Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction

We study asymptotically and numerically the fundamental gaps (i.e. the difference between the first excited state and the ground state) in energy and chemical potential of the Gross-Pitaevskii equation (GPE) -- nonlinear Schrodinger equation with cubic nonlinearity -- with repulsive interaction under different trapping potentials including box potential and harmonic potential. Based on our asymptotic and numerical results, we formulate a gap conjecture on the fundamental gaps in energy and chemical potential of the GPE on bounded domains with the homogeneous Dirichlet boundary condition, and in the whole space with a convex trapping potential growing at least quadratically in the far field. We then extend these results to the GPE on bounded domains with either the homogeneous Neumann boundary condition or periodic boundary condition.Comment: 26 pages, 16 figure

Going back to its roots: can hospitableness provide hotels competitive advantage over the sharing economy?

While the customer experience is at the heart of the hospitality industry, experience-related research remains underrepresented. This gap is critical, particularly given the emerging threat of the sharing economy to the hotel industry along experiential factors. Using data from a survey of 630 customers who stayed at a hotel or an Airbnb, the authors use structural equation modeling to compare two models with alternative conceptualizations of the dynamics of experiential consumption in the accommodations industry. Building on the concept of the experiencescape from the branding and hospitality and tourism literatures, the model enhances Pine and Gilmore’s (1998) original experience economy construct by demonstrating the critical role of the dimension of hospitableness in facilitating favorable experiential and brand-related outcomes, particularly in the context of the hotel experience. The findings have important implications for the hotel industry’s strategic experience design initiatives and emphasize the need to use hospitableness in order to create a competitive advantage in a rapidly changing environment.Accepted manuscrip