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Macroscopic squeezing in Bose-Einstein condensate

机译:Bose-Einstein冷凝水的宏观压缩

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摘要

We study the ground state of a uniform Bose gas at zero temperature in the Hartree-Fock-Bogoliubov (HFB) approximation. We find a solution of the HFB equations which obeys the Hugenholtz-Pines theorem. This solution imposes a macroscopic squeezing to the condensed state and as a consequence displays large particle number fluctuations. Particle number conservation is restored by building the appropriate U(1) invariant ground state via the superposition of the squeezed states. The condensed particle number distribution of this new ground state is calculated as well as its fluctuations which present a normal behavior. [References: 22]
机译:我们以Hartree-Fock-Bogoliubov(HFB)近似研究零温度下均匀Bose气体的基态。我们找到了遵循Hugenholtz-Pines定理的HFB方程的解。该解决方案施加了宏观压缩至冷凝状态,因此显示出大的颗粒数波动。通过压缩状态的叠加来构建适当的U(1)不变基态,可以恢复粒子数守恒。计算出该新基态的凝聚粒子数分布及其波动,该波动表现为正常行为。 [参考:22]

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