What do researchers do? Career profiles of doctoral graduates

Research Councils UK (RCUK

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

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

For $N$ hard-core bosons on an arbitrary lattice with $d$ 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 $N_{max}=(N/d)(d-N+1)$. This bound can only be attained for one-particle states $|\varphi\rangle$ with equal amplitudes with respect to the hard-core basis (sites) and when the corresponding $N$-particle state $|\Psi\rangle$ 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 $|\Psi\rangle$ is related to the ground state of a bosonic `Hubbard star' showing Bose-Einstein condensation.Comment: to appear in Phys. Rev.

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

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

Solving nonlinear differential equations on Quantum Computers: A Fokker-Planck approach

For quantum computers to become useful tools to physicists, engineers and computational scientists, quantum algorithms for solving nonlinear differential equations need to be developed. Despite recent advances, the quest for a solver that can integrate nonlinear dynamical systems with a quantum advantage, whilst being realisable on available (or near-term) quantum hardware, is an open challenge. In this paper, we propose to transform a nonlinear dynamical system into a linear system, which we integrate with quantum algorithms. Key to the method is the Fokker-Planck equation, which is a non-normal partial differential equation. Three integration strategies are proposed: (i) Forward-Euler stepping by unitary block encoding; (ii) Schroedingerisation, and (iii) Forward-Euler stepping by linear addition of unitaries. We emulate the integration of prototypical nonlinear systems with the proposed quantum solvers, and compare the output with the benchmark solutions of classical integrators. We find that classical and quantum outputs are in good agreement. This paper opens opportunities for solving nonlinear differential equations with quantum algorithms