Download Quantum Measurements and Decoherence: Models and by Michael B. Mensky (auth.) PDF

By Michael B. Mensky (auth.)

Quantum size (Le., a dimension that is sufficiently detailed for quantum results to be crucial) used to be continually essentially the most impor­ tant issues in quantum mechanics since it so much obviously printed the variation among quantum and classical physics. Now quantum degree­ ment is back below energetic research, firstly a result of functional necessity of facing hugely specific and intricate measurements. the character of quantum size has develop into understood a lot wager­ ter in this new interval of job, the certainty being expressed by way of the idea that of decoherence. This time period ability a actual strategy lead­ ing from a natural quantum kingdom (wave functionality) of the approach sooner than the size to its kingdom after the size which include classical parts. extra concretely, decoherence happens because of the entangle­ ment of the measured process with its surroundings and ends up in the lack of part kin among elements of the wave functionality of the measured process. Decoherence is basically not anything else than quantum dimension, yet thought of from the viewpoint of its actual mechanism and resolved in time. the current ebook is dedicated to the 2 strategies of quantum degree­ ment and decoherence and to their interrelation, particularly within the context of constant quantum measurement.

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Quantum Measurements and Decoherence: Models and Phenomenology

Quantum dimension (Le. , a dimension that's sufficiently exact for quantum results to be crucial) used to be continuously some of the most impor­ tant issues in quantum mechanics since it such a lot obviously printed the adaptation among quantum and classical physics. Now quantum degree­ ment is back lower than lively research, to start with as a result functional necessity of facing hugely targeted and intricate measurements.

Extra resources for Quantum Measurements and Decoherence: Models and Phenomenology

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2) we shall consider (with energy as a measured observable) a more realistic description of the process, taking into account not only a sequence of fuzzy measurements but also free evolution of the system between them. We shall then apply another technique, restricted path integrals or complex Hamiltonians, to deal with a continuous rather than 44 CHAPTER 2 repeated measurement. It will be shown in Sect. 2 that the probabilities of converging the process to lal) or la2) are correspondingly ICll2 or IClI2, as in von Neumann's reduction postulate.

The conceptual problem is not resolved in this way. We are interested in this book mostly in the technical problems of the correct description of more or less complicated regimes of quantum measurements, and in clarifying the physical meaning of the procedure of measurement (decoherence). The abovementioned 'practical' resolution of the difficulty is quite sufficient for this goal. Some words about conceptual problems will be said at the end of the book. 4. Repeated fuzzy measurements as a model of decoherence We have considered above 'instantaneous' quantum measurements.

The conceptual problem is not resolved in this way. We are interested in this book mostly in the technical problems of the correct description of more or less complicated regimes of quantum measurements, and in clarifying the physical meaning of the procedure of measurement (decoherence). The abovementioned 'practical' resolution of the difficulty is quite sufficient for this goal. Some words about conceptual problems will be said at the end of the book. 4. Repeated fuzzy measurements as a model of decoherence We have considered above 'instantaneous' quantum measurements.

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