We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is dete...We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is determined by minimizing the Lagrange density,and the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived.Then,two low energy excitation modes in breathing dynamics and dipole dynamics are obtained analytically,and the mechanism of exciting the anharmonic collective dynamics is revealed explicitly.The coupling among spin-orbit coupling,Raman coupling and spin-dependent interaction results in multiple external collective modes,which leads to the anharmonic collective dynamics.The cooperative effect of spin momentum locking and spin-dependent interaction results in coupling of dipolar and breathing dynamics,which strongly depends on spin-dependent interaction and behaves distinct characters in different phases.Interestingly,in the absence of spin-dependent interaction,the breathing dynamics is decoupled from spin dynamics and the breathing dynamics is harmonic.Our results provide theoretical evidence for deep understanding of the ground sate phase transition and the nonlinear collective dynamics of the system.展开更多
目的探讨“1+N”4C模式在糖尿病周围神经病变患者延续护理中的应用价值。方法选取2022年1月至10月在我科接受治疗的60例糖尿病周围神经病变患者,以随机数字表法将其分为对照组(30例,常规延续护理)和观察组(30例,“1+N”4C模式延续护理)...目的探讨“1+N”4C模式在糖尿病周围神经病变患者延续护理中的应用价值。方法选取2022年1月至10月在我科接受治疗的60例糖尿病周围神经病变患者,以随机数字表法将其分为对照组(30例,常规延续护理)和观察组(30例,“1+N”4C模式延续护理)。比较两组的干预效果。结果干预后,观察组的空腹血糖(FBG)、餐后2 h血糖(2 h PG)水平及糖化血红蛋白(HbA1c)均低于对照组(P<0.05)。观察组的健康教育知晓率高于对照组(P<0.05)。干预后,观察组的感觉神经传导速度(SNCV)、运动神经传导速度(MNCV)高于对照组(P<0.05)。干预后,观察组的生活质量综合评定问卷-74(GQOLI-74)各维度评分均高于对照组(P<0.05)。结论“1+N”4C模式用于糖尿病周围神经病变患者延续护理中能提高血糖控制效果和健康教育知晓率,改善神经传导速度,提升患者生活质量。展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.12164042,12264045,11764039,11475027,11865014,12104374,and 11847304)the Natural Science Foundation of Gansu Province(Grant Nos.17JR5RA076 and 20JR5RA526)+2 种基金the Scientific Research Project of Gansu Higher Education(Grant No.2016A-005)the Innovation Capability Enhancement Project of Gansu Higher Education(Grant Nos.2020A-146 and 2019A-014)the Creation of Science and Technology of Northwest Normal University(Grant No.NWNU-LKQN-18-33)。
文摘We study analytically and numerically the nonlinear collective dynamics of quasi-one-dimensional spin-orbit coupled spin-1 Bose-Einstein condensates trapped in harmonic potential.The ground state of the system is determined by minimizing the Lagrange density,and the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived.Then,two low energy excitation modes in breathing dynamics and dipole dynamics are obtained analytically,and the mechanism of exciting the anharmonic collective dynamics is revealed explicitly.The coupling among spin-orbit coupling,Raman coupling and spin-dependent interaction results in multiple external collective modes,which leads to the anharmonic collective dynamics.The cooperative effect of spin momentum locking and spin-dependent interaction results in coupling of dipolar and breathing dynamics,which strongly depends on spin-dependent interaction and behaves distinct characters in different phases.Interestingly,in the absence of spin-dependent interaction,the breathing dynamics is decoupled from spin dynamics and the breathing dynamics is harmonic.Our results provide theoretical evidence for deep understanding of the ground sate phase transition and the nonlinear collective dynamics of the system.
文摘目的探讨“1+N”4C模式在糖尿病周围神经病变患者延续护理中的应用价值。方法选取2022年1月至10月在我科接受治疗的60例糖尿病周围神经病变患者,以随机数字表法将其分为对照组(30例,常规延续护理)和观察组(30例,“1+N”4C模式延续护理)。比较两组的干预效果。结果干预后,观察组的空腹血糖(FBG)、餐后2 h血糖(2 h PG)水平及糖化血红蛋白(HbA1c)均低于对照组(P<0.05)。观察组的健康教育知晓率高于对照组(P<0.05)。干预后,观察组的感觉神经传导速度(SNCV)、运动神经传导速度(MNCV)高于对照组(P<0.05)。干预后,观察组的生活质量综合评定问卷-74(GQOLI-74)各维度评分均高于对照组(P<0.05)。结论“1+N”4C模式用于糖尿病周围神经病变患者延续护理中能提高血糖控制效果和健康教育知晓率,改善神经传导速度,提升患者生活质量。