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Dynamical and Geometric Phases of a Two Energy-Level Bose-Einstein Condensate Interacting with a Laser Field

于肇贤, 焦志勇, 金硕 +1 more

由不变的理论使用，我们学习与一块时间依赖者激光地交往的二精力级的 Bose-Einsteincondensate，动态、几何的阶段 aregiven 分别地。Aharonov-Anandan 阶段也在轮转的进化下面被获得。

Chinese Physics LettersJan 1, 20070 citations

Phase-dependent spontaneous spin polarization and bifurcation delay in coupled two-component Bose-Einstein condensates (6 pages)

Long Shi, Chaohong Lee, Kaige Gao +1 more

Physical Review AJan 1, 20040 citations

Phase transition in a Rabi coupled two-component Bose–Einstein condensate

Amandine Aftalion, Christos Sourdis

arXiv:1812.00618Nonlinear AnalysisApr 12, 20192 citations

Self-Trapping of Two Bose-Einstein Condensates with a Coupling Drive

邱建国

我们在场有联合开车的人口不平衡 oftwo 部件 Bose 爱因斯坦冷凝物的一个近似分析答案。时间进化的依赖在收音机频率波浪之上自我套住联合在二冷凝物之间的频率，起始的原子数字和相对阶段的 Rabi 被调查。在冷凝物之间的更低的收音机频率波浪，一样的原子数字和起始的相对阶段对观察套住 theself 有益。

Chinese Physics LettersJan 1, 20060 citations

Phase of Two-Component Bose–Einstein Condensates with a Coupling Drive

Zhao-Xian Yu, Shuo Jin, Jiao Zhi-Yong +1 more

By using the invariant theory, we study the phases of two-component Bose–Einstein condensates with a coupling drive under the case that the strength of the interatomic interaction in each condensate equals the interspecies interaction. The dynamical and geometric phases are presented respectively. The Aharonov–Anandan phase is also obtained under the cyclical evolution.

Communications in Theoretical PhysicsMay 1, 20070 citations

Anomalous Trajectory Drift and Geometric Phases of Cyclic Spinor Solitons Induced by Virtual Magnetic Monopoles

Wu, Ruo-Yun, Ning Mao, Xiaolin Li +2 more

We investigate the dynamics of a two-component Bose-Einstein condensate with spin-orbit coupling numerically and analytically. Under the drive of a weak segmented rotational external field, we observe that the system exhibits cyclic soliton motion; however, in contrast to the predictions of quasi-particle theory, the trajectory of the soliton center shows a distinct drift. The underlying mechanism of this anomalous drift is revealed: the moving soliton experiences a Lorentz force induced by a virtual magnetic monopole field in momentum space. We further calculate the phase evolution of the soliton during this cyclic motion and find that its geometric component comprises both an adiabatic Berry phase and a nonadiabatic Aharonov-Anandan phase. Notably, the Berry phase can be expressed in terms of the magnetic flux of the aforementioned virtual monopole field. Our findings hold implications for geometric phase theory and experiments on two-component Bose-Einstein condensates, and may establish a novel link between quantum geometry and soliton dynamics.We investigate the dynamics of a two-component Bose-Einstein condensate with spin-orbit coupling numerically and analytically. Under the drive of a weak segmented rotational external field, we observe that the system exhibits cyclic soliton motion; however, in contrast to the predictions of quasi-particle theory, the trajectory of the soliton center shows a distinct drift. The underlying mechanism of this anomalous drift is revealed: the moving soliton experiences a Lorentz force induced by a virtual magnetic monopole field in momentum space. We further calculate the phase evolution of the soliton during this cyclic motion and find that its geometric component comprises both an adiabatic Berry phase and a nonadiabatic Aharonov-Anandan phase. Notably, the Berry phase can be expressed in terms of the magnetic flux of the aforementioned virtual monopole field. Our findings hold implications for geometric phase theory and experiments on two-component Bose-Einstein condensates, and may establish a novel link between quantum geometry and soliton dynamics.

arXiv:2509.13800Sep 17, 20250 citations

Phase of Two-Component Bose-Einstein Condensates with a Coupling Drive

Abstract

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Phase of Two-Component Bose-Einstein Condensates with a Coupling Drive

Abstract

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