Bounds for Non-Locality Distillation Protocols

Non-locality can be quantified by the violation of a Bell inequality. Since this violation may be amplified by local operations an alternative measure has been proposed - distillable non-locality. The alternative measure is difficult to calculate exactly due to the double exponential growth of the parameter space. In this article we give a way to bound the distillable non-locality of a resource by the solutions to a related optimization problem. Our upper bounds are exponentially easier to compute than the exact value and are shown to be meaningful in general and tight in some cases.Comment: 8 pages, 3 figures; small changes in introduction and application section due to the exact verification of distillation bounds using a symbolic computation package (Maple 14); added journal re

Introduction to Nietzsche on Mind and Nature

This chapter provides summaries of the chapter of this book and introduces the major themes and debates addressed in the volume. Discussed are Nietzsche’s metaphysics; his philosophy of mind in light of contemporary views; the question of panpsychism of Beyond Good and Evil 36; the rejection of dualism in favour of monism, in particular a monism of value; Nietzsche’s positions on consciousness and embodied cognition in light of recent cognitive science; a conception of freedom and agency based on an intrinsically motivating; embodied sense of self-efficacy; a Nietzschean account of valuing understood as drive-induced affective orientations of which an agent approves; the idea of ressentiment conceived as a process of intentional, not reflectively strategic, self-deception about one’s own conscious mental states; and a defence of a Nietzschean naturalism

Effects of semiclassical spiral fluctuations on hole dynamics

We investigate the dynamics of a single hole coupled to the spiral fluctuations related to the magnetic ground states of the antiferromagnetic J_1-J_2-J_3 Heisenberg model on a square lattice. Using exact diagonalization on finite size clusters and the self consistent Born approximation in the thermodynamic limit we find, as a general feature, a strong reduction of the quasiparticle weight along the spiral phases of the magnetic phase diagram. For an important region of the Brillouin Zone the hole spectral functions are completely incoherent, whereas at low energies the spectral weight is redistributed on several irregular peaks. We find a characteristic value of the spiral pitch, Q=(0.7,0.7)\pi, for which the available phase space for hole scattering is maximum. We argue that this behavior is due to the non trivial interference of the magnon assisted and the free hopping mechanism for hole motion, characteristic of a hole coupled to semiclassical spiral fluctuations.Comment: 6 pages, 5 figure

Spin polaron in the J1-J2 Heisenberg model

We have studied the validity of the spin polaron picture in the frustrated J1-J2 Heisenberg model. For this purpose, we have computed the hole spectral functions for the Neel, collinear, and disordered phases of this model, by means of the self-consistent Born approximation and Lanczos exact diagonalization on finite-size clusters. We have found that the spin polaron quasiparticle excitation is always well defined for the magnetically ordered Neel and collinear phases, even in the vicinity of the magnetic quantum critical points, where the local magnetization vanishes. As a general feature, the effect of frustration is to increase the amplitude of the multimagnon states that build up the spin polaron wave function, leading to the reduction of the quasiparticle coherence. Based on Lanczos results, we discuss the validity of the spin polaron picture in the disordered phase.Comment: 9 pages, 12 figure