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020 _a9783642114700
_9978-3-642-11470-0
024 7 _a10.1007/978-3-642-11470-0
_2doi
050 4 _aQC793-793.5
050 4 _aQC174.45-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI051000
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072 7 _aPHQ
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082 0 4 _a539.72
_223
245 1 0 _aQuantum Quenching, Annealing and Computation
_h[electronic resource] /
_cedited by Anjan Kumar Chandra, Arnab Das, Bikas K. Chakrabarti.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2010.
300 _aXII, 320 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v802
505 0 _aQuantum 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.
520 _aThe 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. .
650 0 _aQuantum theory.
650 1 4 _aElementary Particles, Quantum Field Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P23029
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aCondensed Matter Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25005
650 2 4 _aPhase Transitions and Multiphase Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P25099
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
700 1 _aChandra, Anjan Kumar.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aDas, Arnab.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aChakrabarti, Bikas K.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642115059
776 0 8 _iPrinted edition:
_z9783642114694
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v802
856 4 0 _uhttps://doi.org/10.1007/978-3-642-11470-0
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11989
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