Advanced Quantum Condensed Matter Physics Pdf

[Marlys Stotesberry]

Condensedmatter physics has fast become the largest discipline within physics. Based on an established course, this comprehensive textbook covers one-body, many-body and topological perspectives. It is the first textbook that presents a comprehensive coverage of topological aspects of condensed matter as a distinct yet integrated component. It covers topological fundamentals and their connection to physics, introduces Berry phase and Chern numbers, describes general topological features of band structures and delineates its classification. Applications as manifest in the quantum Hall effect, topological insulators and Weyl semimetal are presented. Modern topics of current interest are explored in-depth, helping students prepare for cutting-edge research. These include one-electron band theory, path integrals and coherent states functional integrals as well as Green and Matsubara functions, spontaneous symmetry breaking, superfluidity and superconductivity. Multiple chapters covering quantum magnetism are also included. With end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.

Prof. Crispin H. W. Barnes is a Professor of Quantum Physics at the Cavendish Laboratory and a Professorial Fellow of Girton College, Cambridge. He joined the Cavendish Laboratory in 1994, and prior to that was a research scientist in the Nanoelectronic group at RIKEN, Japan and a Royal Society Postdoctoral Fellow at Simon Fraser University, Canada. He completed his Ph.D in 1991 at Imperial College, London and has a 30 year track record in condensed matter physics research and engagement with industrial partners. He currently has funded projects with Mursla Ltd, Cambridge Biomagnetics Ltd, The National Physical Laboratory, Hitachi Cambridge Laboratory, The Satellite Applications Catapult and Nu Quantum. He was awarded the Brian Mercer Feasibility Award in 2014 for his work on magnetic microcarrier tags. He teaches two lecture courses; Quantum Information, and Advanced Quantum Condensed Matter Physics in Part III at the Cavendish Laboratory.

Since 2008, Prof. Barnes has run a materials growth facility at the Cavendish Laboratory, maintaining a number of bespoke molecular beam epitaxy systems with both insitu and exsitu analysis. It has allowed his group to study a wide variety of materials systems from magnetic oxides to topological insulators. He also runs a cleanroom and a low-temperature measurement facility that has enabled his group to both fabricate electronic microstructures and quantum devices structures and measure their electrical transport and optical properties from room temperature to 1.3K.

Since 2010 Prof. Barnes has built and run a number of bespoke, state-of-the-art GPU servers, funded mainly by Hitachi Cambridge. He and his group have considerable expertise in numerical modelling of quantum device structures and the simulation of quantum computers and quantum communication protocols. The group regularly use the IBM quantum computers.

In 2017 Prof. Barnes created an Environmental Physics Group in collaboration with three Peruvian universities; Moquegua UNAM, Barranca UNAB and Canete UNDC. This group has made analyses of river water, sediments, plants and bird life in the four river catchments near these universities. The group has developed; practical methods to do environmental impact studies in extreme environments, a new type of assay test using DNA to detect water born mercury as well as other metals, field technologies using drones and satellite imaging, and new statistical methods to deal with large environmental data sets.

Condensed matter physics is the science of the material world around us. We seek to understand how diverse complex phenomena arise when large numbers of constituents such as electrons, atoms and molecules interact with each other. Advances in our understanding of condensed-matter systems have led to fundamental discoveries such as novel phases of matter as well as many of the technological inventions that our societies are built on, including transistors, integrated circuits, lasers, high-performance composite materials and magnetic resonance imaging.

The Quantum and Condensed Matter Group at Dartmouth focuses on a range of problems at the intersection of quantum information processing, quantum statistical mechanics, and condensed matter physics. In this new frontier of condensed matter physics, our research involves not only understanding how systems work, but also how to design and control physical systems to function as we want. Common threads that run through both the experimental and theoretical research programs include: coherent control and many-body dynamics of complex quantum systems; dynamics of open quantum systems, quantum decoherence and quantum measurements; hybrid quantum device architectures.

Professor Blencowe's research interests are primarily within mesoscopic physics, in particular nanometer-to-micrometer scale systems that possess quantum electronic, mechanical, and electromagnetic degrees of freedom.

Professor Viola's research focuses on theoretical quantum information physics and quantum engineering. Current emphasis is on developing strategies for robustly controlling realistic open quantum systems, and on investigating fundamental aspects related to many-body quantum dynamics, entanglement and quantum randomness.

Professor Whitfield focuses on the role that quantum mechanics plays in computation both in terms of quantum computers and classical models of quantum information. Important areas under investigation are density functional theory, quantum simulation on today's quantum computers, and the physics of computation.

Professor Rimberg's research focuses on radio-frequency and microwave techniques to investigate quantum phenomena in such nanostructures as quantum dots and single-electron transistors. The group has active collaborations with the University of Wisconsin and NIST Boulder.

Professor Ramanathan's research addresses the challenge of controlling and measuring quantum phenomena in large many-body systems by exploring the quantum dynamics of solid state spin systems. The group has active collaborations with the Institute for Quantum Computing at the University of Waterloo, Harvard University and MIT.

Professor Wright is investigating the properties of quantum systems using ensembles of ultracold atoms, with an emphasis on atom-photon interaction in many-body systems. Specific topics of interest include nonequilibrium phase transitions, transport phenomena, cavity optomechanics and cavity QED.

Professor Sarpeshkar's research focuses on using analog circuits and analog computation to design advanced quantum circuits, quantum computer architectures. and hybrid quantum-classical systems. Such systems have applications for simulating chemistry via analog supercomputing chips in his dry lab, in fault-tolerant quantum computing, and in quantum circuit design for NMR or superconducting RF circuits.

Francesco Ticozzi, Adjoint Visiting Assistant Professor focuses on quantum control theory, information encoding and communication in quantum systems, and information-theoretic approaches to control systems.

A diverse and inclusive intellectual community is critical to an exceptional education, scholarly innovation, and human creativity. The Faculty of Arts and Sciences is committed to actions and investments that foster welcoming environments where everyone feels empowered to achieve their greatest potential for learning, teaching, researching, and creating. Details of current action plans can be found in the Arts and Sciences Diversity and Inclusion Reports and Plans and the institution-wide strategic plan Toward Equity: Aligning Action and Accountability.

Astrophysics, gravity, and cosmology research focuses on understanding astrophysical phenomena, general relativity (and its extensions), and the evolution of the Universe. UVA faculty specialize in using gravitational waves from binaries of black holes, neutron stars, and white dwarfs to learn about fundamental physics, including the predictions of Einstein's general relativity, extreme states of matter, and the expansion history of the Universe.

Atomic, molecular, and optical physics focuses on the fundamental quantum nature of atoms, molecules, and light, and the control of their properties and behavior for a wide variety of applications. UVA faculty lead research projects that span the major current areas of interest in the field, including ultracold atoms, quantum optics, quantum measurement, quantum computation and simulation, quantum control, and attosecond science.

Theoretical condensed matter research aims to understand novel emergent phenomena of interacting many-particle systems. Our research groups work on a wide variety of cutting-edge topics including the entanglement and topological properties of many-body quantum systems, transport and other dynamical properties of topological and functional materials, macroscopic quantum phenomena such as superfluidity and superconductivity, and multi-scale dynamical modeling of correlated electron materials.

Mathematical physics seeks to apply rigorous mathematical methods to physical problems to enrich both disciplines. In particular, some critical questions in physics cannot be reliably addressed using approximate numerical or perturbative methods and therefore pose a challenge where rigorous methods may be the best way forward. Examples of such work in our department include rigorous proofs of stability for topological phases of matter, the direction of fluctuating forces such as the Casimir force, and various properties of systems with high entanglement, where numerical methods are particularly limited.

Quantum information science aims at developing technology whose operation is governed by quantum rules, such as, for example, the detection noise floor in a quantum sensor such as LIGO. At the other end of the complexity spectrum, quantum simulation and quantum computing promise exponential speedups for classically intractable physics problems. Our department conducts both experimental and theoretical research in quantum information science.

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