Beyond Gross-Pitaevskii Mean Field Theory

A large number of effects related to the phenomenon of Bose-Einstein Condensation (BEC) can be understood in terms of lowest order mean field theory, whereby the entire system is assumed to be condensed, with thermal and quantum fluctuations completely ignored. Such a treatment leads to the Gross-Pitaevskii Equation (GPE) used extensively throughout this book. Although this theory works remarkably well for a broad range of experimental parameters, a more complete treatment is required for understanding various experiments, including experiments with solitons and vortices. Such treatments should include the dynamical coupling of the condensate to the thermal cloud, the effect of dimensionality, the role of quantum fluctuations, and should also describe the critical regime, including the process of condensate formation. The aim of this Chapter is to give a brief but insightful overview of various recent theories, which extend beyond the GPE. To keep the discussion brief, only the main notions and conclusions will be presented. This Chapter generalizes the presentation of Chapter 1, by explicitly maintaining fluctuations around the condensate order parameter. While the theoretical arguments outlined here are generic, the emphasis is on approaches suitable for describing single weakly-interacting atomic Bose gases in harmonic traps. Interesting effects arising when condensates are trapped in double-well potentials and optical lattices, as well as the cases of spinor condensates, and atomic-molecular coupling, along with the modified or alternative theories needed to describe them, will not be covered here.Comment: Review Article (19 Pages) - To appear in 'Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment', Edited by P.G. Kevrekidis, D.J. Frantzeskakis and R. Carretero-Gonzalez (Springer Verlag

Organizational Support and Contract Fulfillment as Moderators of the Relationship Between Preferred Work Status and Performance

Purpose The purpose of this study was to examine organizational context variables as moderators of the relationship between preferred work status and job performance. The moderators were perceived organizational support (POS) and psychological contract fulfillment. Design/Methodology/Approach Survey data was collected from 164 participants working in a health and fitness organization. These participants ranged in age from 18 to 79 years old (M = 40, SD = 12.5) and held various positions including middle managers, clerical workers, maintenance workers, and sports trainers. Findings The relationship between preferred work status and extra-role performance was negative when POS was higher but not when POS was lower. Also, the relationship between preferred work status and extra-role performance was positive when contract fulfillment was lower but not when it was higher. No moderating effects were found when examining in-role performance. Implications Given the large and growing use of part-time workers it is important to understand differences across various subgroups of them in order to better inform human resource policies and practices. Specifically, the results highlight a key role for the management of reciprocity perceptions. Originality/Value The literature on part-time workers suggests there are important differences between employees who work part-time because they prefer it and those who work part-time but prefer to work full-time. Research regarding the relationship between preferred work status and performance has produced mixed results. This study helps reconcile conflicting results regarding the relationship between preferred work status and performance by examining the moderating effects of theoretically relevant variables