Measurements

New PDF release: QUANTUM MEASUREMENT OF A SINGLE SYSTEM

By Orly Alter

ISBN-10: 0471283088

ISBN-13: 9780471283089

A groundbreaking examine the character of quantum mechanics With new applied sciences allowing the commentary and manipulation of unmarried quantum structures, the quantum conception of size is quick turning into a subject matter of experimental research in laboratories around the world. This unique new paintings addresses open primary questions in quantum mechanics in gentle of those experimental advancements. utilizing a singular analytical method built by way of the authors, Quantum size of a unmarried procedure offers solutions to 3 long-standing questions which have been debated by way of such thinkers as Bohr, Einstein, Heisenberg, and Schrodinger. It establishes the quantum theoretical limits to info received within the size of a unmarried process at the quantum wavefunction of the process, the time evolution of the quantum observables linked to the procedure, and the classical potentials or forces which form this time evolution. The technological relevance of the idea is usually tested via examples from atomic physics, quantum optics, and mesoscopic physics. compatible for pros, scholars, or readers with a basic curiosity in quantum mechanics, the ebook gains contemporary formulations in addition to funny illustrations of the fundamental thoughts of quantum dimension. Researchers in physics and engineering will locate Quantum size of a unmarried approach a well timed consultant to at least one of the main stimulating fields of technological know-how at the present time.

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Extra resources for QUANTUM MEASUREMENT OF A SINGLE SYSTEM

Sample text

Note that in general, r is a complex number, and the squeezed state is not a minimumuncertainty state. In our measurement scheme the signal is coupled linearly to a squeezed vacuum probe, 10, q),,, where q is the squeezing parameter of the probe (Fig. 1).

Consider again the general quantum measurement process of the observable 4 of a signal system, which is intially in the state and = II,/I)~~($I. The three stages is described by the density operator of this measurement process are described completely by the probability-amplitude operator ? = ,(~11~~~),: preparation of a probe system in the pure state Ib),, interaction of the probe with the signal, and a measurement of the probe that yields the inferred measurement result ijl and reduces the probe state to the corresponding eigenstate Iijl),.

The center position of the probability density P(ijl), [ Gl) = 4, P(ij1)ijl. 3 The result 6 of a measurement of a quantum system can be used to estimate the expectation value ( 6 ) of the measured observable 6, which is the center position of the probability density of this observable P(q); the minimal estimate error is the initial quantum uncertainty associated with the measured observable (AG2), which is the width of the probability density P(q). This quantum uncertainty cannot be estimated from a single measurement result.

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QUANTUM MEASUREMENT OF A SINGLE SYSTEM by Orly Alter


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