Approximate Capacity of Gaussian Relay Networks

We present an achievable rate for general Gaussian relay networks. We show that the achievable rate is within a constant number of bits from the information-theoretic cut-set upper bound on the capacity of these networks. This constant depends on the topology of the network, but not the values of the channel gains. Therefore, we uniformly characterize the capacity of Gaussian relay networks within a constant number of bits, for all channel parameters.Comment: This paper is submited to 2008 IEEE International Symposium on Information Theory (ISIT 2008) -In the revised format the approximation gap (\kappa) is sharpene

Approximating Steady States in Equilibrium and Nonequilibrium Condensates

We obtain approximations for the time-independent Gross-Pitaevskii (GP) and complex GP equation in two and three spatial dimensions by generalizing the divergence-free WKB method. The results include an explicit expression of a uniformly valid approximation for the condensate density of an ultracold Bose gas confined in a harmonic trap that extends into the classically forbidden region. This provides an accurate approximation of the condensate density that includes healing effects at leading order that are missing in the widely adopted Thomas-Fermi approximation. The results presented herein allow us to formulate useful approximations to a range of experimental systems including the equilibrium properties of a finite temperature Bose gas and the steady-state properties of a 2D nonequilibrium condensate. Comparisons between our asymptotic and numerical results for the conservative and forced-dissipative forms of the GP equations as applied to these systems show excellent agreement between the two sets of solutions thereby illustrating the accuracy of these approximations.Comment: 5 pages, 1 figur

Quantum feedback control and classical control theory

We introduce and discuss the problem of quantum feedback control in the context of established formulations of classical control theory, examining conceptual analogies and essential differences. We describe the application of state-observer-based control laws, familiar in classical control theory, to quantum systems and apply our methods to the particular case of switching the state of a particle in a double-well potential

Prescient, inconsistent, and ignorant: Commentary on the Dispensation of dynamite

Comments on the article The Dispensation of Dynamite (1883, March 16) (see record 2018-63621-005). The Dispensation of Dynamite (1883, March 16) is equal parts prescient, inconsistent, ignorant, and devoid of true context. The authors try to contextualize aspects of Dispensation’s reporting, add some correctives to erroneous aspects, and draw upon contemporary debates within terrorism studies, as well as recent terrorist attacks. Dispensation reports the day after coordinated

Manejo de pastagem.

Este folder apresenta informações básicas sobre manejo de pastagem: o objetivo do manejo de pastagem; sistemas de pastejo; taxa de lotação; pressão do pastejo, capacidade de suportebitstream/CPAF-RO-2010/14520/1/folder-pastagem.pdfFolder

The Quantum Emergence of Chaos

The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation -- as all experimental systems must be -- their dynamics is no longer linear and, in the appropriate limit(s), the evolution of expectation values, conditioned on the observations, closely approaches the behavior of classical trajectories. Here we show, by analyzing a specific example, that microscopic continuously observed quantum systems, even far from any classical limit, can have a positive Lyapunov exponent, and thus be truly chaotic.Comment: 4 pages, 4 figure