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This thesis develops novel numerical techniques for simulating quantum transport in the time domain and applies them to pertinent physical systems such as flying qubits in electronic interferometers and superconductor/semiconductor junctions hosting Majorana bound states (the key ingredient for topological quantum computing). In addition to exploring the rich new physics brought about by time dependence, the thesis also develops software that can be used to simulate nanoelectronic systems with arbitrary geometry and time dependence, offering a veritable toolbox for exploring this rapidly growing domain.
Book Synopsis Numerical Methods for Time-Resolved Quantum Nanoelectronics by : Joseph Weston
Download or read book Numerical Methods for Time-Resolved Quantum Nanoelectronics written by Joseph Weston and published by Springer. This book was released on 2017-08-21 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops novel numerical techniques for simulating quantum transport in the time domain and applies them to pertinent physical systems such as flying qubits in electronic interferometers and superconductor/semiconductor junctions hosting Majorana bound states (the key ingredient for topological quantum computing). In addition to exploring the rich new physics brought about by time dependence, the thesis also develops software that can be used to simulate nanoelectronic systems with arbitrary geometry and time dependence, offering a veritable toolbox for exploring this rapidly growing domain.
With the recent technical progress, single electron sources have moved fromtheory to the lab. Conceptually new types of experiments where one probesdirectly the internal quantum dynamics of the devices are within grasp. In thisthesis we develop the analytical and numerical tools for handling suchsituations. The simulations require appropriate spatial resolution for thesystems, and simulated times long enough so that one can probe their internalcharacteristic times. So far the standard theoretical approach used to treatsuch problems numerically--known as Keldysh or NEGF (Non Equilibrium Green'sFunctions) formalism--has not been very successful mainly because of aprohibitive computational cost. We propose a reformulation of the NEGFtechnique in terms of the electronic wave functions of the system in anenergy--time representation. The numerical algorithm we obtain scales nowlinearly with the simulated time and the volume of the system, and makessimulation of systems with 105-106 atoms/sites feasible. We leverage thistool to propose new intriguing effects and experiments. In particular weintroduce the concept of dynamical modification of interference pattern of aquantum system. For instance, we show that when raising a DC voltage V to anelectronic interferometer, the transient current responseoscillates as cos(eVt/ħ). We expect a wealth of new effects whennanoelectronic circuits are probed fast enough. The tools and conceptsdeveloped in this work shall play a key role in the analysis and proposal ofupcoming experiments.
Book Synopsis Emerging Concepts in Time-resolved Quantum Nanoelectronics by : Benoit Gaury
Download or read book Emerging Concepts in Time-resolved Quantum Nanoelectronics written by Benoit Gaury and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the recent technical progress, single electron sources have moved fromtheory to the lab. Conceptually new types of experiments where one probesdirectly the internal quantum dynamics of the devices are within grasp. In thisthesis we develop the analytical and numerical tools for handling suchsituations. The simulations require appropriate spatial resolution for thesystems, and simulated times long enough so that one can probe their internalcharacteristic times. So far the standard theoretical approach used to treatsuch problems numerically--known as Keldysh or NEGF (Non Equilibrium Green'sFunctions) formalism--has not been very successful mainly because of aprohibitive computational cost. We propose a reformulation of the NEGFtechnique in terms of the electronic wave functions of the system in anenergy--time representation. The numerical algorithm we obtain scales nowlinearly with the simulated time and the volume of the system, and makessimulation of systems with 105-106 atoms/sites feasible. We leverage thistool to propose new intriguing effects and experiments. In particular weintroduce the concept of dynamical modification of interference pattern of aquantum system. For instance, we show that when raising a DC voltage V to anelectronic interferometer, the transient current responseoscillates as cos(eVt/ħ). We expect a wealth of new effects whennanoelectronic circuits are probed fast enough. The tools and conceptsdeveloped in this work shall play a key role in the analysis and proposal ofupcoming experiments.
Quantum nanoelectronics is in a phase of great expansion, supported mainlyby the development of quantum computing. A high degree of precision isrequired to achieve current objectives, but on the other hand, the experi-ences are also more complex than ever. Nuremical tools seem necessary toachieve the required understanding while dealing with such complexity. Thetime scales involved are getting shorter and are getting closer to the intrinsicquantum time scales of the device, such as time of flight. Our group's pre-vious work has simulated time-dependent electron transport on a quantumscale. This thesis aims to improve the previous algorithms to obtain greateraccuracy and a better description of the systems by including the electronicenvironment. This work is divided into three main areas. First, we improveof numerical time-dependent simulation tools to take into account an elec-tronic environment in a self-consistent way. The new algorithm can achievearbitrary accuracy in a controlled way. Second, the new algorithm is used todemonstrate the existence of new physical phenomena. We study Josephsonjunctions in different environments to enhance the role of quasi-particles, theeffect of a very short pulse, and to study topological junction characteriza-tion techniques. Finally, various developments are being studied to integratethe phenomenon of decoherence and quantum noise into the simulations.
Book Synopsis Time-resolved Quantum Nanoelectronics in Electromagnetic Environments by : Benoît Rossignol
Download or read book Time-resolved Quantum Nanoelectronics in Electromagnetic Environments written by Benoît Rossignol and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum nanoelectronics is in a phase of great expansion, supported mainlyby the development of quantum computing. A high degree of precision isrequired to achieve current objectives, but on the other hand, the experi-ences are also more complex than ever. Nuremical tools seem necessary toachieve the required understanding while dealing with such complexity. Thetime scales involved are getting shorter and are getting closer to the intrinsicquantum time scales of the device, such as time of flight. Our group's pre-vious work has simulated time-dependent electron transport on a quantumscale. This thesis aims to improve the previous algorithms to obtain greateraccuracy and a better description of the systems by including the electronicenvironment. This work is divided into three main areas. First, we improveof numerical time-dependent simulation tools to take into account an elec-tronic environment in a self-consistent way. The new algorithm can achievearbitrary accuracy in a controlled way. Second, the new algorithm is used todemonstrate the existence of new physical phenomena. We study Josephsonjunctions in different environments to enhance the role of quasi-particles, theeffect of a very short pulse, and to study topological junction characteriza-tion techniques. Finally, various developments are being studied to integratethe phenomenon of decoherence and quantum noise into the simulations.
Book Synopsis Nanoelectronics: Physics, Materials and Devices by : Angsuman Sarkar
Download or read book Nanoelectronics: Physics, Materials and Devices written by Angsuman Sarkar and published by Elsevier. This book was released on 2023-01-03 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.528 pages Approx.528 pages
Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry’s problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.
Book Synopsis Coupled Multiscale Simulation and Optimization in Nanoelectronics by : Michael Günther
Download or read book Coupled Multiscale Simulation and Optimization in Nanoelectronics written by Michael Günther and published by Springer. This book was released on 2015-06-15 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, thermal, electromagnetic) and in a range of electrical engineering disciplines (logic, timing, power, crosstalk, signal integrity, system functionality). COMSON was a Marie Curie Research Training Network created to meet these new scientific and training challenges by (a) developing new descriptive models that take these mutual dependencies into account, (b) combining these models with existing circuit descriptions in new simulation strategies and (c) developing new optimization techniques that will accommodate new designs. The book presents the main project results in the fields of PDAE modeling and simulation, model order reduction techniques and optimization, based on merging the know-how of three major European semiconductor companies with the combined expertise of university groups specialized in developing suitable mathematical models, numerical schemes and e-learning facilities. In addition, a common Demonstrator Platform for testing mathematical methods and approaches was created to assess whether they are capable of addressing the industry’s problems, and to educate young researchers by providing hands-on experience with state-of-the-art problems.
The technological means now exists for approaching the fundamentallimiting scales of solid state electronics in which a single carrier can, in principle, represent a single bit in an information flow. In this light, the prospect of chemically, or biologically, engineered molccular-scale structures which might support information processing functions has enticed workers for many years. The one common factor in all suggested molecular switches, ranging from the experimentally feasible proton-tunneling structure, to natural systems such as the micro-tubule, is that each proposed structure deals with individual information carrying entities. Whereas this future molecular electronics faces enormous technical challenges, the same Iimit is already appearing in existing semiconducting quantum wires and small tunneling structures, both superconducting and normal meta! devices, in which the motion of a single eh arge through the tunneling barrier can produce a sufficient voltage change to cut-off further tunneling current. We may compare the above situation with today's Si microelectronics, where each bit is encoded as a very !arge number, not necessarily fixed, of electrons within acharge pulse. The associated reservoirs and sinks of charge carriers may be profitably tapped and manipulated to proviele macro-currents which can be readily amplified or curtailed. On the other band, modern semiconductor ULSI has progressed by adopting a linear scaling principle to the down-sizing of individual semiconductor devices.
Book Synopsis Granular Nanoelectronics by : David K. Ferry
Download or read book Granular Nanoelectronics written by David K. Ferry and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The technological means now exists for approaching the fundamentallimiting scales of solid state electronics in which a single carrier can, in principle, represent a single bit in an information flow. In this light, the prospect of chemically, or biologically, engineered molccular-scale structures which might support information processing functions has enticed workers for many years. The one common factor in all suggested molecular switches, ranging from the experimentally feasible proton-tunneling structure, to natural systems such as the micro-tubule, is that each proposed structure deals with individual information carrying entities. Whereas this future molecular electronics faces enormous technical challenges, the same Iimit is already appearing in existing semiconducting quantum wires and small tunneling structures, both superconducting and normal meta! devices, in which the motion of a single eh arge through the tunneling barrier can produce a sufficient voltage change to cut-off further tunneling current. We may compare the above situation with today's Si microelectronics, where each bit is encoded as a very !arge number, not necessarily fixed, of electrons within acharge pulse. The associated reservoirs and sinks of charge carriers may be profitably tapped and manipulated to proviele macro-currents which can be readily amplified or curtailed. On the other band, modern semiconductor ULSI has progressed by adopting a linear scaling principle to the down-sizing of individual semiconductor devices.
Providing cutting-edge research on nanoelectronics and photonic devices and its application in future integrated circuits, this state-of-the-art book tackles the challenges of the different detailed theoretical and analytical models of solving the problems of various nanodevices. The volume also explores from different angles the roles of material composition and choice of materials that now play the most critical role in determining outcomes of low-dimensional nanoelectronic devices. The applications of those findings are extremely beneficial for the computing and telecommunication industries. Beginning with a solid theoretical background for every chapter, this volume covers the hottest areas of present-day electronic engineering. The continuous miniaturization of devices, components, and systems requires corresponding cutting-edge theoretical analysis supported by simulated findings before actual fabrication. That purpose is given maximum focus in this volume, which has interdisciplinary appeal, making it a comprehensive technological volume that deals with underlying aspects of physics, materials, structures in nano-regime, and the corresponding end-product in the form of devices.
Book Synopsis Low-Dimensional Nanoelectronic Devices by : Angsuman Sarkar
Download or read book Low-Dimensional Nanoelectronic Devices written by Angsuman Sarkar and published by CRC Press. This book was released on 2022-10-27 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing cutting-edge research on nanoelectronics and photonic devices and its application in future integrated circuits, this state-of-the-art book tackles the challenges of the different detailed theoretical and analytical models of solving the problems of various nanodevices. The volume also explores from different angles the roles of material composition and choice of materials that now play the most critical role in determining outcomes of low-dimensional nanoelectronic devices. The applications of those findings are extremely beneficial for the computing and telecommunication industries. Beginning with a solid theoretical background for every chapter, this volume covers the hottest areas of present-day electronic engineering. The continuous miniaturization of devices, components, and systems requires corresponding cutting-edge theoretical analysis supported by simulated findings before actual fabrication. That purpose is given maximum focus in this volume, which has interdisciplinary appeal, making it a comprehensive technological volume that deals with underlying aspects of physics, materials, structures in nano-regime, and the corresponding end-product in the form of devices.
Nanoelectronics is changing the way the world communicates, and is transforming our daily lives. Continuing Moore’s law and miniaturization of low-power semiconductor chips with ever-increasing functionality have been relentlessly driving R&D of new devices, materials, and process capabilities to meet performance, power, and cost requirements. This book covers up-to-date advances in research and industry practices in nanometrology, critical for continuing technology scaling and product innovation. It holistically approaches the subject matter and addresses emerging and important topics in semiconductor R&D and manufacturing. It is a complete guide for metrology and diagnostic techniques essential for process technology, electronics packaging, and product development and debugging—a unique approach compared to other books. The authors are from academia, government labs, and industry and have vast experience and expertise in the topics presented. The book is intended for all those involved in IC manufacturing and nanoelectronics and for those studying nanoelectronics process and assembly technologies or working in device testing, characterization, and diagnostic techniques.
Book Synopsis Metrology and Diagnostic Techniques for Nanoelectronics by : Zhiyong Ma
Download or read book Metrology and Diagnostic Techniques for Nanoelectronics written by Zhiyong Ma and published by CRC Press. This book was released on 2017-03-27 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoelectronics is changing the way the world communicates, and is transforming our daily lives. Continuing Moore’s law and miniaturization of low-power semiconductor chips with ever-increasing functionality have been relentlessly driving R&D of new devices, materials, and process capabilities to meet performance, power, and cost requirements. This book covers up-to-date advances in research and industry practices in nanometrology, critical for continuing technology scaling and product innovation. It holistically approaches the subject matter and addresses emerging and important topics in semiconductor R&D and manufacturing. It is a complete guide for metrology and diagnostic techniques essential for process technology, electronics packaging, and product development and debugging—a unique approach compared to other books. The authors are from academia, government labs, and industry and have vast experience and expertise in the topics presented. The book is intended for all those involved in IC manufacturing and nanoelectronics and for those studying nanoelectronics process and assembly technologies or working in device testing, characterization, and diagnostic techniques.
Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrödinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different research fields. Bohmian mechanics, the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm, offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrödinger equation, can be developed from it.
Book Synopsis Applied Bohmian Mechanics by : Xavier Oriols Pladevall
Download or read book Applied Bohmian Mechanics written by Xavier Oriols Pladevall and published by CRC Press. This book was released on 2019-05-24 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrödinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different research fields. Bohmian mechanics, the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm, offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrödinger equation, can be developed from it.
Book Synopsis Emerging Nanoelectronics by : Adrian M. Ionescu
Download or read book Emerging Nanoelectronics written by Adrian M. Ionescu and published by . This book was released on 2005 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
