Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 33 for “"Quantum many-body systems"”.
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Quasiparticles in Quantum Many-Body Systems
… with the remarkable experiment of the fractional quantum Hall effect and are drawing a lot of recognition. Realization of these phases on lattice systems and study of the anyon quasiparticles there are important and interesting avenue to research in unraveling new physics, which can not be found …
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Algorithms for Gibbs states of quantum many-body systems
We consider the many-body problem in quantum mechanics from a computational perspective. While physical problems like the time-evolution of a quantum system or its ground and thermal states have simple closed-form expressions, these formulas become intractable for multipartite systems. Even for a …
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Efficiently Learning, Testing, and Simulating Quantum Many-Body Systems
This thesis focuses on quantum information and quantum computing, and their applications in studying quantum many-body systems. A remarkable interplay between computer science and quantum physics in the past few decades has revealed that a precise control and manipulation of interacting quantum …
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Dynamics of quantum many-body systems with long-range interactions
… possibilities with strongly correlated systems of ultracold atoms in optical lattices and trapped ions make them one of the most promising candidates for quantum simulation and quantum computation in the near future, and open new opportunities for study many-body physics. …
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Chaos and Thermalization in Quantum Many-Body Systems and Gravity
… explore the process of thermalization in chaotic quantum many-body systems with the help of concepts and techniques from quantum information theory. We identify a universal dynamical process in the Heisenberg evolution of operators known as void formation, and use it to provide a new …
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Eigenvalues and low energy eigenvectors of quantum many-body systems
… Matrix Product States (MPS) representation of quantum spin systems on a line with an improvement on the notation. The rest of this thesis is divided into two parts. The first part is devoted to eigenvalues of quantum many-body systems (QMBS). I introduce Isotropic Entanglement (IE) and show …
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On some nonlinear partial differential equations for classical and quantum many body systems
… partial differential equations arising from many-body problems. It is divided into two parts: The first part concerns the derivation of a nonlinear diffusion equation from a microscopic stochastic process. We give a new method to show that in the hydrodynamic limit, the particle densities of …
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Field theoretical methods for strongly correlated electron systems
… as a powerful computational tool to study quantum many-body systems. They have been applied successfully to the study of various systems of strongly correlated electrons in condensed matter physics, particularly to problems where a non-perturbative treatment is required.
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Few- and many-body physics of dipoles in ion traps and optical lattice simulators
The presence of strong interactions in quantum many-body systems makes the analytical treatment of such systems very difficult. In this thesis we explore two possible proposals for simulating strongly correlated, quantum many-body systems: quantum simulations using trapped-ion quantum computers, …
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Quantum simulation of many-body dynamics
Quantum computers and simulators have the potential to improve our understanding of physics, material science, chemistry, and biology by providing a window into the dynamics of quantum many-body systems that appear in these fields. In addition to growing our knowledge of fundamental science, an …
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Operator algebra perspectives on interacting quantum systems
… mathematical physics is to study interacting systems beyond the reach of perturbation theory. This thesis studies interacting quantum systems using the mathematical theory of operator algebras. In the first part of this thesis, we consider how to construct quantum many-body systems from …
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Interrogating the void : the difficulty of extracting information from many-body systems
… the ways the information-theoretic properties of quantum many-body systems can be analyzed. I do this in two different settings. First, I will describe an approach to the "scrambling time problem," a conjecture of Susskind and Sekino that asserts that black holes can thermalize the information of …
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MANY-BODY ENTANGLEMENT DYNAMICS AND COMPUTATION IN QUANTUM SYSTEMS WITH POWER-LAW INTERACTIONS
Quantum many-body systems with long-range interactions—such as those that decay as a power-law in the distance between particles—are promising candidates for quantum information processors. Due to their high degree of connectivity, they are potentially capable of generating entanglement more …
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Quantum Resources in Quantum Technologies: From Quantum Optimization to Many-Body Physics
Significant progress has been made in quantum technologies over the past decade. Despite this success, a central question remains: to what extent quantum resources are being exploited. This question is crucial not only for benchmarking quantum systems but also to unlock their full potential. This …
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Path integral Monte Carlo simulations of solid H2 surfaces and thin 4He films on H2 substrates
Based on Richard P. Feynman's formulation of quantum mechanics, Path Integral Monte Carlo is a computational ab-initio method to calculate finite temperature equilibrium properties of quantum many-body systems. As input, only fundamental physical constants and pair-potentials are required. We carry …
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PRECISION MEASUREMENT TO STUDY STRONGLY CORRELATED SYSTEMS-FROM A SINGLE ION TO PHONONS IN AN ION CHAIN
Emulation of isolated strongly correlated quantum many-body systems has been a subject of intense experimental and theoretical research in recent years. Trapped ions are well-controlled quantum systems and the ideal choice for studying the strongly correlated systems to unfold the correlated …
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Learning Theoretic Foundations for Understanding Quantum Systems
Understanding and harnessing the power of quantum systems has the potential to transform many domains in science and technology. However, before we can achieve these aspirations, we must first build a better understanding of how quantum systems fundamentally behave. In this thesis, we approach this …
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TENSOR NETWORKS FOR OPEN QUANTUM SYSTEMS
Is it possible to efficiently simulate a quantum physical system on a classical computer? The computational resources needed to manipulate quantum many-body states typically scale exponentially in the number of their constituents, making the simulation very difficult or outright impossible even at …
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