Frequently Asked Questions About Decoherence

We give a short, critical review of the issue of decoherence. We establish the most general framework in which decoherence can be discussed, how it can be quantified, and how it can be measured. We focus on environment induced decoherence and its degree of usefulness for the interpretation of quantum theory. We finally discuss the emergence of a classical world. An overall emphasis is given in pointing at common fallacies and misconceptions.

[1]  B. D'espagnat.  Conceptual Foundations Of Quantum Mechanics , 1971 .

[2]  Philip Stamp,et al.  Theory of the spin bath , 2000 .

[3]  Lombardo,et al.  Coarse graining and decoherence in quantum field theory. , 1995, Physical review. D, Particles and fields.

[4]  B. Hu,et al.  Two-Level Atom-Field Interaction: Exact Master Equations for Non-Markovian Dynamics, Decoherence and Relaxation , 1999, quant-ph/9901078.

[5]  R. Penrose,et al.  Quantum Concepts in Space and Time , 1986 .

[6]  Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime , 1993, gr-qc/9304006.

[7]  Padmanabhan,et al.  Decoherence in the density matrix describing quantum three-geometries and the emergence of classical spacetime. , 1989, Physical review. D, Particles and fields.

[8]  A. Mackay.  On complexity , 2001 .

[9]  Brun,et al.  Decoherence of hydrodynamic histories: A simple spin model. , 1996, Physical review. D, Particles and fields.

[10]  Habib,et al.  Coherent states via decoherence. , 1993, Physical review letters.

[11]  Halliwell,et al.  Decoherence in quantum cosmology. , 1989, Physical review. D, Particles and fields.

[12]  R. Omnes,et al.  Logical reformulation of quantum mechanics. I. Foundations , 1988 .

[13]  W. Zurek.  Pointer Basis of Quantum Apparatus: Into What Mixture Does the Wave Packet Collapse? , 1981 .

[14]  A. Leggett,et al.  Path integral approach to quantum Brownian motion , 1983 .

[15]  V. Anderson,et al.  Information-theoretic measure of uncertainty due to quantum and thermal fluctuations. , 1993, Physical review. D, Particles and fields.

[16]  Halliwell,et al.  Generalized uncertainty relations and long-time limits for quantum Brownian motion models. , 1995, Physical review. D, Particles and fields.

[17]  Quantum Limit of Decoherence: Environment Induced Superselection of Energy Eigenstates , 1998, quant-ph/9811026.

[18]  Robert B. Griffiths,et al.  Consistent histories and the interpretation of quantum mechanics , 1984 .

[19]  E. Calzetta,et al.  Influence action and decoherence of hydrodynamic modes , 1998, quant-ph/9809084.

[20]  Coarse grainings and irreversibility in quantum field theory , 1996, hep-th/9611156.

[21]  Classical dynamics of the quantum harmonic chain , 1999, quant-ph/9905079.

[22]  L. Ballentine,et al.  Probabilistic and Statistical Aspects of Quantum Theory , 1982 .

[23]  Michael Danos,et al.  The Mathematical Foundations of Quantum Mechanics , 1964 .

[24]  Decoherent histories and hydrodynamic equations , 1998, quant-ph/9805062.

[25]  Information measures and classicality in quantum mechanics , 1998, quant-ph/9805055.

[26]  Decoherent Histories and the Emergent Classicality of Local Densities , 1999, quant-ph/9905094.

[27]  Quantum-mechanical histories and the uncertainty principle. II. Fluctuations about classical predictability. , 1993, Physical review. D, Particles and fields.

[28]  Decoherence of quantum fields: Pointer states and predictability. , 1995, Physical review. D, Particles and fields.

[29]  The action operator for continuous-time histories , 1998, gr-qc/9811078.

[30]  Gell-Mann,et al.  Classical equations for quantum systems. , 1992, Physical review. D, Particles and fields.

[31]  Quantum theory of nonrelativistic particles interacting with gravity. , 1995, Physical review. D, Particles and fields.

[32]  W. Zurek.  Environment-induced superselection rules , 1982 .

[33]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[34]  Continuous histories and the history group in generalized quantum theory , 1995, gr-qc/9503063.

[35]  R. Morrow,et al.  Foundations of Quantum Mechanics , 1968 .

[36]  C. J. Isham,et al.  Quantum logic and the histories approach to quantum theory , 1993 .

[37]  Max Born,et al.  THE INTERPRETATION OF QUANTUM MECHANICS* , 1953, The British Journal for the Philosophy of Science.

[38]  M. Gell-Mann,et al.  Physics Today. , 1966, Applied optics.

[39]  H. Yuen.  Quantum detection and estimation theory , 1978, Proceedings of the IEEE.

[40]  W. H. Zurek.  Complexity, Entropy and the Physics of Information , 1990 .

[41]  Quantum state diffusion, density matrix diagonalization, and decoherent histories: A model. , 1995, Physical review. D, Particles and fields.

[42]  Paz,et al.  Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise. , 1992, Physical review. D, Particles and fields.

[43]  I. Stamatescu,et al.  Decoherence and the Appearance of a Classical World in Quantum Theory , 1996 .

[44]  R. Omnes.  General theory of the decoherence effect in quantum mechanics , 1997 .

[45]  Zurek,et al.  Reduction of a wave packet in quantum Brownian motion. , 1989, Physical review. D, Particles and fields.

[46]  The role of infrared divergence for decoherence , 1999, math-ph/9911015.

[47]  Continuous-time histories: Observables, probabilities, phase space structure and the classical limit , 2000, quant-ph/0008052.