Advanced Experimental Methods For Noise Research in by F.N. Hooge (auth.), Josef Sikula, Michael Levinshtein (eds.)

By F.N. Hooge (auth.), Josef Sikula, Michael Levinshtein (eds.)

A dialogue of lately built experimental tools for noise study in nanoscale digital units, carried out by way of experts in delivery and stochastic phenomena in nanoscale physics. The strategy defined is to create equipment for experimental observations of noise assets, their localization and their frequency spectrum, voltage-current and thermal dependences. Our present wisdom of size tools for mesoscopic units is summarized to spot instructions for destiny learn, regarding downscaling results.

The instructions for destiny examine into fluctuation phenomena in quantum dot and quantum twine units are distinctive. Nanoscale digital units stands out as the simple parts for electronics of the twenty first century. From this standpoint the signal-to-noise ratio is an important parameter for the machine software. because the noise can also be a top quality and reliability indicator, experimental equipment may have a large software sooner or later.

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Mx Abstract We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the Ramanujan sums. As a result phase variability looks quite similar to its classical counterpart, having peaks at dimensions equal to a power of a prime number. Squeezing of that noise is allowed for specific quantum states. The concept of phase entanglement for pairs of phase-locked states is introduced.

Because the model (1) is additive, it follows E{E[ X t2 ]} = tσ 02 N , (4) E{Var[ X t2 ]} = 3tσ 04 N . (5) In Eq. (2), we need the average of expectations of all variances 1 ­ m 2½ 1 E ®¦ X t ¾ = (m + 1)σ 02 N . m ¯ t =1 ¿ 2 (6) m +1 ∆ of the measured 2 process, which is an incremental process with an increasing variance. 2. , ( m − 1) . According to the structure of the marginal variance, we decompose every random increment [ X t + ∆ − X t ] into the fixed and the random variance component, e(∆) and a (∆ ) , respectively.

And Noise Lett. 1 (2001) R63–R77. [2] M. Planat and E. Henry, The arithmetic of 1/f noise in a phase-locked loop, Appl. Phys. Lett. 80 (2002) 13–16. [3] M. Planat and H. Rosu, Cyclotomy and Ramanujan sums in quantum phase locking, Phys. Lett. A (in press), ArXiv quant-ph/0304101. Some errors and misprints are present in that earlier report. The summation in (3),(5),(7) and (9) should be from 0 to φ(q). The expectation value θqlock in (8) should be squared. They are also slight changes in the plots.

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