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Titlebook: Dissipative Quantum Chaos and Decoherence; Daniel Braun Book 2001 Springer-Verlag Berlin Heidelberg 2001 Decoherence.Dissipation.Quantum C

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发表于 2025-3-21 19:37:17 | 显示全部楼层 |阅读模式
书目名称Dissipative Quantum Chaos and Decoherence
编辑Daniel Braun
视频video
概述Up-to-date review.Important area of current research.Helpful reference for scientists and graduates.Available online in LINK (http://link.springer.de/series/stmp).All figures and references linked.Tab
丛书名称Springer Tracts in Modern Physics
图书封面Titlebook: Dissipative Quantum Chaos and Decoherence;  Daniel Braun Book 2001 Springer-Verlag Berlin Heidelberg 2001 Decoherence.Dissipation.Quantum C
描述.Dissipative Quantum Chaos and Decoherence. provides an overview of the state of the art of research in this exciting field. The main emphasis is on the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems. The formalism is employed to reveal how the spectrum of the quantum mechanical propagator of a density matrix is determined by the spectrum of the corresponding classical propagator of phase space density. Simple quantum--classical hybrid formulae for experimentally relevant correlation functions and time-dependent expectation values of observables are derived. The problem of decoherence is treated in detail, and highly unexpected cases of very slow decoherence are revealed, with important consequences for the long-debated realizability of Schrödinger cat states as well as for the construction of quantum computers.
出版日期Book 2001
关键词Decoherence; Dissipation; Quantum Computing; mechanics; quantum chaos
版次1
doihttps://doi.org/10.1007/3-540-40916-5
isbn_softcover978-3-662-14699-6
isbn_ebook978-3-540-40916-8Series ISSN 0081-3869 Series E-ISSN 1615-0430
issn_series 0081-3869
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Unitary Quantum Maps, mechanics. I shall introduce in this chapter about unitary quantum maps the object of choice for studying chaos in ordinary, i.e. nondissipative quantum mechanics. A standard example, namely a kicked top, will serve as a useful model, not only in this chapter, but for the rest of this book. We shal
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The Determinant of a Tridiagonal, Periodically Continued Matrix,according to [163] .The proof of the formula is quite analogous to the solution of a Schrödinger equation for a one-dimensional tight-binding Hamiltonian with nearest-neighbor hopping by using transfer matrices [163]. The inverse order of the initial and final indices on the product symbol indicates
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Partial Classical Maps and Stability Matrices for the Dissipative Kicked Top, as their stability matrices in phase space coordinates. All maps will be written in the notation (.) → (.), i.e. . and . stand for the initial and final momentum, and . and . for the initial and final (azimuthal) coordinate. The latter is defined in the interval from -. to .. The stability matrices
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