Entanglement negativity in the harmonic chain out of equilibrium

We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly and the logarithmic negativity is calculated between two adjacent segments of the chain. We find that, for low temperatures, the steady-state entanglement is a sum of contributions pertaining to left-and right-moving excitations emitted from the two reservoirs. In turn, the steady-state entanglement is a simple average of the Gibbs-state values and thus its scaling can be obtained from conformal field theory. A similar averaging behaviour is observed during the entire time evolution. As a particular case, we also discuss a local quench where both sides of the chain are initialized in their respective ground states.

We can work it out: an enactive look at cooperation

The past years have seen an increasing debate on cooperation and its unique human character. Philosophers and psychologists have proposed that cooperative activities are characterized by shared goals to which participants are committed through the ability to understand each other’s intentions. Despite its popularity, some serious issues arise with this approach to cooperation. First, one may challenge the assumption that high-level mental processes are necessary for engaging in acting cooperatively. If they are, then how do agents that do not possess such ability (preverbal children, or children with autism who are often claimed to be mind-blind) engage in cooperative exchanges, as the evidence suggests? Secondly, to define cooperation as the result of two de-contextualized minds reading each other’s intentions may fail to fully acknowledge the complexity of situated, interactional dynamics and the interplay of variables such as the participants’ relational and personal history and experience. In this paper we challenge such accounts of cooperation, calling for an embodied approach that sees cooperation not only as an individual attitude toward the other, but also as a property of interaction processes. Taking an enactive perspective, we argue that cooperation is an intrinsic part of any interaction, and that there can be cooperative interaction before complex communicative abilities are achieved. The issue then is not whether one is able or not to read the other’s intentions, but what it takes to participate in joint action. From this basic account, it should be possible to build up more complex forms of cooperation as needed. Addressing the study of cooperation in these terms may enhance our understanding of human social development, and foster our knowledge of different ways of engaging with others, as in the case of autism.

Errugbiko line-out jaurtiketaren abiaduren analisia eta jaurtitzaileen potentzia eta zehaztasunaren arteko erlazioa.

Hurrengo ikerketan errugbiko line out baten jaurtiketaren abiaduraren analisia eta jaukitzaileen baloia abiadura altuan jaurtitzeko ahalmena, zehaztasunarekin ikertuko da. Hamazortzi eta hogeita bi urte tarteko errugbi jokalariak egin zituzten frogak, partaideak froga bakarra egin zuten denboraldiaren hasieran, aurre-denboraldiaren amaieran. Jokalarien arteko konparaketa egin zen. Ikertuko diren aldagarriak, eta jaurtitzaileen ahalmena neurtzen dutenak hurrengoak dira: abiadura eta zehaztasuna. bi abiadura ezberdin kalkulatu egin dira, bata helburu zehatz batekin eta bestea helburu zehatzik gabe, horrela potentzia guztia ikusi ahal izateko. Bi abiadurak konparatuz beste aldagarri bat atera da, %galera izenekoa, aldagarri onek bi abiaduraren arteko ezberdintasuna adierazten du.