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Salgado, David Cienfuegos; Sánchez-Gómez, J. L.

doi:10.1023/a:1021094519480

Cited by 12 publications

(15 citation statements)

References 24 publications

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“…This result, whose fully-fledged mathematical proof is provided elsewhere [15], reveals the fact that the Lindblad structure of ME for the case of selfadjoint Lindblad operators is beyond the Markov approximation and can also be recovered in nonMarkovian situations.…”

Section: Introductionmentioning

confidence: 56%

Damped quantum interference using stochastic calculus

Salgado¹,

Sánchez-Gómez²

2003

Journal of Modern Optics

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It is shown how the phase-damping master equation, either in Markovian and nonMarkovian regimes, can be obtained as an averaged random unitary evolution. This, apart from offering a common mathematical setup for both regimes, enables us to solve this equation in a straightforward manner just by solving the Schrödinger equation and taking the stochastic expectation value of its solutions after an adequate modification. Using the linear entropy as a figure of merit (basically the loss of quantum coherence) the distinction of four kinds of environments is suggested.

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Section: Introductionmentioning

confidence: 56%

Damped quantum interference using stochastic calculus

Salgado¹,

Sánchez-Gómez²

2003

Journal of Modern Optics

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“…This establishes the compatibility between the quantum formalism and special relativity: there are no internal contradictions. All this is well known and has also been used to propose the relativistic postulate of no-faster-than-light phenomena as a postulate in quantum mechanics [15,16].…”

Section: Collapse In Compound Systemsmentioning

confidence: 97%

Some reflections upon the reduction postulate in the light of today's technology

Ferrero

Salgado

Sánchez-Gómez

2003

Journal of Modern Optics

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We pose some reflections about the reduction postulate using experimental arrangements and results within the reach of today's technology. The reduction postulates: von Neumann's and Luders'The reduction process as a postulate appears for the first time in [3] and some years later [4] was generalized to include the measurement of observables with a degenerate spectrum. In modern language they can be expressed in the following way. Let a quantum system Q be described by a density operator p~. Suppose the observable F, with discrete spectrum (fn) and eigenvectors Ifn), is to be measured Optics ISSN 09504340 print/lSSN 1362-3044 online 0 Journal o j Modern

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“…This approach is summarised by noting again that quantum mechanics gives approximate decoherence. A semi-group theory as above, with its exact decoherence over time, is therefore an approximation to quantum mechanics, and is equivalent 20) to averaging randomised unitary evolution. The present theory may hence be useful when solving approximate quantum models such as the few-body models of halo breakup that use optical potentials, and expectation values are needed for subsystems of the original projectile.…”

Section: Summary Of the Odm Agendamentioning

confidence: 99%

Modelling Effects of Halo Breakup on Fusion

Thompson

Díaz-Torres

2004

Prog. Theor. Phys. Suppl.

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Theories of breakup and fusion of two-body projectiles are examined, to see how complete and incomplete fusion may be predicted separately. A proposal is made for an 'optical decoherence model' which uses semigroup evolution equations to describe the decoherence effects of the imaginary parts of optical potentials without also losing flux. §1. Fusion and irreversibilityThe fusion of two nuclei around the Coulomb barrier provides a fascinating testing ground for theories of quantum tunneling leading to an irreversible fusion of the nuclei into a compound nucleus. In the fusion of a halo nuclei with a stable target, the breakup of the halo can occur before or during the tunneling process, leading to a competition between fusion and breakup, both of which remove flux from the elastic channel.It is clear that compound nucleus formation is almost certainly irreversible, since the compound nucleus is very unlikely to decay to exactly the entrance channel, but considerable debate exists concerning the irreversibility (or otherwise) of breakup. We might think, because of the large phase space available for breakup, that it should not be reversible for the same reasons as for fusion. Another way of saying this is that there should be a loss of phase coherence between some sets of channels: a decoherence between the initial elastic and final breakup channels. Yet another standpoint is that breakup might deplete flux from the elastic channel, generating an effective absorptive component of the optical potential that is much larger than any real polarisation potential. This is true for fusion channels, we agree, but still we wish to solve an explicit few-body dynamical model to calculate the effects of breakup.The subject of decoherence is of wide interest in the foundations of quantum mechanics. It is generally accepted, in what is now called the Decoherent Histories approach, 1) that decoherence arises from couplings to the many degrees of freedom in the environment of a quantum system. While decoherence might not occur exactly in strict quantum mechanics without 'observations', many systems evolve over time into superpositions of states that are decoherent for all practical purposes. In halo fusion, we accept that the fusion channels definitely act like such an environment, but debate whether breakup channels are also an environment to induce decoherence in this sense.A completely microscopic model of the interaction between a two-body halo projectile with a target should ideally begin with real-valued (effective) interactions

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Untitled

Cited by 12 publications

References 24 publications

Damped quantum interference using stochastic calculus

Damped quantum interference using stochastic calculus

Some reflections upon the reduction postulate in the light of today's technology

Modelling Effects of Halo Breakup on Fusion

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