We consider two pointlike static impurities without direct interaction immersed in a three-dimensional Bose–Einstein condensate(BEC)at zero temperature.By solving the Gross–Pitaevskii(GP)equation in a perturbative m...We consider two pointlike static impurities without direct interaction immersed in a three-dimensional Bose–Einstein condensate(BEC)at zero temperature.By solving the Gross–Pitaevskii(GP)equation in a perturbative manner,we calculate the ground state energy in the region where the atom–impurity interaction is assumed to be weak.We obtain an analytical expression for the spatial distribution of atom number density and the effective force between these two impurities.The effective force is found to be closely related to the strength of the atom–impurity interaction and the relative distance between these two impurities.Two critical relative distances are found between the two impurities.The first one corresponds to the vanishing of the perturbed energy with impurities,although the effective force between the two impurities still exists.At the second critical value,the energy of the impurities changes linearly with the atom–impurity interaction;otherwise,it changes quadratically with the atom–impurity interaction.展开更多
Using the Bose-Fermi mapping method,we obtain the exact ground state wavefunction of one-dimensional(1D)Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit.Its ground s...Using the Bose-Fermi mapping method,we obtain the exact ground state wavefunction of one-dimensional(1D)Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit.Its ground state density distributions for both repulsive and attractive dipole interactions are exhibited.It is shown that in the case of the finite dipole interaction the density profiles do not change obviously with the increase of dipole interaction and display the typical shell structure of Tonks-Girardeau gases.As the repulsive dipole interaction is greatly strong,the density decreases at the center of the trap and displays a sunken valley.As the attractive dipole interaction increases,the density displays more oscillations and sharp peaks appear in the strong attraction limit,which mainly originate from the atoms occupying the low single particle levels.展开更多
By numerical propagation of the coupled Gross–Pitaevskii equations, the ground state phase of a SU(3) spin–orbit coupled Bose gas with nonlocal soft-core interactions has been investigated within the all parameter s...By numerical propagation of the coupled Gross–Pitaevskii equations, the ground state phase of a SU(3) spin–orbit coupled Bose gas with nonlocal soft-core interactions has been investigated within the all parameter space, showing strong dependence on the strength of SU(3) spin–orbit coupling, nonlocal soft-core interactions, spin-exchange interactions and Rydberg blockade radius. More specially, we also perform a detailed study of the dependence of soft-core interaction on the Rydberg blockade radius at the point of rotational symmetry breaking. Our results show that under the combined effects of such parameters, the ground state shows a threefold-degenerate magnetized state for ferromagnetic spin interaction, while a variety of lattice phases for antiferromagnetic spin interaction.展开更多
We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the st...We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the stimulated Raman-induced photoassociation and square-optical-lattice potential.Stationary solutions of the coupled GPE system are obtained by means of the imaginary-time integration,while the temporal dynamics are simulated using the fourth-order Runge-Kutta algorithm.The analysis reveals stable rhombus-shaped VS shapes with topological charges m=1 and 2 of the atomic component.The stability domains and spatial structure of these VSs are governed by three key parameters:the parametric-coupling strength(χ),atomicmolecular interaction strength(g_(12)),and the optical-lattice potential depth(V_(0)).By varyingχand g_(12),we demonstrate a structural transition where four-core rhombus-shaped VSs evolve into eight-core square-shaped modes,highlighting the nontrivial nonlinear dynamics of the system.This work establishes a connection between interactions of cold atoms and topologically structured matter waves in hybrid quantum systems.展开更多
基金funding from the National Natural Science Foundation of China(Grant Nos.12174055 and 11674058)the Natural Science Foundation of Fujian(Grant No.2020J01195)funding from the National Natural Science Foundation of China(Grant No.12175027)。
文摘We consider two pointlike static impurities without direct interaction immersed in a three-dimensional Bose–Einstein condensate(BEC)at zero temperature.By solving the Gross–Pitaevskii(GP)equation in a perturbative manner,we calculate the ground state energy in the region where the atom–impurity interaction is assumed to be weak.We obtain an analytical expression for the spatial distribution of atom number density and the effective force between these two impurities.The effective force is found to be closely related to the strength of the atom–impurity interaction and the relative distance between these two impurities.Two critical relative distances are found between the two impurities.The first one corresponds to the vanishing of the perturbed energy with impurities,although the effective force between the two impurities still exists.At the second critical value,the energy of the impurities changes linearly with the atom–impurity interaction;otherwise,it changes quadratically with the atom–impurity interaction.
基金Project supported by the National Natural Science Foundation of China(Grant No.11174026)。
文摘Using the Bose-Fermi mapping method,we obtain the exact ground state wavefunction of one-dimensional(1D)Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit.Its ground state density distributions for both repulsive and attractive dipole interactions are exhibited.It is shown that in the case of the finite dipole interaction the density profiles do not change obviously with the increase of dipole interaction and display the typical shell structure of Tonks-Girardeau gases.As the repulsive dipole interaction is greatly strong,the density decreases at the center of the trap and displays a sunken valley.As the attractive dipole interaction increases,the density displays more oscillations and sharp peaks appear in the strong attraction limit,which mainly originate from the atoms occupying the low single particle levels.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 12175129, 12475004, 12175027, and 12005125)the Key Research Program of Frontier Sciences of the Chinese Academy of Sciences (Grant No. ZDBSLY7016)+3 种基金the Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSY034)the Key Research and Development Projects of Shaanxi Province, China (Grant No. 2024GX-YBXM-564)the Scientific Research Program Funded by Shaanxi Provincial Education Department (Grant No. 23JP020)the Youth Innovation Team of Shaanxi Universities。
文摘By numerical propagation of the coupled Gross–Pitaevskii equations, the ground state phase of a SU(3) spin–orbit coupled Bose gas with nonlocal soft-core interactions has been investigated within the all parameter space, showing strong dependence on the strength of SU(3) spin–orbit coupling, nonlocal soft-core interactions, spin-exchange interactions and Rydberg blockade radius. More specially, we also perform a detailed study of the dependence of soft-core interaction on the Rydberg blockade radius at the point of rotational symmetry breaking. Our results show that under the combined effects of such parameters, the ground state shows a threefold-degenerate magnetized state for ferromagnetic spin interaction, while a variety of lattice phases for antiferromagnetic spin interaction.
基金supported by the National Natural Science Foundation of China(Grant No.62275075)the Natural Science Foundation of Hubei Soliton Research Association(Grant No.2025HBSRA09)+1 种基金joint supported by Hubei Provincial Natural Science Foundation and Xianning of China(Grant Nos.2025AFD401 and 2025AFD405)Israel Science Foundation(Grant No.1695/22).
文摘We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the stimulated Raman-induced photoassociation and square-optical-lattice potential.Stationary solutions of the coupled GPE system are obtained by means of the imaginary-time integration,while the temporal dynamics are simulated using the fourth-order Runge-Kutta algorithm.The analysis reveals stable rhombus-shaped VS shapes with topological charges m=1 and 2 of the atomic component.The stability domains and spatial structure of these VSs are governed by three key parameters:the parametric-coupling strength(χ),atomicmolecular interaction strength(g_(12)),and the optical-lattice potential depth(V_(0)).By varyingχand g_(12),we demonstrate a structural transition where four-core rhombus-shaped VSs evolve into eight-core square-shaped modes,highlighting the nontrivial nonlinear dynamics of the system.This work establishes a connection between interactions of cold atoms and topologically structured matter waves in hybrid quantum systems.
