D model to calculate both 2D and 3D wave solutions is significant and allows for the fast optimization of complex quantum waveguide design. The derived 1D model renders direct access as to how quantum waveguide eigenstates depend on varying cross-sectional dimensions, the waveguide curvature, and rotation of the cross-sectional frame. In particular, a gauge transformation reveals that the individual effects of curvature, thickness variation, and frame rotation correspond to separate terms in a geometric potential only. Generalization of the present formalism to electromagnetics and acoustics, accounting appropriately for the relevant boundary conditions, is anticipated.
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Xia, Jian-Bai. "Quantum waveguide theory for mesoscopic structures." Physical Review B 45, no. 7 (February 15, 1992): 3593–99. http://dx.doi.org/10.1103/physrevb.45.3593.

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Plamenevskii, B. A., A. S. Poretskii, and O. V. Sarafanov. "Mathematical scattering theory in quantum waveguides." Доклады Академии наук 489, no. 2 (November 20, 2019): 142–46. http://dx.doi.org/10.31857/s0869-56524892142-146.

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A waveguide occupies a domain G with several cylindrical ends. The waveguide is described by a nonstationary equation of the form it f = Af ,where A is a selfadjoint second order elliptic operator with variable coefficients (in particular, for A = -, where stands for the Laplace operator, the equation coincides with the Schrodinger equation). For the corresponding stationary problem with spectral parameter, we define continuous spectrum eigenfunctions and a scattering matrix. The limiting absorption principle provides expansion in the continuous spectrum eigenfunctions. We also calculate wave operators and prove their completeness. Then we define a scattering operator and describe its connections with the scattering matrix.
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Lin, Zhiping, Zhilin Hou, and Youyan Liu. "Quantum waveguide theory of a fractal structure." Physics Letters A 365, no. 3 (May 2007): 240–47. http://dx.doi.org/10.1016/j.physleta.2007.01.016.

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Jin, G. J., Z. D. Wang, A. Hu, and S. S. Jiang. "Quantum waveguide theory of serial stub structures." Journal of Applied Physics 85, no. 3 (February 1999): 1597–608. http://dx.doi.org/10.1063/1.369292.

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Fischer, Kevin A., Rahul Trivedi, Vinay Ramasesh, Irfan Siddiqi, and Jelena Vučković. "Scattering into one-dimensional waveguides from a coherently-driven quantum-optical system." Quantum 2 (May 28, 2018): 69. http://dx.doi.org/10.22331/q-2018-05-28-69.

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We develop a new computational tool and framework for characterizing the scattering of photons by energy-nonconserving Hamiltonians into unidirectional (chiral) waveguides, for example, with coherent pulsed excitation. The temporal waveguide modes are a natural basis for characterizing scattering in quantum optics, and afford a powerful technique based on a coarse discretization of time. This overcomes limitations imposed by singularities in the waveguide-system coupling. Moreover, the integrated discretized equations can be faithfully converted to a continuous-time result by taking the appropriate limit. This approach provides a complete solution to the scattered photon field in the waveguide, and can also be used to track system-waveguide entanglement during evolution. We further develop a direct connection between quantum measurement theory and evolution of the scattered field, demonstrating the correspondence between quantum trajectories and the scattered photon state. Our method is most applicable when the number of photons scattered is known to be small, i.e. for a single-photon or photon-pair source. We illustrate two examples: analytical solutions for short laser pulses scattering off a two-level system and numerically exact solutions for short laser pulses scattering off a spontaneous parametric downconversion (SPDC) or spontaneous four-wave mixing (SFWM) source. Finally, we note that our technique can easily be extended to systems with multiple ground states and generalized scattering problems with both finite photon number input and coherent state drive, potentially enhancing the understanding of, e.g., light-matter entanglement and photon phase gates.
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RYU, CHANG-MO, SAM YOUNG CHO, MINCHEOL SHIN, KYOUNG WAN PARK, SEONGJAE LEE, and EL-HANG LEE. "QUANTUM WAVEGUIDE THEORY FOR TRIPLY CONNECTED AHARONOV–BOHM RINGS." International Journal of Modern Physics B 10, no. 06 (March 15, 1996): 701–12. http://dx.doi.org/10.1142/s0217979296000295.

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Quantum interference effects for a mesoscopic loop with three leads are investigated by using a one-dimensional quantum waveguide theory. The transmission and reflection probabilities are analytically obtained in terms of the magnetic flux, arm length, and wave vector. Oscillation of the magnetoconductance is explicitly demonstrated. Magnetoconductance is found to be sharply peaked for certain localized values of flux and kl. In addition, it is noticed that the periodicity of the transmission probability with respect to kl depends more sensitively on the lead position, compared to the case of the two-lead loop.
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Liu, Duan-Yang, Jian-Bai Xia, and Yia-Chung Chang. "One-dimensional quantum waveguide theory of Rashba electrons." Journal of Applied Physics 106, no. 9 (November 2009): 093705. http://dx.doi.org/10.1063/1.3253752.

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Midgley, S., and J. B. Wang. "Time-dependent Quantum Waveguide Theory: A Study of Nano Ring Structures." Australian Journal of Physics 53, no. 1 (2000): 77. http://dx.doi.org/10.1071/ph99043.

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As electronic circuits get progressingly smaller to the nanometre scale, the quantum wave nature of the electrons starts to play a dominant role. It is thus possible for the devices to operate by controlling the phase of the quantum electron waves rather than the electron density as in present-day devices. This paper presents a highly accurate numerical method to treat quantum waveguides with arbitrarily complex geometry. Based on this model, a variety of quantum effects can be studied and quantified.
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Dissertations / Theses on the topic "Quantum waveguide theory"

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Midgley, Stuart. "Quantum waveguide theory." University of Western Australia. School of Physics, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0036.

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The study of nano-electronic devices is fundamental to the advancement of the semiconductor industry. As electronic devices become increasingly smaller, they will eventually move into a regime where the classical nature of the electrons no longer applies. As the quantum nature of the electrons becomes increasingly important, classical or semiclassical theories and methods will no longer serve their purpose. For example, the simplest non-classical effect that will occur is the tunnelling of electrons through the potential barriers that form wires and transistors. This results in an increase in noise and a reduction in the device?s ability to function correctly. Other quantum effects include coulomb blockade, resonant tunnelling, interference and diffraction, coulomb drag, resonant blockade and the list goes on. This thesis develops both a theoretical model and computational method to allow nanoelectronic devices to be studied in detail. Through the use of computer code and an appropriate model description, potential problems and new novel devices may be identified and studied. The model is as accurate to the physical realisation of the devices as possible to allow direct comparison with experimental outcomes. Using simple geometric shapes of varying potential heights, simple devices are readily accessible: quantum wires; quantum transistors; resonant cavities; and coupled quantum wires. Such devices will form the building blocks of future complex devices and thus need to be fully understood. Results obtained studying the connection of a quantum wire with its surroundings demonstrate non-intuitive behaviour and the importance of device geometry to electrical characteristics. The application of magnetic fields to various nano-devices produced a range of interesting phenomenon with promising novel applications. The magnetic field can be used to alter the phase of the electron, modifying the interaction between the electronic potential and the transport electrons. This thesis studies in detail the Aharonov-Bohm oscillation and impurity characterisation in quantum wires. By studying various devices considerable information can be added to the knowledge base of nano-electronic devices and provide a basis to further research. The computational algorithms developed in this thesis are highly accurate, numerically efficient and unconditionally stable, which can also be used to study many other physical phenomena in the quantum world. As an example, the computational algorithms were applied to positron-hydrogen scattering with the results indicating positronium formation.
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Na, Kyungsun. "Quantum transport in an electron waveguide /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Ong, Beng Seong. "Spectral problems of optical waveguides and quantum graphs." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4352.

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In this dissertation, we consider some spectral problems of optical waveguide and quantum graph theories. We study spectral problems that arise when considerating optical waveguides in photonic band-gap (PBG) materials. Specifically, we address the issue of the existence of modes guided by linear defects in photonic crystals. Such modes can be created for frequencies in the spectral gaps of the bulk material and thus are evanescent in the bulk (i.e., confined to the guide). In the quantum graph part we prove the validity of the limiting absorption principle for finite graphs with infinite leads attached. In particular, this leads to the absence of a singular continuous spectrum. Another problem in quantum graph theory that we consider involves opening gaps in the spectrum of a quantum graph by replacing each vertex of the original graph with a finite graph. We show that such "decorations" can be used to create spectral gaps.
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Ting, Chu Ong. "Suppression of radiation damping in electromagnetic waveguide, signature of quantum decoherence in the field bath." Thesis, 2003. http://wwwlib.umi.com/cr/utexas/fullcit?p3116206.

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Henderson, Kevin Christopher. "Experiments with a Bose-Einstein condensate in a quasi-1D magnetic waveguide." Thesis, 2006. http://hdl.handle.net/2152/2722.

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Thompson, Clinton Edward. "Quantum physics inspired optical effects in evanescently coupled waveguides." Thesis, 2014. http://hdl.handle.net/1805/6161.

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Indiana University-Purdue University Indianapolis (IUPUI)
The tight-binding model that has been used for many years in condensed matter physics, due to its analytic and numerical tractability, has recently been used to describe light propagating through an array of evanescently coupled waveguides. This dissertation presents analytic and numerical simulation results of light propagating in a waveguide array. The first result presented is that photonic transport can be achieved in an array where the propagation constant is linearly increasing across the array. For an input at the center waveguide, the breathing modes of the system are observed, while for a phase displaced, asymmetric input, phase-controlled photonic transport is predicted. For an array with a waveguide-dependent, parity-symmetric coupling constant, the wave packet dynamics are predicted to be tunable. In addition to modifying the propagation constant, the coupling between waveguides can also be modified, and the quantum correlations are sensitive to the form of the tunneling function. In addition to modifying the waveguide array parameters in a structured manner, they can be randomized as to mimic the insertion of impurities during the fabrication process. When the refractive indices are randomized and real, the amount of light that localizes to the initial waveguide is found to be dependent on the initial waveguide when the waveguide coupling is non-uniform. In addition, when the variance of the refractive indices is small, light localizes in the initial waveguide as well as the parity-symmetric waveguide. In addition to real valued disorder, complex valued disorder can be introduced into the array through the imaginary component of the refractive index. It is shown that the two-particle correlation function is qualitatively similar to the case when the waveguide coupling is real and random, as both cases preserve the symmetry of the eigenvalues. Lastly, different input fields have been used to investigate the quantum statistical aspects of Anderson localization. It is found that the fluctuations in the output intensity are enhanced and the entropy of the system is reduced when disorder is present in the waveguides.
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Bowden, Bradley. "Design theory, materials selection, and fabrication of hollow core waveguides for infrared to THz radiation." 2007. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.15790.

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Book chapters on the topic "Quantum waveguide theory"

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Koshiba, Masanori. "Quantum Well Structures." In Optical Waveguide Theory by the Finite Element Method, 247–65. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-1634-3_10.

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Zakowicz, Wladyslaw, and A. Blędowski. "Spontaneous Emission by Atoms near a Dielectric Waveguide." In Quantum Field Theory Under the Influence of External Conditions, 267. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-663-01204-7_50.

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Haus, Hermann A. "Quantum Theory of Waveguides and Resonators." In Electromagnetic Noise and Quantum Optical Measurements, 197–240. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04190-1_7.

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Xia, Jian-Bai, and Duan-Yang Liu. "Two-Dimensional Quantum Waveguide Theory." In Quantum Waveguide in Microcircuits, edited by Wei-Dong Sheng, 301–15. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781315364773-13.

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Xia, Jian-Bai, and Duan-Yang Liu. "One‐Dimensional Quantum Waveguide Theory." In Quantum Waveguide in Microcircuits, edited by Wei-Dong Sheng, 285–300. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781315364773-12.

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Xia, Jian-Bai, and Duan-Yang Liu. "Two‐Dimensional Quantum Waveguide Theory of Rashba Electrons." In Quantum Waveguide in Microcircuits, edited by Wei-Dong Sheng, 367–81. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781315364773-17.

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Xia, Jian-Bai, and Duan-Yang Liu. "One‐Dimensional Quantum Waveguide Theory of a Rashba EIectron [1]." In Quantum Waveguide in Microcircuits, edited by Wei-Dong Sheng, 317–36. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781315364773-14.

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Xia, Jian-Bai, and Duan-Yang Liu. "1D Quantum Waveguide Theory of Rashba Electrons in Curved Circuits." In Quantum Waveguide in Microcircuits, edited by Wei-Dong Sheng, 337–53. Jenny Stanford Publishing, 2017. http://dx.doi.org/10.1201/9781315364773-15.

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"Chapter 22: Motion of a Particle in a Waveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped Object." In Quantum Theory of Tunneling, 584–610. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814525022_0022.

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Bernard, Alice, Jean-Michel Gérard, Ivan Favero, and Giuseppe Leo. "Widely Tunable Quantum-Well Laser: OPO Diode Around 2 μm Based on a Coupled Waveguide Heterostructure." In Nonlinear Optics - Novel Results in Theory and Applications. IntechOpen, 2019. http://dx.doi.org/10.5772/intechopen.80517.

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Conference papers on the topic "Quantum waveguide theory"

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Khrennikov, Andrei, Böorje Nilsson, Sven Nordebo, and Igor Volovich. "On the quantization of the electromagnetic field of a layered dielectric waveguide." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773140.

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R. Broderick, Neil G., Max A. Lohe, Timothy Lee, and Shahraam Afshar V. "Analytic Theory of Two Wave Interactions in a waveguide with a χ^(3)nonlinearity." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/iqec.2011.i366.

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Civalleri, Pier Paolo, Marco Gilli, and Michele Bonnin. "The spatial Cauchy problem for a dissipative infinite quantum waveguide supporting a single propagating mode." In 2013 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2013. http://dx.doi.org/10.1109/ecctd.2013.6662282.

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Hutchings, D. C. "Theory of ultrafast nonlinear refraction in semiconductor heterostructure waveguides." In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.238107.

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Mork, J., F. Ohman, M. van der Poel, Per Lunnemann Hansen, Torben Roland Nielsen, P. Kaer Nielsen, H. Thyrrestrup Nielsen, and K. Yvind. "Slow light in semiconductor waveguides: Theory and experiment." In 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference. IEEE, 2007. http://dx.doi.org/10.1109/cleoe-iqec.2007.4386121.

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Ishiwatari, T., A. Khrennikov, B. Nilsson, I. V. Volovich, Börje Nilsson, Louis Fishman, Anders Karlsson, and Sven Nordebo. "Quantum field theory and distance effects for polarization correlations in waveguides." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 3rd Conference on Mathematical Modeling of Wave Phenomena, 20th Nordic Conference on Radio Science and Communications. AIP, 2009. http://dx.doi.org/10.1063/1.3117105.

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Longhi, S., D. Janner, M. Marangom, and P. Laporta. "Quantum mechanics in periodically curved optical waveguides." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.mc25.

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Ziolkowski, Andrzej, and Ewa Weinert-Rączka. "Screening solitons in photorefractive multiple quantum well planar waveguide." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/nlgw.2005.wd7.

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Ziolkowski, Andrzej, and Ewa Weinert-Rączka. "Dark solitary waves in photorefractive multiple quantum well planar waveguide." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.mc47.

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Weinert-Rączka, Ewa, and Marek Wichtowski. "Mode Coupling by Photorefractive Grating in Multiple Quantum Well Slab Waveguide." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2002. http://dx.doi.org/10.1364/nlgw.2002.nlmd13.

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