京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第22474号 / 工博第4735号 / 新制||工||1740(附属図書館) / 京都大学大学院工学研究科化学工学専攻 / (主査)教授 山本 量一, 教授 渡辺 宏, 准教授 谷口 貴志 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

Finite structure splitting (FSS) is a bottleneck for quantum dot (QD) based solid state entangled photon pair generator (EPPG) for Quantum Key Distribution (QKD) application. In QD, entangle photon pairs are generated through a cascaded emission process—biexciton to exciton to ground state. The FSS of the excitonic state destroys the entanglement of the photon pairs, hence needs to be eliminated. FSS can be tuned by engineering the crystal growth direction, varying dot shape or size, changing the material composition and/or applying external strain. Numerical investigation of FSS and designing of realistically-sized QD based EPPG demands multiscale-multiphysics many-body simulation efforts. To this end, in this work, we report the coupling of full configuration integration (FCI) method with the atomistic empirical tight-binding (TB) models (10-band sp3s* and 20-band sp3d5s*) to calculate the excitonic energetics and FSS in recently reported multimillion-atom III-V dot-in-nanowire structures. The core of the computational framework comprises two parts: i) NEMO3D, which, using the TB models, can compute single-electron energetics of multimillion-atom structures, and ii) An FCI kernel, which computes the many-particle energetics and wavefunctions using the single-electron outputs as derived from NEMO3D. NEMO3D is a broad platform that handles geometry construction, calculation of strain distributions and built-in potential fields, solving the Schrodinger’s equation and computing optical matrix elements. Three output files from NEMO3D are of particular importance for the FCI toolkit: i) Single-electron energy values, ii) Eigen functions, and iii) Relaxed atom positions of the device. FCI calculates the Coulomb and Exchange matrix elements associated with multi-particles and forms the many-body Hamiltonian. The excitonic states (electron-hole pair) are calculated by solving the many-body Hamiltonian and the value of FSS, if exists, is determined. Recently, nitride-based nanostructured devices have been found to be a promising candidate for single and entangled multi-photon emitter applications. The principal goal of this dissertation is to facilitate the numerical design of InGaN/GaN based dot-in-nanowire EPPG units. To this end, a number of kernels in NEMO3D and FCI packages were augmented. The geometry constructor in NEMO3D was extended for two non-polar planes of wurtzite crystal: m-plane and a-plane. It is found that these two non-polar planes, with much smaller built-in piezoelectric fields, exhibit improved optical transition probabilities than the polar c-plane counterpart. As test cases, light-emitters in dot-in-wire and multiple quantum well (MQW) configurations were simulated and compared in all three (c-plane, m-plane, and a-plane) growth directions. TCAD toolkits are used to simulate the terminal optical characteristics such as internal quantum efficiency (IQE) and spontaneous emission rate. Hexagonal-base truncated-pyramid shaped QD was also added to the NEMO3D geometry constructor as pyramid shaped dots offer directionality and better extraction efficiency of emitted photons, which is important for single or entangled photon generators. The FCI simulator was modified for calculating the excitonic states that involve an electron-hole pair. As for EPPG design, four device structures are considered: i) Disk-in-nanowire on the polar c-plane, ii) pyramid shaped dot-in-nanowire on polar c-plane, iii) Disk-in-nanowire on non-polar m-plane, and iv) Disk-in-nanowire on non-polar a-plane. Simulations are done for different disk thicknesses, material compositions, quantum dot shapes and crystal directions. Results and in-depth analysis are presented on the effects of these design parameters on many-body energetics e.g. binding energy, excitonic bandgaps and FSS. The derivation of excitonic transition probability from single-electron momentum matrix is discussed in detail. Finally, an EPPG design is proposed employing the entangled polarization profiles from two excitonic emissions.

No description available.

Ultra High Molecular Weight Polyethylene (UHMw-PE) is an engineering polymer that is widely used in demanding applications because of its un-paralleled properties such as high abrasion resistance, high-modulus and high-strength tapes and fibres, biaxial films etc. In common practice, to achieve the uniaxial and the biaxial products, the solution processing route is adopted to reduce the number of entanglements per chain, such as found in Dyneema(R) from DSM(R). Another elegant route to reduce the number of entanglements to ease solid-state processing is through controlled polymerisation using a single-site catalytic system. In this theses, how different polymerisation condition, such as temperature and time control molecular weight and the resultant entangled state in synthesised disentangled UHMw-PE is addressed. Linear dynamic melt rheology is used to follow entanglement formation in an initially disentangled melt. With the help of rheological studies, heterogeneity in the distribution of entanglements along the chain length and the crystal morphology produced during polymerisation is considered. For the understanding of influence of large shear flow on melt dynamics large amplitude oscillatory shear (LAOS) is used and the non-linear viscoelastic regime is explored. A remarkable feature of overshoot in loss (viscous) modulus with increasing deformation (strain) in UHMw-PE melt in the LAOS is observed. This observation is characteristic of colloidal systems. The role of entanglement density in the amorphous region of the synthesised disentangled UHMw-PE (semi-crystalline polymers) on the melting and crystallisation is presented. To understand the effect of topological differences on melting behaviour, nascent entangled, nascent disentangled and melt-crystallised samples have been used. The role of superheating on the melting process is also addressed. Preliminary results on characteristic melting time of a crystal using TM-DSC are also presented.

Estudamos o emaranhamento quântico de estados puros emaranhados tri-partidos quando uma das partes é um qubit. Apresentamos um método para encontrar as decomposições do estado tri-partido mais simples do que sucessivas decomposições de Schmidt. Esse método permite encontrar uma grande quantidade de diferentes famílias de estados emaranhados tri-partidos. Essas famílias são classificadas de acordo com dimensão dos blocos de Jordan de uma matriz obtida do estado emaranhado. Além disso, também demonstramos que estados pertencentes a famílias distintas não podem ser convertidos um no outro por operações locais estocásticas com comunicação clássica (SLOCC). No caso de dois estados pertencentes à mesma família, obtemos condições necessárias e su cientes para sabermos se estes podem ser convertidos um no outro por SLOCC. No caso de serão, também podemos obter a operação do tipo SLOCC que realiza a conversão. / We study the quantum entanglement of tripartite pure states when one of the parties is a qubit. We present a method to find the decompositions of tripartite entangled states which are simpler than two successive Schmidt decompositions. We will find many distinct families of entangled states with distinct decompositions. These families are classified according to the dimensions of the Jordan blocks of a matrix obtained from the entangled state. Furthermore, we show that states belonging to distinct families can not be converted into each other by stochastic local operations and classical communication (SLOCC). In case of two states belonging to the same family, we nd necessary and su?cient conditions to convert one state to the other. We can also find the SLOCC which realizes this conversion.

We analyze a coincidence Stern-Gerlach measurement often discussed in connection with the derivation and illustration of Bell's theorem. The treatment is based on our recent analysis of the original Stern-Gerlach experiment (PCCP, 14, 1677‐1684 (2012)), where it is concluded that it is necessary to include a spin relaxation process to account for the experimental observations. We consider two limiting cases of a coincidence measurement using both an analytical and a numerical description. In on limit relaxation effects are neglected. In this case the correlation between the two spins present in the initial state is conserved during the passage through the magnets. However, at exit the z coordinate along the magnetic field gradient is randomly distributed between the two extreme values. In the other limit T2 relaxation is assumed to be fast relative to the time of flight through the magnet. In this case the z coordinate takes one of two possible values as observed in the original Stern‐Gerlach experiment. Due to the presence of a relaxation process involving transfer of angular momentum between particle and magnet the initially entangled spin state changes character leading to a loss of correlation between the two spins. In the original derivations of Bell's theorem based on a coincidence Stern‐Gerlach setup one assumes both a perfect correlation between the spins and only two possible values for the z‐coordinate on exit. According to the present calculations one can satisfy either of these conditions but not both simultaneously.

In this thesis, we demonstrate the creation and characterization of multiparticle entangled states of neutral atoms with the help of a high finesse cavity. Our experimental setup consists of a fibre-based high finesse cavity above the surface of an atom chip. It allows us to prepare an ensemble of 87Rb atoms with well-defined atom number. The atoms are trapped in a single antinode of an intracavity standing wave dipole trap and are therefore all equally coupled to the cavity mode. We present a scheme based on a collective, quantum non-destructive (QND) measurement and conditional evolution to create symmetric entangled states and to analyze them at the single-particle level by directly measuring their Husimi Q function. We use this method to create and characterize W states of up to 41 atoms. From the tomography curve of the Q function, we reconstruct the symmetric part of the density matrix via different reconstruction techniques and obtain a fidelity of 0.42. Furthermore, we have devised an entanglement criterion which only relies on comparing two populations of the density matrix. We use it to infer the degree of multiparticle entanglement in our experimentally created states and find that the state with highest fidelity contains at least 13 entangled particles. In addition, we show preliminary results on experiments to count the atom number inside a cavity in the QND regime and to create entangled states via quantum Zeno dynamics.

La génération d'objets quantiques intriqués est inévitable pour l'exploration de l'information quantique dans les systèmes de la matière condensée. Alors que des expériences de non-localité on été menées, avec succès, à partir de photons intriqués, il n'a pas encore été possible de réaliser leurs analogues électroniques dans les matériaux solides, où les fermions sont les objets quantiques à intriqués. Les paires de Cooper dans les supraconducteurs sont des candidats prometteurs pour réaliser une source d'électrons intriqués. L'intrication non-local est la clé de voûte et elle peut être induite par le processus de réflexion d'Andreev croisée. Ce phénomène sépare une paire de Cooper en deux électrons, dont les spins sont intriqués, dans deux conducteurs séparés spatialement.J'ai étudié un système composé de trois électrodes supraconductrices (Al) connectées par un métal normal (Cu) formant ainsi une tri-jonction Josephson. De nouvelles structures, dans cette nano-structure hybride, apparaissent dans la conductance différentielle lorsque deux terminaux sont polarisées par des potentiels opposés l'un par rapport à l'autre. Ces anomalies correspondent à des phénomène de transport de paires de Cooper corrélées et sont consistantes avec la prédictiondes Quartets formés par la séparation simultanée de deux paires de Cooper d'un réservoir supraconducteur vers les deux autres électrodes.Dans le but d'expérimenter la cohérence quantique de ces structures, j'ai irradié la tri-jonction à l'aide d'une micro-onde de 14 GHz à très basse température. Des résonances Shapiro apparaissent lorsque la fréquence de la micro-onde est équivalente à la fréquence des courants AC Josephson générés en appliquant des tensions à travers la tri-jonction.Mon étude révèle que les anomalies de type Quartet présentent aussi des résonances Shapiro. Ce résultat démontre que le phénomène de Quartet est un mécanisme quantique cohérent confirmant la séparation cohérente de deux pairs de Cooper à longue portée. / A fundamental route for the exploration of solid state based quantum information is the generation of EPR pairs of quantum-entangled objects. Although experimental tests of nonlocality have been successfully conducted with pair of entangled photons, it has not yet been possible to realize an electronic analogue of it in the solid state, where fermions are the natural quantum objects. However, Cooper pairs in superconductors are known as suitable sources of entanglement. Non-local entanglement is the key and Crossed Andreev reflection process can provide it by converting a Cooper pair into two spin-entangled electrons located in separate conductors.I investigated a device where three superconducting (Al) electrodes are connected by a sub-micron normal metal (Cu) composing a Josephson three-junction. In this hybrid nanostructure, new sub-gap features appear in the differential conductance when two terminals are biased at opposite voltage with respect to the third one. These features correspond to correlated motion of Cooper pairs and are consistent with the prediction of Quartets formed by the simultaneous splitting of two Cooper pairs from one of the superconducting reservoirs and the emission of two phase correlated Cooper pairs in the two other electrodes. In order to probe the quantum coherence of such features, I irradiated the device with a microwave at 14 GHz down to very low temperature (100 mK). Well known Shapiros resonances (both integer and half-integer) are observed when the microwave frequency matches the frequency of the AC Josephson currents generated by applying differents voltages across the three-junction.My study reveals that the quartet feature also shows Shapiro-like resonances. This result demonstrates that the quartet feature is a true quantum mechanism and confirms the quartet scenario that implies the coherent splitting of two Cooper pairs.

Estudamos o emaranhamento quântico de estados puros emaranhados tri-partidos quando uma das partes é um qubit. Apresentamos um método para encontrar as decomposições do estado tri-partido mais simples do que sucessivas decomposições de Schmidt. Esse método permite encontrar uma grande quantidade de diferentes famílias de estados emaranhados tri-partidos. Essas famílias são classificadas de acordo com dimensão dos blocos de Jordan de uma matriz obtida do estado emaranhado. Além disso, também demonstramos que estados pertencentes a famílias distintas não podem ser convertidos um no outro por operações locais estocásticas com comunicação clássica (SLOCC). No caso de dois estados pertencentes à mesma família, obtemos condições necessárias e su cientes para sabermos se estes podem ser convertidos um no outro por SLOCC. No caso de serão, também podemos obter a operação do tipo SLOCC que realiza a conversão. / We study the quantum entanglement of tripartite pure states when one of the parties is a qubit. We present a method to find the decompositions of tripartite entangled states which are simpler than two successive Schmidt decompositions. We will find many distinct families of entangled states with distinct decompositions. These families are classified according to the dimensions of the Jordan blocks of a matrix obtained from the entangled state. Furthermore, we show that states belonging to distinct families can not be converted into each other by stochastic local operations and classical communication (SLOCC). In case of two states belonging to the same family, we nd necessary and su?cient conditions to convert one state to the other. We can also find the SLOCC which realizes this conversion.

Submitted by Fabio Sobreira Campos da Costa (fabio.sobreira@ufpe.br) on 2017-02-13T13:44:40Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) dissertação final.pdf: 3576056 bytes, checksum: 4650485627f1eb13bb131bcbf6ab588a (MD5) / Made available in DSpace on 2017-02-13T13:44:40Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) dissertação final.pdf: 3576056 bytes, checksum: 4650485627f1eb13bb131bcbf6ab588a (MD5) Previous issue date: 2014-03-28 / CAPES / A criação de estados emaranhados em polarização permite testar experimentalmente questões fundamentais da mecânica quântica, tais como os argumentos de EPR sobre a incompletezadateoriaquântica,atravésdadesigualdadeCHSH.Alémdisso,essesestados emaranhados, têm potenciais de aplicações como, por exemplo, em computação quântica e criptografia quântica. Neste trabalho, se estuda uma fonte muito eficiente para a produção de estados de fótons emaranhados em polarização baseada em um interferômetro de tipo Sagnac. Estes fótons correlacionados são criados em um cristal não linear PPKTP mediante o processo de conversão paramétrica descendente (PDC) tipo-II, quando o cristal é bombeado por pulsos de fentossegundos. Verificando as correlações das medidas de polarização produzidas por esta fonte, observamos fortes violações das desigualdades de Bell para estados de polarização, isto é, verificamos a desigualdade CHSH. / Creation of polarization entangled states allows experimentally to test fundamental properties of quantum mechanics, such as the EPR argument about the incompleteness of the quantum theory, through CHSH inequality; in addition to potential applications as in quantum computing and quantum cryptography. This work studies a very efficient sourceofphotonentangledstatesofpolarizationbasedonaSagnacinterferometer. These photons are created from a nonlinear PPKTP crystal pumped by fentosecond pulses by theprocessofparametricdown-conversion(PDC)type-IIpumpedbyfemtosecondpulses. Analysing correlations of polarization measurements produced by this source we observed strong violations of Bell inequalities for the polarization states, i.e, CHSH inequality.