Phase Fluctuations and Coherence of an Almost Ideal Condensate

L. P. Pitaevskii; S. Stringari

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Phase Fluctuations and Coherence of an Almost Ideal Condensate

机译：几乎理想的冷凝物的相变和相干性

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The quantum description of a Bose-Einstein condensates in double-well traps connected by a Josephson junction is discussed. The quantization in terms of the number and phase canonically-conjugated operators gives correct energy levels, but results in finite phase fluctuations in the absence of interaction. This seems to contradict the perfect coherence of a system of non-interacting particles. The problem can be solved by calculating the observables that characterize the coherence properties of a system, as, for example, the momentum distribution. It occurs that the visibility of interference fringes depends both on the fluctuations of the phase and the number of atoms. The visibility is calculated in the limit of small interaction and the results exhibit the correct behavior.

机译：讨论了由约瑟夫森结连接的双阱陷阱中的玻色-爱因斯坦凝聚物的量子描述。就数量和相位的典型共轭算符而言，量化给出了正确的能级，但是在没有相互作用的情况下导致了有限的相位波动。这似乎与非相互作用粒子系统的完美相干性相矛盾。该问题可以通过计算表征系统相干性的可观测值（例如动量分布）来解决。会出现干涉条纹的可见性取决于相的波动和原子数。可见性是在较小的交互作用范围内计算的，结果显示正确的行为。

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《Annales Henri Poincare》 |2003年第2期|共5页
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L. P. Pitaevskii; S. Stringari;
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1. Phase Fluctuations and Coherence of an Almost Ideal Condensate [J] . L. P. Pitaevskii, S. Stringari Annales Henri Poincare . 2003,第Suppla2期

机译：几乎理想的冷凝物的相变和相干性
2. Condensation of N bosons. III. Analytical results for all higher moments of condensate fluctuations in interacting and ideal dilute Bose gases via the canonical ensemble quasiparticle formulation - art. no. 053606 [J] . Kocharovsky VV., Scully MO. Physical Review, A. Atomic, molecular, and optical physics . 2000,第5期

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3. Gibbs Paradox, Liquid Phase as an Alternative to the Bose Condensate, and Homogeneous Mixtures of New Ideal Gases* [J] . V. P. Maslov Mathematical notes . 2011,第3a4期

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4. MOMENTUM SPECTROSCOPY OF PHASE FLUCTUATIONS OF AN ELONGATED BOSE-EINSTEIN CONDENSATE [C] . A. ASPECT, S. RICHARD, F. GERBIER, Laser Spectroscopy . 2004

机译：加长的玻色-爱因斯坦凝聚物的相态波动动量谱
5. Phase Coherence of Two-Component Bose-Einstein Condensates Loaded in State-Dependent Optical Lattices. [D] . Shim, Hyunoo. 2011

机译：状态依赖的光学格子中加载的两组分玻色-爱因斯坦凝聚物的相干性。
6. Active control on high-order coherence and statistic characterization on random phase fluctuation of two classical point sources [O] . Peilong Hong, Liming Li, Jianji Liu, -1

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7. Fluctuations in Ideal and Interacting Bose-Einstein Condensates: From the laser phase transition analogy to squeezed states and Bogoliubov quasiparticles [O] . Kocharovsky, Vitaly V., Kocharovsky, Vladimir V., Holthaus, Martin, 2006

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Phase Fluctuations and Coherence of an Almost Ideal Condensate

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