Spin structure of the proton and large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>processes in polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pp</mml:mi></mml:math>collisions

Gordon, L. E.; Ramsey, Gordon P.

doi:10.1103/physrevd.59.074018

Cited by 10 publications

(7 citation statements)

References 22 publications

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“…Thus one gets a diagonal reduced density matrix through which it is immediate to evaluate the entanglement entropy. The results for a Dicke state with J = 10 for a decomposition in (N 1 , N 2 ) = (1,19), (2,18) and (10,10) subsets are displayed in the left part of Fig. 1.…”

Section: Entanglement Propertiesmentioning

confidence: 99%

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Entanglement and localization of a two-mode Bose–Einstein condensate

et al. 2010

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A simple second quantization model is used to describe a two-mode Bose-Einstein condensate (BEC), which can be written in terms of the generators of a SU (2) algebra with three parameters. We study the behaviour of the entanglement entropy and localization of the system in the parameter space of the model. The phase transitions in the parameter space are determined by means of the coherent state formalism and the catastrophe theory, which besides let us get the best variational state that reproduces the ground state energy. This semiclassical method let us organize the energy spectrum in regions where there are crossings and anticrossings. The ground state of the twomode BEC, depending on the values of the interaction strengths, is dominated by a single Dicke state, a spin collective coherent state, or a superposition of two spin collective coherent states. The entanglement entropy is determined for two recently proposed partitions of the two-mode BEC that are called separation by boxes and separation by modes of the atoms. The entanglement entropy in the boxes partition is strongly correlated to the properties of localization in phase space of the model, which is given by the evaluation of the second moment of the Husimi function. To compare the fitness of the trial wavefunction its overlap with the exact quantum solution is evaluated. The entanglement entropy for both partitions, the overlap and localization properties of the system get singular values along the separatrix of the arXiv:0910.3256v1 [cond-mat.quant-gas]

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Section: Entanglement Propertiesmentioning

confidence: 99%

“…In 1996, Myatt et al [7] created two different condensates in the same trap, which corresponds to two different spins states of 87 Rb. These two spin states or species consist of two hyperfine sublevels of 87 Rb, |F, M F = |1, −1 and |2, 2 , while in other experiments [8,9,10] they consider the sublevels |1, −1 and |2, 1 .…”

Section: Introductionmentioning

confidence: 99%

Entanglement and localization of a two-mode Bose–Einstein condensate

et al. 2010

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“…We think that the best way to proceed is to actually perform the integrals explicitly in the recursion relations and let the subtracting terms appear under the same integral together with the bulk contributions (x < 1) (see also [6]). This procedure is best exemplified by the integral relation…”

Section: The Ansatz and Some Examplesmentioning

confidence: 99%

Direct solution of renormalization group equations of QCD in x-space: NLO implementations at leading twist

Cafarella

Corianò

2004

Computer Physics Communications

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We illustrate the implementation of a method based on the use of recursion relations in (Bjorken) x-space for the solution of the evolution equations of QCD for all the leading twist distributions. The algorithm has the advantage of being very fast. The implementation that we release is written in C and is performed to next-to-leading order in α s . Program summaryTitle of program: evolution.c Catalogue identifier: ADUB Program summary URL: Nature of physical problem: The program provided here solves the DGLAP evolution equations to next-to-leading order α s , for unpolarized, longitudinally polarized and transversely polarized parton distributions. Method of solution:We use a recursive method based on an expansion of the solution in powers of log(α s (Q)/α s (Q 0 )). Typical running time: About 1 minute and 30 seconds for the unpolarized and longitudinally polarized cases and 1 minute for the transversely polarized case.

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“…The quark and gluon unpolarized distributions are CTEQ5 and the polarized quark distributions are a modified GGR set. [6] There are constraints on A 0 (x) that must be imposed to satisfy the physical behavior of the gluon asymmetry, A(x). These are:…”

Section: Modeling the Gluon Asymmetrymentioning

confidence: 99%

Spin-Orbit Dynamics from the Gluon Asymmetry

Ramsey,

Binder,

Sivers

2008

Preprint

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Determination of the orbital angular momentum of the proton is a difficult but important part of understanding fundamental structure. Insight can be gained from suitable models of the gluon asymmetry applied to the J z = 1/2 sum rule. We have constrained the models of the asymmetry to gain possible scenarios for the angular momentum of the protons constituents. Results and phenomenology for determining L z are presented.

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Spin structure of the proton and largepTprocesses in polarizedppcollisions

Cited by 10 publications

References 22 publications

Entanglement and localization of a two-mode Bose–Einstein condensate

Entanglement and localization of a two-mode Bose–Einstein condensate

Direct solution of renormalization group equations of QCD in x-space: NLO implementations at leading twist

Spin-Orbit Dynamics from the Gluon Asymmetry

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