Environment-Induced Decoherence and the Transition from Quantum to Classical
Juan Pablo Paz,Wojciech H. Zurek +1 more
- Vol. 72, pp 533
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TLDR
In this paper, the authors study the dynamics of quantum open systems, paying special attention to those aspects of their evolution which are relevant to the transition from quantum to classical, and discuss decoherence and environment-induced superselection einselection in a more general setting.Abstract:
We study dynamics of quantum open systems, paying special attention to those aspects of their evolution which are relevant to the transition from quantum to classical. We begin with a discussion of the conditional dynamics of simple systems. The resulting models are straightforward but suffice to illustrate basic physical ideas behind quantum measurements and decoherence. To discuss decoherence and environment-induced superselection einselection in a more general setting, we sketch perturbative as well as exact derivations of several master equations valid for various systems. Using these equations we study einselection employing the general strategy of the predictability sieve. Assumptions that are usually made in the discussion of decoherence are critically reexamined along with the ``standard lore'' to which they lead. Restoration of quantum-classical correspondence in systems that are classically chaotic is discussed. The dynamical second law -it is shown- can be traced to the same phenomena that allow for the restoration of the correspondence principle in decohering chaotic systems (where it is otherwise lost on a very short time-scale). Quantum error correction is discussed as an example of an anti-decoherence strategy. Implications of decoherence and einselection for the interpretation of quantum theory are briefly pointed out.read more
Citations
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Decoherence and the Transition from Quantum to Classical—Revisited
TL;DR: The environment surrounding a quantum system can, in effect, monitor some of the systems observables, and the eigen states of these observables continuously decohere and can behave like classical states as mentioned in this paper.
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Dynamics of Loschmidt echoes and fidelity decay
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References
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Book
The Theory of Error-Correcting Codes
TL;DR: This book presents an introduction to BCH Codes and Finite Fields, and methods for Combining Codes, and discusses self-dual Codes and Invariant Theory, as well as nonlinear Codes, Hadamard Matrices, Designs and the Golay Code.
Journal ArticleDOI
On the Generators of Quantum Dynamical Semigroups
TL;DR: In this paper, the notion of a quantum dynamical semigroup is defined using the concept of a completely positive map and an explicit form of a bounded generator of such a semigroup onB(ℋ) is derived.
Book ChapterDOI
On the quantum correction for thermodynamic equilibrium
TL;DR: In this article, the Boltzmann formula for lower temperatures has been developed for a correction term, which can be developed into a power series of h. The formula is developed for this correction by means of a probability function and the result discussed.
Journal ArticleDOI
A single quantum cannot be cloned
TL;DR: In this article, the linearity of quantum mechanics has been shown to prevent the replication of a photon of definite polarization in the presence of an excited atom, and the authors show that this conclusion holds for all quantum systems.
Journal ArticleDOI
Dynamics of the dissipative two-state system
Anthony J. Leggett,Sudip Chakravarty,Alan T. Dorsey,Matthew P. A. Fisher,Anupam Garg,Wilhelm Zwerger +5 more
TL;DR: In this article, a functional-integral approach to the dynamics of a two-state system coupled to a dissipative environment is presented, and an exact and general prescription for the reduction, under appropriate circumstances, of the problem of a system tunneling between two wells in the presence of dissipative environments to the spin-boson problem is given.