Abstract
For spin-1 condensates, the spatial degrees of freedom can be considered as being frozen at temperature zero, while the spin-degrees of freedom remain free. Under this condition, the entanglement entropy has been derived exactly with an analytical form. The entanglement entropy is found to decrease monotonically with the increase of the magnetic polarization as expected. However, for the ground state in polar phase, an extremely steep fall of the entropy is found when the polarization emerges from zero. Then the fall becomes a gentle descent after the polarization exceeds a turning point.
Highlights
Entanglement is a curiosity in quantum world
The technology for trapping the cold atoms is one of the most important progress in physics in recent years. This technology leads to the realization of man-made systems, namely, various Bose-Einstein condensates (BEC), and opens a very broad field of research promising in application [3,4,5,6,7,8]
Since these man-made systems are controllable, they can be used as analogs of other many-body systems to reveal the underlying physics
Summary
Entanglement is a curiosity in quantum world. This topic is interesting in the academic aspect, and possesses profound potential in application (e.g., in quantum communication) [1,2]. The technology for trapping the cold atoms is one of the most important progress in physics in recent years This technology leads to the realization of man-made systems, namely, various Bose-Einstein condensates (BEC), and opens a very broad field of research promising in application [3,4,5,6,7,8]. Since these man-made systems are controllable, they can be used as analogs of other many-body systems to reveal the underlying physics.
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