05739nam 22008535 450 99646680560331620200706123424.03-642-11470-910.1007/978-3-642-11470-0(CKB)2550000000015848(SSID)ssj0000399655(PQKBManifestationID)11955146(PQKBTitleCode)TC0000399655(PQKBWorkID)10384374(PQKB)11471835(DE-He213)978-3-642-11470-0(MiAaPQ)EBC3065565(PPN)149080956(EXLCZ)99255000000001584820100721d2010 u| 0engurnn|008mamaatxtccrQuantum Quenching, Annealing and Computation[electronic resource] /edited by Anjan Kumar Chandra, Arnab Das, Bikas K. Chakrabarti1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XII, 320 p.) Lecture Notes in Physics,0075-8450 ;802Bibliographic Level Mode of Issuance: Monograph3-642-11469-5 Includes bibliographical references and index.Quantum Approach to Classical Thermodynamics and Optimization -- Non-equilibrium Dynamics of Quantum Systems: Order Parameter Evolution, Defect Generation, and Qubit Transfer -- Defect Production Due to Quenching Through a Multicritical Point and Along a Gapless Line -- Adiabatic Perturbation Theory: From Landau–Zener Problem to Quenching Through a Quantum Critical Point -- Quench Dynamics of Quantum and Classical Ising Chains: From the Viewpoint of the Kibble–Zurek Mechanism -- Quantum Phase Transition in the Spin Boson Model -- Influence of Local Moment Fluctuations on the Mott Transition -- Signatures of Quantum Phase Transitions via Quantum Information Theoretic Measures -- How Entangled Is a Many-Electron State? -- Roles of Quantum Fluctuation in Frustrated Systems – Order by Disorder and Reentrant Phase Transition -- Exploring Ground States of Quantum Spin Glasses by Quantum Monte Carlo Method -- Phase Transition in a Quantum Ising Model with Long-Range Interaction -- Length Scale-Dependent Superconductor–Insulator Quantum Phase Transitions in One Dimension: Renormalization Group Theory of Mesoscopic SQUIDs Array -- Quantum-Mechanical Variant of the Thouless–Anderson–Palmer Equation for Error-Correcting Codes -- Probabilistic Model of Fault Detection in Quantum Circuits.The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the 'disordered' or excited states, can formally be mapped onto the search of solutions for computationally hard problems. The dynamics through quantum critical points are especially crucial in the context of such computational optimization problems and have been investigated intensively in recent times. Several successful methods are now well-established, and this volume compiles a collection of introductory reviews on such developments and related aspects. Written by well known experts, these lectures concentrate on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. The style has been kept as tutorial as possible in order to make this volume a suitable reference for young researchers joining this exciting and burgeoning field of research. .Lecture Notes in Physics,0075-8450 ;802Elementary particles (Physics)Quantum field theoryStatistical physicsDynamical systemsCondensed matterPhase transitions (Statistical physics)Quantum physicsQuantum computersSpintronicsElementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Condensed Matter Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25005Phase Transitions and Multiphase Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P25099Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Elementary particles (Physics).Quantum field theory.Statistical physics.Dynamical systems.Condensed matter.Phase transitions (Statistical physics).Quantum physics.Quantum computers.Spintronics.Elementary Particles, Quantum Field Theory.Complex Systems.Condensed Matter Physics.Phase Transitions and Multiphase Systems.Quantum Physics.Quantum Information Technology, Spintronics.530.12Chandra Anjan Kumaredthttp://id.loc.gov/vocabulary/relators/edtDas Arnabedthttp://id.loc.gov/vocabulary/relators/edtChakrabarti Bikas Kedthttp://id.loc.gov/vocabulary/relators/edtBOOK996466805603316Quantum Quenching, Annealing and Computation855588UNISA