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Search Results: 1 - 10 of 465721 matches for " Pier A. Mello "
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Measurement and Ergodicity in Quantum Mechanics
Mariano Bauer,Pier A. Mello
Mathematics , 2013,
Abstract: The experimental realization of successive non-demolition measurements on single microscopic systems brings up the question of ergodicity in Quantum Mechanics (QM). We investigate whether time averages over one realization of a single system are related to QM averages over an ensemble of similarly prepared systems. We adopt a generalization of von Neumann model of measurement, coupling the system to $N$ "probes" --with a strength that is at our disposal-- and detecting the latter. The model parallels the procedure followed in experiments on Quantum Electrodynamic cavities. The modification of the probability of the observable eigenvalues due to the coupling to the probes can be computed analytically and the results compare qualitatively well with those obtained numerically by the experimental groups. We find that the problem is not ergodic, except in the case of an eigenstate of the observable being studied.
The problem of quantum chaotic scattering with direct processes reduced to the one without
Victor A. Gopar,Pier A. Mello
Physics , 1997, DOI: 10.1209/epl/i1998-00218-2
Abstract: We show that the study of the statistical properties of the scattering matrix S for quantum chaotic scattering in the presence of direct processes (charaterized by a nonzero average S matrix ) can be reduced to the simpler case where direct processes are absent ( = 0). Our result is verified with a numerical simulation of the two-energy autocorrelation for two-dimensional S matrices. It is also used to extend Wigner's time delay distribution for one-dimensional S matrices, recently found for = 0, to the case not equal to zero; this extension is verified numerically. As a consequence of our result, future calculations can be restricted to the simpler case of no direct processes.
Order Symmetry of Weak Measurements
Lars M. Johansen,Pier A. Mello
Physics , 2009,
Abstract: Weak values are usually associated with weak measurements of an observable on a pre- and post-selected ensemble. We show that more generally, weak values are proportional to the correlation between two pointers in a successive measurement. We show that this generalized concept of weak measurements displays a symmetry under reversal of measurement order. We show that the conditions for order symmetry are the same as in classical mechanics. We also find that the imaginary part of the weak value has a counterpart in classical mechanics. This scheme suggests new experimental possibilities.
How Phase-Breaking Affects Quantum Transport Through Chaotic Cavities
Harold U. Baranger,Pier A. Mello
Physics , 1994, DOI: 10.1103/PhysRevB.51.4703
Abstract: We investigate the effects of phase-breaking events on electronic transport through ballistic chaotic cavities. We simulate phase-breaking by a fictitious lead connecting the cavity to a phase-randomizing reservoir and introduce a statistical description for the total scattering matrix, including the additional lead. For strong phase-breaking, the average and variance of the conductance are calculated analytically. Combining these results with those in the absence of phase-breaking, we propose an interpolation formula, show that it is an excellent description of random-matrix numerical calculations, and obtain good agreement with several recent experiments.
Reflection Symmetric Ballistic Microstructures: Quantum Transport Properties
Harold U. Baranger,Pier A. Mello
Physics , 1996, DOI: 10.1103/PhysRevB.54.R14297
Abstract: We show that reflection symmetry has a strong influence on quantum transport properties. Using a random S-matrix theory approach, we derive the weak-localization correction, the magnitude of the conductance fluctuations, and the distribution of the conductance for three classes of reflection symmetry relevant for experimental ballistic microstructures. The S-matrix ensembles used fall within the general classification scheme introduced by Dyson, but because the conductance couples blocks of the S-matrix of different parity, the resulting conductance properties are highly non-trivial.
Quantum Teleportation and Hidden Variables
Amir Kalev,Sergio Rivera,Pier A. Mello
Physics , 2008,
Abstract: In this paper we address the question as to what extent the quantum-mechanical nature of the process is relevant for teleportation of A spin-1/2 state. For this purpose we analyze the possibility of underpinning teleportation with a local-hidden-variable model. The nature of the models, which we consider as legitimate candidates, guarantees the classical character of all the probabilities which can be deduced from them. When we try to describe the teleportation process following two different mathematical routes, we find two different hidden-variable densities, which thus end up having a doubtful physical significance within the "reality" that a hidden-variable model tries to restore. This result we consider as a "no-go theorem" for the hidden-variable description of the teleportation process. We also show that this kind of conflict arises when considering successive measurements (one of which is selective projective) for one spin-1/2 particle.
Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
Harold U. Baranger,Pier A. Mello
Physics , 1994, DOI: 10.1103/PhysRevLett.73.142
Abstract: We deduce the effects of quantum interference on the conductance of chaotic cavities by using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the S matrix of a chaotic cavity, we find that the conductance fluctuation and weak-localization magnitudes are universal: they are independent of the size and shape of the cavity if the number of incoming modes, N, is large. The limit of small N is more relevant experimentally; here we calculate the full distribution of the conductance and find striking differences as N changes or a magnetic field is applied.
Quantum Mechanics of Successive Measurements with Arbitrary Meter Coupling
Lars M. Johansen,Pier A. Mello
Physics , 2009, DOI: 10.1016/j.physleta.2008.07.021
Abstract: We study successive measurements of two observables using von Neumann's measurement model. The two-pointer correlation for arbitrary coupling strength allows retrieving the initial system state. We recover Luders rule, the Wigner formula and the Kirkwood-Dirac distribution in the appropriate limits of the coupling strength.
The problem of phase breaking in the electronic conduction in mesoscopic systems: a linear-response theory approach
Pier A. Mello,Yoseph Imry,Boris Shapiro
Physics , 1999,
Abstract: We study the problem of electronic conduction in mesoscopic systems when the electrons are allowed to interact not only with static impurities, but also with a scatterer (a phase breaker(PB)) that possesses internal degrees of freedom. We first analyze the role of the PB in reducing the coherent interference effects in a one-electron quantum-mechanical system. In the many-electron system we can make a number of quite general statements within the framework of linear-response theory and the random-phase approximation. We cannot calculate the conductivity tensor in full generality: we thus resort to a model, in which that tensor can be expressed entirely in a single-electron picture. The resulting zero-temperature conductance can be written in terms of the total transmission coefficient at the Fermi energy, containing an additional trace over the states of the PB.
=\alpha n$: n is the dimensionality of S, and $0\leq \alpha \leq 1, \alpha =0(1)$ meaning complete (no) absorption. For strong absorption our result agrees with a number of analytical calculations already given in the literature. In that limit, the distribution of the individual (angular) transmission and reflection coefficients becomes exponential -Rayleigh statistics- even for n=1. For $n\gg 1$ Rayleigh statistics is attained even with no absorption; here we extend the study to $\alpha <1$. The model is compared with random-matrix-theory numerical simulations: it describes the problem very well for strong absorption, but fails for moderate and weak absorptions. Thus, in the latter regime, some important physical constraint is missing in the construction of the model.
Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model
Eugene Kogan,Pier A. Mello,He Liqun
Physics , 1999, DOI: 10.1103/PhysRevE.61.R17
Abstract: We propose an information-theoretic model for the transport of waves through a chaotic cavity in the presence of absorption. The entropy of the S-matrix statistical distribution is maximized, with the constraint $
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