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Titlebook: Quantum Quenching, Annealing and Computation; Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti Book 2010 Springer-Verlag Berlin Heidelbe

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書目名稱Quantum Quenching, Annealing and Computation
編輯Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti
視頻videohttp://file.papertrans.cn/782/781438/781438.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Physics
圖書封面Titlebook: Quantum Quenching, Annealing and Computation;  Anjan Kumar Chandra,Arnab Das,Bikas K. Chakrabarti Book 2010 Springer-Verlag Berlin Heidelbe
描述The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the ‘disordered’ or excited states, can be formally mapped to the search of solutions for computationally hard problems. The dynamics through the critical point, in between, are therefore extremely crucial. In the context of such computational optimization problems, the dynamics (of rapid quenching or slow annealing), while tuning the appropriate elds or uctuations, in particular while crossing the quantum critical point, are extremely intriguing and are being investigated these days intensively. Several successful methods and tricks are now well established. This volume gives a collection of introductory reviews on such developments written by well-known experts. It concentrates on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. We hope these timely reviews will inspire the young researchers to join and c- tribute to this fast-growing, intellectually challenging, as well as technologically demanding eld. We are extremely thankful to the contributors for their
出版日期Book 2010
關(guān)鍵詞Monte Carlo method; Renormalization group; classical and quantum Ising model; frustrated quantum many-b
版次1
doihttps://doi.org/10.1007/978-3-642-11470-0
isbn_softcover978-3-642-11469-4
isbn_ebook978-3-642-11470-0Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2010
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Non-equilibrium Dynamics of Quantum Systems: Order Parameter Evolution, Defect Generation, and Qubiions. The other exponent which is going to be important for the purpose of this review is the well-known correlation length exponent .. These exponents are formally defined as follows. As we approach the critical pointat ., the correlation length diverges as ., while the gap between the ground state
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,Adiabatic Perturbation Theory: From Landau–Zener Problem to Quenching Through a Quantum Critical Po non-equilibrium quantum dynamics, it has been recognized that such issues as integrability, dimensionality, universality (near critical points) can be explored to understand the non-equilibrium behavior of many-particle systems in various specific situations.
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Influence of Local Moment Fluctuations on the Mott Transition, magnetic fluctuations should be expected to be weak, so that many predictions can be made from a single-site approach such as the Dynamical Mean Field Theory (DMFT)[4]. In particular, the fact that a low-temperature metallic state leads upon heating to an insulating phase can be understood as a Pom
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