475 research outputs found

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    Research Councils UK (RCUK

    Influence of the Fermionic Exchange Symmetry beyond Pauli's Exclusion Principle

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    Pauli's exclusion principle has a strong impact on the properties of most fermionic quantum systems. Remarkably, the fermionic exchange symmetry implies further constraints on the one-particle picture. By exploiting those generalized Pauli constraints we derive a measure which quantifies the influence of the exchange symmetry beyond Pauli's exclusion principle. It is based on a geometric hierarchy induced by the exclusion principle constraints. We provide a proof of principle by applying our measure to a simple model. In that way, we conclusively confirm the physical relevance of the generalized Pauli constraints and show that the fermionic exchange symmetry can have an influence on the one-particle picture beyond Pauli's exclusion principle. Our findings provide a new perspective on fermionic multipartite correlation since our measure allows one to distinguish between static and dynamic correlations.Comment: title has been changed; very close to published versio

    Universal upper bounds on the Bose-Einstein condensate and the Hubbard star

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    For NN hard-core bosons on an arbitrary lattice with dd sites and independent of additional interaction terms we prove that the hard-core constraint itself already enforces a universal upper bound on the Bose-Einstein condensate given by Nmax=(N/d)(d−N+1)N_{max}=(N/d)(d-N+1). This bound can only be attained for one-particle states âˆŁÏ†âŸ©|\varphi\rangle with equal amplitudes with respect to the hard-core basis (sites) and when the corresponding NN-particle state âˆŁÎšâŸ©|\Psi\rangle is maximally delocalized. This result is generalized to the maximum condensate possible within a given sublattice. We observe that such maximal local condensation is only possible if the mode entanglement between the sublattice and its complement is minimal. We also show that the maximizing state âˆŁÎšâŸ©|\Psi\rangle is related to the ground state of a bosonic `Hubbard star' showing Bose-Einstein condensation.Comment: to appear in Phys. Rev.

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    Persistence of First-Generation Graduates of a Community College Healthcare Program

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    Many first-generation students (FGS) succumb to challenges and barriers and ultimately give up on their educational goals. Little is known about FGS who graduate and are successful in their discipline. The purpose of this qualitative study was to explore factors that influenced the persistence of FGS who graduated and are employed in the healthcare field. The theoretical framework consisted of experiential learning, identity development and environmental influence, and social cognitive career theories. The research questions focused on how FGS made decisions to graduate, interpreted their academic learning experiences, and perceived academic support received in the college environment. Data was collected from questionnaires designed by the researcher and emailed to 12 participants, and from college retention, enrollment, licensure, and safety and security reports. Data analysis involved open and axial coding and application of the NVivo software package, whereby 8 themes emerged. Findings indicated that (a) family support, mastering a skill, and challenges and academic successes supported FGS\u27 decisions to graduate; (b) inspiration, vocational interest, and self-awareness defined and described FGS\u27 academic learning experiences; and, (c) faculty and student engagement and environmental support revealed the academic support FGS received in the college environment. The study suggested ways in which the persistence of FGS in community college healthcare programs can be improved. Implications for future research into variables that influence the persistence of FGS were discussed. Improving the retention of FGS and widening the pool of community healthcare workers can impact positive social change by contributing to social welfare and economic development

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    Zooming out the microscope on cumulative cultural evolution: ‘Trajectory B’ from animal to human culture

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    It is widely believed that human culture originated in the appearance of Oldowan stone-tool production (circa 2.9 Mya) and a primitive but effective ability to copy detailed know-how. Cumulative cultural evolution is then believed to have led to modern humans and human culture via self-reinforcing gene-culture co-evolution. This outline evolutionary trajectory has come to be seen as all but self-evident, but dilemmas have appeared as it has been explored in increasing detail. Can we attribute even a minimally effective know-how copying capability to Oldowan hominins? Do Oldowan tools really demand know-how copying? Is there any other evidence that know-how copying was present? We here argue that this account, which we refer to as “Trajectory A”, may be a red herring, and formulate an alternative “Trajectory B” that resolves these dilemmas. Trajectory B invokes an overlooked group-level channel of cultural inheritance (the Social Protocell) whereby networks of cultural traits can be faithfully inherited and potentially undergo cumulative evolution, also when the underpinning cultural traits are apelike in not being transmitted via know-how copying (Latent Solutions). Since most preconditions of Trajectory B are present in modern-day Pan, Trajectory B may even have its roots considerably before Oldowan toolmaking. The cumulative build-up of networks of non-cumulative cultural traits is then argued to have produced conditions that both called for and afforded a gradual appearance of the ability to copy know-how, but considerably later than the Oldowan
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