Academic literature on the topic '1D quantum gas'

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Journal articles on the topic "1D quantum gas"

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Guan, Xiwen. "Critical phenomena in one dimension from a Bethe ansatz perspective." International Journal of Modern Physics B 28, no. 24 (August 5, 2014): 1430015. http://dx.doi.org/10.1142/s0217979214300151.

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This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb–Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.
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Laburthe Tolra, B., K. M. O'Hara, J. H. Huckans, M. Anderlini, J. V. Porto, S. L. Rolston, and W. D. Phillips. "Study of a 1D interacting quantum Bose gas." Journal de Physique IV (Proceedings) 116 (October 2004): 227–32. http://dx.doi.org/10.1051/jp4:2004116010.

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Sato, Jun, Rina Kanamoto, Eriko Kaminishi, and Tetsuo Deguchi. "Quantum states of dark solitons in the 1D Bose gas." New Journal of Physics 18, no. 7 (July 11, 2016): 075008. http://dx.doi.org/10.1088/1367-2630/18/7/075008.

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Guan, Xi-Wen, and Feng He. "Professor Chen Ping Yang’s early significant contributions to mathematical physics." International Journal of Modern Physics B 33, no. 06 (March 10, 2019): 1930002. http://dx.doi.org/10.1142/s0217979219300020.

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In the 60s Professor Chen Ping Yang with Professor Chen Ning Yang published several seminal papers on the study of Bethe’s hypothesis for various problems of physics. The works on the lattice gas model, critical behavior in liquid–gas transition, the one-dimensional (1D) Heisenberg spin chain, and the thermodynamics of 1D delta-function interacting bosons are significantly important and influential in the fields of mathematical physics and statistical mechanics. In particular, the work on the 1D Heisenberg spin chain led to subsequent developments in many problems using Bethe’s hypothesis. The method which Yang and Yang proposed to treat the thermodynamics of the 1D system of bosons with a delta-function interaction leads to significant applications in a wide range of problems in quantum statistical mechanics. The Yang and Yang thermodynamics has found beautiful experimental verifications in recent years.
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Kaminishi, Eriko, Jun Sato, and Tetsuo Deguchi. "Recurrence Time in the Quantum Dynamics of the 1D Bose Gas." Journal of the Physical Society of Japan 84, no. 6 (June 15, 2015): 064002. http://dx.doi.org/10.7566/jpsj.84.064002.

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Kinjo, Kayo, Eriko Kaminishi, Takashi Mori, Jun Sato, Rina Kanamoto, and Tetsuo Deguchi. "Quantum Dark Solitons in the 1D Bose Gas: From Single to Double Dark-Solitons." Universe 8, no. 1 (December 21, 2021): 2. http://dx.doi.org/10.3390/universe8010002.

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We study quantum double dark-solitons, which give pairs of notches in the density profiles, by constructing corresponding quantum states in the Lieb–Liniger model for the one-dimensional Bose gas. Here, we expect that the Gross–Pitaevskii (GP) equation should play a central role in the long distance mean-field behavior of the 1D Bose gas. We first introduce novel quantum states of a single dark soliton with a nonzero winding number. We show them by exactly evaluating not only the density profile but also the profiles of the square amplitude and phase of the matrix element of the field operator between the N-particle and (N−1)-particle states. For elliptic double dark-solitons, the density and phase profiles of the corresponding states almost perfectly agree with those of the classical solutions, respectively, in the weak coupling regime. We then show that the scheme of the mean-field product state is quite effective for the quantum states of double dark solitons. Assigning the ideal Gaussian weights to a sum of the excited states with two particle-hole excitations, we obtain double dark-solitons of distinct narrow notches with different depths. We suggest that the mean-field product state should be well approximated by the ideal Gaussian weighted sum of the low excited states with a pair of particle-hole excitations. The results of double dark-solitons should be fundamental and useful for constructing quantum multiple dark-solitons.
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Marino, E. C., and Flávio I. Takakura. "Massive Quantum Vortex Excitations in a Pure Gauge Abelian Theory in 2 + 1D." International Journal of Modern Physics A 12, no. 23 (September 20, 1997): 4155–65. http://dx.doi.org/10.1142/s0217751x97002279.

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We introduce and study a pure gauge Abelian theory in 2 + 1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three-dimensional gas of point particles with a logarithmic interaction, in the grand-canonical ensemble. We claim that this theory is the 2 + 1D analog of the sine–Gordon, the massive vortices being the counterparts of sine–Gordon solitons. We show that a symmetry breaking, order parameter, similar to the vacuum expectation value of a Higgs field does exist.
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Bouneb, I., and F. Kerrour. "Nanometric Modelization of Gas Structure, Multidimensional using COMSOL Software." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 4 (August 1, 2018): 2014. http://dx.doi.org/10.11591/ijece.v8i4.pp2014-2020.

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In structures with GaAs, which are the structures most used, because of their physical and electronic proprieties, nevertheless seems a compromise between the increase of doping and reduced mobility. The use of quantum hetero structures can overcome this limitation by creating a 2D carrier gas. Using the COMSOL software this work present three models: the first model computes the electronic states for the heterojunction AlGaAs/GaAs in 1D dimension, the second model computes the electronic states for the heterojunction AlGaAs/GaAs but in 2D dimension (nanowire) and the third model we permitted the study of this hetero junction (steep) wich inevitably involves the resolution of the system of equations Schrödinger-Poisson due to quantum effects that occur at the interface. The validity of this model can be effectuated with a comparison of our results with the result of different models developed in the literature of the related work, from this point of view the validity of our model is confirmed.
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Pan, Jun, Hao Shen, and Sanjay Mathur. "One-Dimensional SnO2Nanostructures: Synthesis and Applications." Journal of Nanotechnology 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/917320.

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Nanoscale semiconducting materials such as quantum dots (0-dimensional) and one-dimensional (1D) structures, like nanowires, nanobelts, and nanotubes, have gained tremendous attention within the past decade. Among the variety of 1D nanostructures, tin oxide (SnO2) semiconducting nanostructures are particularly interesting because of their promising applications in optoelectronic and electronic devices due to both good conductivity and transparence in the visible region. This article provides a comprehensive review of the recent research activities that focus on the rational synthesis and unique applications of 1D SnO2nanostructures and their optical and electrical properties. We begin with the rational design and synthesis of 1D SnO2nanostructures, such as nanotubes, nanowires, nanobelts, and some heterogeneous nanostructures, and then highlight a range of applications (e.g., gas sensor, lithium-ion batteries, and nanophotonics) associated with them. Finally, the review is concluded with some perspectives with respect to future research on 1D SnO2nanostructures.
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Kaminishi, Eriko, Jun Sato, and Tetsuo Deguchi. "Exact quantum dynamics of yrast states in the finite 1D Bose gas." Journal of Physics: Conference Series 497 (April 9, 2014): 012030. http://dx.doi.org/10.1088/1742-6596/497/1/012030.

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Dissertations / Theses on the topic "1D quantum gas"

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Lee, Robert. "Application of quantum Monte Carlo methods to excitonic and electronic systems." Thesis, University of Cambridge, 2011. https://www.repository.cam.ac.uk/handle/1810/239379.

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The work in this thesis is concerned with the application and development of quantum Monte Carlo (QMC) methods. We begin by proposing a technique to maximise the efficiency of the extrapolation of DMC results to zero time step, finding that a relative time step ratio of 1:4 is optimal. We discuss the post-processing of QMC data and the calculation of accurate error bars by reblocking, setting out criteria for the choice of block length. We then quantify the effects of uncertainty in the correlation length on estimated error bars, finding that the frequency of outliers is significantly increased for short runs. We then report QMC calculations of biexciton binding energies in bilayer systems. We have also calculated exciton-exciton interaction potentials, and radial distribution functions for electrons and holes in bound biexcitons. We find a larger region of biexciton stability than other recent work [C. Schindler and R. Zimmermann, Phys. Rev. B 78,045313 (2008)]. We also find that individual excitons retain their identity in bound biexcitons for large layer separations. Finally, we give details of a QMC study of the one-dimensional homogeneous electrongas (1D HEG). We present calculations of the energy, pair correlation function, static structure factor (SSF), and momentum density (MD) for the 1D HEG. We observe peaks in the SSF at even-integer-multiples of the Fermi wave vector, which grow as the coupling is increased. Our MD results show an increase in the effective Fermi wave vector as the interaction strength is raised in the paramagnetic harmonic wire; this appears to be a result of the vanishing difference between the wave functions of the paramagnetic and ferromagnetic systems. We have extracted the Luttinger liquid exponent from our MDs by fitting to data around the Fermi wave vector, finding good agreement between the exponents of the ferromagnetic infinitely-thin and harmonic wires.
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Dubois, Léa. "Dynamique hors d'équilibre d'un gaz de Bosons unidimensionnel étudiée via la mesure spatialement résolue de la distribution des quasiparticules." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASP066.

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Cette thèse présente des études théoriques et expérimentales sur la caractérisation de gaz de bosons unidimensionnels (1D). Pour produire de tels systèmes, un gaz de Rubidium est placé dans un piège magnétique très confinant transversalement, produit par une puce atomique.Contrairement aux systèmes thermodynamiques atteignant un équilibre caractérisé par quelques variables d'état (pression, température), ce système relaxe dans un état plus complexe décrit par une fonction appelée distribution de rapidités. Cette grandeur est accessible expérimentalement : la distribution de rapidités est la distribution asymptotique des vitesses des atomes après une expansion de ces derniers dans le guide 1D. Cette fonction peut aussi être extraite en étudiant la dynamique de l'expansion unidimensionnelle grâce à l'hydrodynamique généralisée, une théorie émergente suscitant beaucoup d'attentions, spécialement développée pour l'étude de ces systèmes.Une première étude détaillée dans ce manuscrit a été de caractériser les expansions longitudinales unidimensionnelles des gaz de bosons 1D. L'évolution des profils de densité ainsi que des fluctuations de phase ont été analysées et sont en accord avec les prédictions théoriques.Un deuxième projet a été la mise en place d'un outil de sélection spatial permettant à la fois de produire des situations hors équilibre ainsi qu'à sonder localement la distribution de rapidités. Ces mesures ont été réalisées sur des gaz à l'équilibre et hors-équilibre. Les mesures sont notamment cohérentes avec les prédictions de la théorie hydrodynamique généralisée
This manuscript describes theoretical and experimental studies on characterizing one dimensionnal (1D) bose gas. To produce such a system, a Rubidium gas est trapped in a very transversally confining magnetic potential produced by an atom chip. Contrary to thermodynamic systems reaching an equilibrium described by several macroscopic parameters (pressure, temperature), this system relaxes towards a more complex state described by a function called the rapidity distribution. This function can be accessed experimentally : the rapidity distribution corresponds to the asymptotic atomic velocity distribution after a 1D expansion of the atoms. This quantity can also be extracted by studying the 1D expansion with the Generalized Hydrodynamic, an emerging theory with a lot of interest recently, specially conceived for studying these systems.A first study detailed in this manuscript consisted in characterizing 1D expansion of the gas. The evolution of the density profile and the evolution of phase fluctuations were analyzed and found to be compatible with theoretical predictions. A second project involved adding a spatial selection tool to produce non-equilibrium situations and to locally probe the rapidity distribution of the system. These measurements were performed on initial equilibrium and out of equilibrium situations. They are well understood with the predictions of Generalized Hydrodynamics
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Utz, Yannic. "The Effect of In-Chain Impurities on 1D Antiferromagnets." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-217959.

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The thesis is devoted to the study of in-chain impurities in spin 1/2 antiferromagnetic Heisenberg chains (S=1/2 aHC's)---a model which accompanies the research on magnetism since the early days of quantum theory and which is one of the few integrable spin systems. With respect to impurities it is special insofar as an impurity perturbs the system strongly due to its topology: there is no way around the defect. To what extend the one-dimensional picture stays a good basis for the description of real materials even if the chains are disturbed by in-chain impurities is an interesting question which is addressed in this work. For this purpose, Cu Nuclear Magnetic Resonance (NMR) measurements on the cuprate spin chain compounds SrCuO2 and Sr2CuO3 intentionally doped with nickel (Ni), zinc (Zn) and palladium (Pd) are presented. These materials are well known to be among the best realizations of the S=1/2 aHC model and their large exchange coupling constants allow the investigation of the low-energy dynamics within experimentally easily feasible temperatures. NMR provides the unique ability to study the static and dynamic magnetic properties of the spin chains locally which is important since randomly placed impurities break the translational invariance. Because copper is the magnetically active ion in those materials and the copper nuclear spin is most directly coupled to its electron spin, the NMR measurements have been performed on the copper site. The measurements show in all cases that there are changes in the results of these measurements as compared to the pure compounds which indicate the opening of gaps in the excitation spectra of the spin chains and the emergence of oscillations of the local susceptibility close to the impurities. These experimental observations are compared to theoretical predictions to clarify if and to what extend the already proposed model for these doped systems---the finite spin chain---is suitable to predict the behavior of real materials. Thereby, each impurity shows peculiarities. While Zn and Pd are know to be spin 0 impurities, it is not clear if Ni carries spin 1. To shed some light on this issue is another scope of this work. For Zn impurities, there are indications that they avoid to occupy copper sites, other than in the layered cuprate compounds. Also this matter is considered.
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Jiménez, Martín Daniel. "Comportamiento bosónico de pares de fermiones con interacción de contacto 1D." Bachelor's thesis, 2019. http://hdl.handle.net/11086/15290.

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Tesis (Lic. en Física)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2019.
Para determinar cuán bosónico es el comportamiento de pares de fermiones distinguibles interactuantes con interacción de contacto en un sistema unidimensional continuo se propusieron dos modelos: partículas libres y partículas en una trampa armónica. Para cada uno de ellos se determinó de manera analítica el estado fundamental de un sólo par mediante la resolución de la ecuación de Schrödinguer independiente del tiempo. A partir de dicho estado, se extrajo información acerca del comportamiento bosónico del par interactuante en función de la intensidad de la interacción. Se estudió el régimen atractivo para ambos modelos y también el régimen repulsivo para partículas en una trampa armónica. En el régimen atractivo, se verificó para ambos modelos que en el límite de interacción muy fuerte los pares de fermiones se comportan como bosones ideales. Esta situación corresponde a una separación característica entre las partículas que componen el par muy pequeña comparada con las dimensiones del sistema. Por su parte, para partículas con interacción repulsiva en una trampa armónica se verificó que aún en el límite de interacción muy fuerte los pares de fermiones noanzan a tener un comportamiento bosónico.
To determine how bosonic is the behavior of pairs formed by distinguishable fermions with contact interaction in a continuos one-dimensional system we proposed two models: free particles and particles in a harmonic trap. For each one of them, we analytically determined the ground state of a single pair solving the independent time Schrödinguer equation. From this state, we extracted information about the bosonic behavior of the interacting pair in relation to the interaction strength. We studied the attractive regime for both models and also the repulsive regimen for particles in a harmonic trap. In the attractive regime, we verified for both models that in the strong interaction limit the pairs behave as ideal bosons. This situation corresponds to a characteristic separation between the particles of the pair very short compared with the dimensions of the system. For particles with repulsive interaction in a harmonic trap, we verify that even in the strong interaction regime the fermion pairs do not behave as bosons.
Fil: Jiménez, Martín Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
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ROSI, SARA. "Interacting Bosons in optical lattices: optimal control ground state production, entanglement characterization and 1D systems." Doctoral thesis, 2015. http://hdl.handle.net/2158/1004929.

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The work presented in this thesis concerns the study of quantum many-body physics by making use Bose-Einstein condensates loaded in optical lattices potentials. The first part describes the development of a new experimental strategy for the production of the degenerate atomic sample, the second part concerns the optimal control ground state production and the entanglement characterization on a systems of interacting Bosons across the superfluid - Mott insulator quantum phase transition, and the third part illustrates the study of the dynamical properties of an array of 1D gases performed via Bragg spectroscopy.
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Tsai, Ming-Wei, and 蔡明巍. "Split gate fabrication by electron beam lithography on GaAs/AlGaAs system for 1D quantum wire conductance." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/20258404414329790730.

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Utz, Yannic. "The Effect of In-Chain Impurities on 1D Antiferromagnets: An NMR Study on Doped Cuprate Spin Chains." Doctoral thesis, 2016. https://tud.qucosa.de/id/qucosa%3A30141.

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The thesis is devoted to the study of in-chain impurities in spin 1/2 antiferromagnetic Heisenberg chains (S=1/2 aHC's)---a model which accompanies the research on magnetism since the early days of quantum theory and which is one of the few integrable spin systems. With respect to impurities it is special insofar as an impurity perturbs the system strongly due to its topology: there is no way around the defect. To what extend the one-dimensional picture stays a good basis for the description of real materials even if the chains are disturbed by in-chain impurities is an interesting question which is addressed in this work. For this purpose, Cu Nuclear Magnetic Resonance (NMR) measurements on the cuprate spin chain compounds SrCuO2 and Sr2CuO3 intentionally doped with nickel (Ni), zinc (Zn) and palladium (Pd) are presented. These materials are well known to be among the best realizations of the S=1/2 aHC model and their large exchange coupling constants allow the investigation of the low-energy dynamics within experimentally easily feasible temperatures. NMR provides the unique ability to study the static and dynamic magnetic properties of the spin chains locally which is important since randomly placed impurities break the translational invariance. Because copper is the magnetically active ion in those materials and the copper nuclear spin is most directly coupled to its electron spin, the NMR measurements have been performed on the copper site. The measurements show in all cases that there are changes in the results of these measurements as compared to the pure compounds which indicate the opening of gaps in the excitation spectra of the spin chains and the emergence of oscillations of the local susceptibility close to the impurities. These experimental observations are compared to theoretical predictions to clarify if and to what extend the already proposed model for these doped systems---the finite spin chain---is suitable to predict the behavior of real materials. Thereby, each impurity shows peculiarities. While Zn and Pd are know to be spin 0 impurities, it is not clear if Ni carries spin 1. To shed some light on this issue is another scope of this work. For Zn impurities, there are indications that they avoid to occupy copper sites, other than in the layered cuprate compounds. Also this matter is considered.
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Book chapters on the topic "1D quantum gas"

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Matveev, K. A., and L. I. Glazman. "Scattering on an Impurity in a Weakly Interacting 1D Electron Gas." In Quantum Dynamics of Submicron Structures, 153–68. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0019-9_13.

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Bruus, Henrik, and Karsten Flensberg. "1D Electron Gases and Luttinger Liquids." In Many–Body Quantum Theory in Condensed Matter Physics, 347–75. Oxford University PressOxford, 2004. http://dx.doi.org/10.1093/oso/9780198566335.003.0019.

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Abstract The 1D interacting electron gas is very different from its higher dimensional counterparts. The main difference being the breakdown of Fermi liquid theory in 1D. In Chapter 15 we saw that the main achievement of the Fermi liquid theory is that it enables us to picture the elementary excitations in terms of quasi particles. As we shall see in this chapter, the quasi particle excitations are in 1D electron systems replaced by the Luttinger–Tomonaga excitations, a sort of density waves, having a completely different nature. The corresponding electron liquid is denoted the Luttinger liquid.
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Kelly, M. J. "The one-dimensional electron gas." In Low-Dimensional Semiconductors, 134–61. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198517818.003.0006.

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Abstract The role of 2D systems in elucidating details of quantum transport in semiconductors was a key theme of the previous chapter, which concluded with an investigation of the transition between three and two dimensions. Until recently, 1D systems have been the playground of the theorist; some of the most intractable problems in many-body physics admit analytical or transparent numerical solutions (Lieb and Mattis 1966). It has long been appreciated that an infinitesimal amount of disorder is sufficient to localize all electron states in one dimension (Mott and Twose 1961). Thouless’s ideas, described in Chapter 4, Section 4.3.2, were advanced on the basis of 1D arguments. Once the extent of the applications of Q2D systems had been appreciated (cf. Chapter 16), attempts were made to extend the technology to realize QlD systems and to investigate the Q2D-Q1D transition. It has been important to find ways to confine the Q2D electron gas spatially in one of the two in-plane directions; an increasing number of methods have been found. In this chapter, we mirror the previous one, and describe the wealth of phenomena in QlD systems, as investigated in the 1D electron gas (lDEG). In later chapters (11, 12, and 15) we consider other aspects of physics in QlD systems not considered here.
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Haldane, F. D. M. "‘Luttinger liquid theory’ of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas." In Bosonization, 170–94. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812812650_0017.

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Haldane, F. D. M. "‘Luttinger liquid theory’ of one-dimensional quantum fluids I: Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas." In Exactly Solvable Models of Strongly Correlated Electrons, 416–40. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812798268_0035.

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Chakraborty, Kunal, and Samrat Paul. "Effect of Intra-Band Tunneling on the Performance of Lead-Free Sn-Based Perovskite Solar Cell Using SCAPS-1D Simulator." In Advances in IT Standards and Standardization Research, 68–74. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-9795-8.ch006.

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This chapter presents the tunneling mechanism of electron and hole in the junction between absorbing layer and electron transport layer (ETL), which has an impact on the performance of devices in terms of quantum efficiency. In the present work, SCAPS-1D simulator is used to understand the effect of tunneling mechanism between the layers numerically. The most promising thin film-based lead-free Perovskite solar cells (PSCs) is the tin-based solar cell, which has tuneable band gap between 1.2 to 1.4 eV, and it can be used as both single junction and tandem structures.
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Shakeel, R. "Fundamental Concepts of Topological Insulators." In Materials Research Foundations, 1–20. Materials Research Forum LLC, 2024. http://dx.doi.org/10.21741/9781644902851-1.

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The notion of topological insulators was first introduced to explain the concept of Quantum Hall Effect. The Quantum Hall State (QHS) does not disrupt symmetries but showed fundamental properties (like quantized Hall conductivity, the number of conducting edge-mode) that are not affected by smooth changes in different material parameters and are not subject to change if the system goes through the quantum phase-transition. A topological insulator (TI) just like an ordinary insulator has a large energy gap that is separating the highest-filled electronic band from the lowest empty-band. However, a topological insulator's surface must have gapless electronic states which are protected by the time-reversal symmetry (TRS). Like QHS, having distinctive gapless chiral edge-states on the surface or the edge-states of the topological insulators (TIs) are topologically shielded and reveal conducting states having properties that are unlike any other known 1D and 2D electronic systems. Strong spin-orbit interactions under the conservation of time-reversal symmetry (TRS) are the driving force behind these substances. Moreover, Topological insulators (TIs) were revealed experimentally for the first time in 2007 by the consideration of the condensed-matter physics community which become fully focused on a novel category of materials. The 3D topological insulator's new qualities could result in some fascinating applications because they are very common semiconductors and their topological properties can withstand high temperatures. Hence, Topological insulators (TIs) are those materials that are electrically inert in bulk but can carry out electricity due to their topologically protected electronic edge-state as well as surface states.
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Conference papers on the topic "1D quantum gas"

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Sykes, A. G., D. M. Gangardt, M. J. Davis, and K. V. Kheruntsyan. "Non-Local Pair Correlations and Quasi-Crystalline Phases in a 1D Bose Gas." In Quantum-Atom Optics Downunder. Washington, D.C.: OSA, 2007. http://dx.doi.org/10.1364/qao.2007.qme17.

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Kheruntsyan, K. V., T. Jacqmin, J. Armijo, T. Berrada, and I. Bouchoule. "Sub-Poissonian fluctuations in a 1D Bose gas: from quantum quasi-condensate to the strongly interacting regime." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/iqec.2011.i291.

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Bielejec, E. "1D-1D tunneling between vertically coupled GaAs/AlGaAs quantum wires." In PHYSICS OF SEMICONDUCTORS: 27th International Conference on the Physics of Semiconductors - ICPS-27. AIP, 2005. http://dx.doi.org/10.1063/1.1994408.

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Schnell, J. Ph, J. P. Pocholle, E. Barbier, J. Raffy, A. Delboulbe, C. Fromont, J. P. Hirtz, and J. P. Huignard. "Investigation of a 1D GaAs-GaAIAs Multiple Quantum Wells Spatial Light Modulator." In Spatial Light Modulators and Applications. Washington, D.C.: Optica Publishing Group, 1988. http://dx.doi.org/10.1364/slma.1988.tha4.

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Semiconductors multiple quantum wells (MQW’s) are promising optical materials for their fast response speed, their tailorable optical properties and their technological compatibility with electronic circuits.
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Kim, S., H. Choi, M. Scherrer, K. Moselund, and C. W. Lee. "Robustness of the topological interface state in a 1D photonic crystal resonator with an air-gap." In 2021 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). IEEE, 2021. http://dx.doi.org/10.1109/cleo/europe-eqec52157.2021.9542096.

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Greene, B. I., J. F. Mueller, J. Orenstein, D. Rapkine, S. Schmitt-Rink, and M. Thakur. "Phonon-Mediated Optical Nonlinearities in Polydiacetylene." In Nonlinear Optical Properties of Materials. Washington, D.C.: Optica Publishing Group, 1988. http://dx.doi.org/10.1364/nlopm.1988.tuc1.

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Abstract:
Organic molecules and polymers have long been known to exhibit large values of the third-order susceptibility, χ(3). However, in spite of many investigations, the mechanisms governing the nonlinear optical response of these materials are not well understood. Recently, tremendous progress in two related areas has made this problem ripe for further examination. Intense study of polyacetylene and related materials has led to a more complete understanding of the ground state and elementary excitations of conjugated polymer chains,1 while studies of quasi-2D inorganic semiconductors, notably GaAs-AlGaAs multiple quantum well structures (MQWS), have highlighted the importance of reduced dimensionality for optical nonlinearity.2 In this work we have extended the experimental and theoretical approach recently applied in MQWS to quasi-1D polydiacetylene, with unusual and novel results.
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7

Chen, Yunfei, Deyu Li, Jennifer R. Lukes, and Zhonghua Ni. "Monte Carlo Simulation of Thermal Conductivities of Silicon Nanowires." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72377.

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Abstract:
One-dimensional (1D) materials such as various kinds of nanowires and nanotubes have attracted considerable attention due to their potential applications in electronic and energy conversion devices. The thermal transport phenomena in these nanowires and nanotubes could be significantly different from that in bulk material due to boundary scattering, phonon dispersion relation change, and quantum confinement. It is very important to understand the thermal transport phenomena in these materials so that we can apply them in the thermal design of microelectronic, photonic, and energy conversion devices. While intensive experimental efforts are being carried out to investigate the thermal transport in nanowires and nanotube, an accurate numerical prediction can help the understanding of phonon scattering mechanisms, which is of fundamental theoretical significance. A Monte Carlo simulation was developed and applied to investigate phonon transport in single crystalline Si nanowires. The Phonon-phonon Normal (N) and Umklapp (U) scattering processes were modeled with a genetic algorithm to satisfy both the energy and the momentum conservation. The scattering rates of N and U scattering processes were given from the first perturbation theory. Ballistic phonon transport was modeled with the code and the numerical results fit the theoretical prediction very well. The thermal conductivity of bulk Si was then simulated and good agreement was achieved with the experimental data. Si nanowire thermal conductivity was then studied and compared with some recent experimental results. In order to study the confinement effects on phonon transport in nanowires, two different phonon dispersions, one based on bulk Si and the other solved from the elastic wave theory for nanowires, were adopted in the simulation. The discrepancy from the simulations based on different phonon dispersions increases as the nanowire diameter decreases, which suggests that the confinement effect is significant when the nanowire diameter goes down to tens nanometer range. It was found that the U scattering probability engaged in Si nanowires was increased from that in bulk Si due to the decrease of the frequency gap between different modes and the reduced phonon group velocity. Simulation results suggest that the dispersion relation for nanowire solved from the elasticity theory should be used to evaluate nanowire thermal conductivity as the nanowire diameter reduced to tens nanometer.
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