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HZhang
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It can be easily proved that Bose Einstein condensation can be got in infinite 2D. But what about finite 2D with extreme large "Volume" L^2 ?
Actually, you can't get BEC in an infinite 2D system. If the volume is finite, then you can get a coherence length greater than the size of the system, and have effective condensation. You can also constrain a 3D condensate so much along one direction that it behaves as an effective 2D condensate.HZhang said:It can be easily proved that Bose Einstein condensation can be got in infinite 2D. But what about finite 2D with extreme large "Volume" L^2 ?
Thank you very much. I should have typed cannot but somehow made a mistake.DrClaude said:Actually, you can't get BEC in an infinite 2D system. If the volume is finite, then you can get a coherence length greater than the size of the system, and have effective condensation. You can also constrain a 3D condensate so much along one direction that it behaves as an effective 2D condensate.
Bose Einstein condensation is a phenomenon that occurs in a system of bosons, where a large number of particles occupy the same quantum state at low temperatures. This results in the formation of a new state of matter, known as a Bose Einstein condensate.
In 2D finite space, Bose Einstein condensation occurs when the bosons are confined to a two-dimensional plane and are cooled to a temperature where they begin to occupy the lowest energy state. This leads to the formation of a 2D Bose Einstein condensate.
A Bose Einstein condensate in 2D finite space has unique properties, including superfluidity, where it can flow without any resistance, and coherence, where all the particles are in phase with each other. It also exhibits quantized vortices and interference patterns, similar to those observed in 3D Bose Einstein condensates.
Bose Einstein condensation in 2D finite space has potential applications in quantum computing, as the coherence and controllability of the condensate make it a promising candidate for storing and manipulating quantum information. It also has potential uses in precision measurements and atomic clocks.
Yes, Bose Einstein condensation can occur in other dimensions besides 2D and 3D, such as in 1D nanotubes or in higher dimensions in certain systems. The properties and behavior of the condensate may vary depending on the dimensionality of the system.