The evolution of the Buddhist rakṣā genre in the light of new evidence from Gandhāra: The *Manasvi-nāgarāja-sūtra from the Bajaur Collection of Kharoṣṭhī manuscripts

This article examines the *Manasvi-nāgarāja-sūtra, a unique text in the rakṣā genre of Buddhist literature dating to the early centuries of the common era. In addition to exploring special features of the vocabulary and meaning of this text, the article places the *Manasvi-nāgarāja-sūtra in the wider context of Buddhist textual and ritual practice in the first, second and third centuries ce

Comparing resolved-sideband cooling and measurement-based feedback cooling on an equal footing: analytical results in the regime of ground-state cooling

We show that in the regime of ground-state cooling, simple expressions can be derived for the performance of resolved-sideband cooling --- an example of coherent feedback control --- and optimal linear measurement-based feedback cooling for a harmonic oscillator. These results are valid to leading order in the small parameters that define this regime. They provide insight into the origins of the limitations of coherent and measurement-based feedback for linear systems, and the relationship between them. These limitations are not fundamental bounds imposed by quantum mechanics, but are due to the fact that both cooling methods are restricted to use only a linear interaction with the resonator. We compare the performance of the two methods on an equal footing --- that is, for the same interaction strength --- and confirm that coherent feedback is able to make much better use of the linear interaction than measurement-based feedback. We find that this performance gap is caused not by the back-action noise of the measurement but by the projection noise. We also obtain simple expressions for the maximal cooling that can be obtained by both methods in this regime, optimized over the interaction strength.Comment: 14 pages, 2 png figures; v2: revised for publicatio

Any-order propagation of the nonlinear Schroedinger equation

We derive an exact propagation scheme for nonlinear Schroedinger equations. This scheme is entirely analogous to the propagation of linear Schroedinger equations. We accomplish this by defining a special operator whose algebraic properties ensure the correct propagation. As applications, we provide a simple proof of a recent conjecture regarding higher-order integrators for the Gross-Pitaevskii equation, extend it to multi-component equations, and to a new class of integrators.Comment: 10 pages, no figures, submitted to Phys. Rev.

Polarization Observables in γN→KKˉN\gamma N\to K\bar{K}N

We explore some of the rich structure of the polarization observables recently developed for processes like $\gamma N\to\pi\pi N$ and $\gamma N\to K \bar{K} N$ in the framework of a specific model for the latter process. Emphasis is placed on observables that may be accesible at existing facilities in the near future. The sensitivity of the observables to the details of the model indicate that they will be a very useful tool in differentiating between different models for reactions like these. In the framework of a model for $\gamma N\to K \bar{K} N$, we examine the sensitivity of the observables to coupling constants of the $\phi$, to the properties of the $\Lambda(1405)$, and to the existence of the $\Theta^+$.Comment: 21 pages, latex, 17 figures, 1 style file include

NSTAR 2017

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