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We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs) trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs experience a long-range soft-core interaction, giving rise to strong nearest and next-nearest neighbor interactions in the triple-well system. Using mean-field Gross-Pitaevskii (GP) equations, we show that lower branches of the eigenspectra exhibit loops and level-crossings when the soft-core interaction is strong. The direct level-crossings eliminate the possibility of adiabatic Landau-Zener transitions when tilting of the triple-well potential. We demonstrate that the long-range interaction allows for self-trapping in one, two, or three wells, in a far more controllable manor than BECs with short-range or dipolar interactions. Exact quantum simulations of the three-well Bose-Hubbard model indicate that self-trapping and nonadiabatic transition can be observed with less than a dozen bosons. Our study is relevant to current research into collective excitation and nonlinear dynamics of Rydberg-dressed atoms., 13 pages, 12 figures

We investigate the dynamics of a three-dimensional Bose-Einstein condensate of ultracold atomic gases with a soft-core shape long-range interaction, which is induced by laser dressing the atoms to a highly excited Rydberg state. For a homogeneous condensate, the long-range interaction drastically alters the dispersion relation of the excitation, supporting both roton and maxon modes. Rotons are typically responsible for the creation of supersolids, while maxons are normally dynamically unstable in BECs with dipolar interactions. We show that maxon modes in the Rydberg-dressed condensate, on the contrary, are dynamically stable. We find that the maxon modes can be excited through an interaction quench, i.e. turning on the soft-core interaction instantaneously. The emergence of the maxon modes is accompanied by oscillations at high frequencies in the quantum depletion, while rotons lead to much slower oscillations. The dynamically stable excitation of the roton and maxon modes leads to persistent oscillations in the quantum depletion. Through a self-consistent Bogoliubov approach, we identify the dependence of the maxon mode on the soft-core interaction. Our study shows that maxon and roton modes can be excited dynamically and simultaneously by quenching Rydberg-dressed long-range interactions. This is relevant to current studies in creating and probing exotic states of matter with ultracold atomic gases., Comment: 10 pages, 8 figures

72 Background: Previously cancer follow-up was based in secondary care. Survivors were seen in overburdened clinics, receiving brief clinic appointments and limited holistic care. We have piloted a new community based model in prostate cancer survivors in order to reduce service load. Patients are discharged from clinic, and entered into a specially developed web based database. This reviews PSA results, triggers alerts, resulting in specialist nurses (CNS) bringing patients back to clinic. This is supplemented by an annual survivorship conference, where patients have access to heathcare professionals. Patients also have access to community based services including a newly built community centre for patients where they have access to a range of healthcare professionals, ranging from dieticians to psychologists. We present our results, and evaluate this model independently with Pickering Institute patient questionnaires distributed one month pre and post conference and focus groups to develop further recommendations for the programme. Methods: We have developed a team composed of a consultant urological lead, commissioners, a GP, a specialist nurse, patient representatives and an IT specialist. Patients were entered into this programme over the past 1 year (323 so far). Inclusion criteria specify patients must be: 2 years post radical prostatectomy (unrecordable PSA), 3 years post radical radiotherapy with/ without hormones or 3 years post brachytherapy (both with stable PSA) according to the Phoenix criteria. Results: Patients completed an outcome questionnaire before the conference and one month afterwards (55 in total). Perceived control pre-conference was 7.19, post conference 7.38. Concern pre-conference was 3.56, 3.46 post conference. Understanding pre-conference was 7.49, 7.85 post-conference. Focus Group Results: The advantages of community based follow up were having an approachable primary contact, speedy referral, saving time, money and stress over prolonged waits and brief hospital appointments. Conclusions: We discuss how the programme can be developed, including: PSA feedback, a buddying system, and how this can be put into use across other tumour sites and other specialities.