共查询到18条相似文献,搜索用时 62 毫秒
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对囚禁在轴对称谐振势阱中的玻色凝聚气体,提出一种新的试探波函数,运用Gross-Pitaevskii(G-P)平均场能量泛函和变分的方法,得到玻色凝聚气体基态和单涡旋态波函数的解析表达式,并计算出凝聚原子的平均能量、原子云轴向和径向尺度比,以及产生单涡旋态的临界角速度等重要物理量与凝聚原子数N之间的关系.其结果与Dalfovo等人直接数值求解G-P方程所得到的结果相一致.
关键词:
玻色凝聚气体
G-P泛函
波函数
谐振势阱 相似文献
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李玉山 《原子与分子物理学报》2014,31(4):683-686
基于Thomas-Fermi半经典近似研究了谐振子势阱约束下任意维理想玻色气体的玻色-爱因斯坦凝聚(BEC).导出了玻色气体的BEC转变温度、基态粒子占据比例、内能和热容量等物理量的解析表达式,讨论了空间维度和谐振子势阱的影响.以二维和三维玻色系统为例,数值计算了上述热力学量,并与解析结果进行了对比,二者获得了较好的吻合. 相似文献
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李玉山 《原子与分子物理学报》2015,32(6)
基于Thomas-Fermi半经典近似方法研究了谐振子势阱约束下任意维理想玻色气体的玻色-爱因斯坦凝聚(BEC).导出了玻色气体的BEC转变温度、基态粒子占据比例、内能和热容量等物理量的解析表达式,讨论了空间维度和谐振子势阱的影响.以二维和三维玻色系统为例,数值计算了上述热力学量,并与解析结果进行了对比,二者获得了较好的吻合. 相似文献
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基于Gross-Pitaevskii(G-P)平均场能量泛函和变分方法,对囚禁在谐振势阱中的玻色凝聚气体,在T=0K时的基态波函数提出一种新解法.运用这一方法能得到基态波函数的解析表达式,求解出系统的化学势与凝聚原子数的关系等.其结果与Edwards和Dalfovo等人直接数值求解G-P方程所得到的结果相一致,并在Nas/a1大原子数N的极限条件下,与托马斯-费米近似模型的结论也趋向一致.该方法计算简单,而且能够进行解析处理.
关键词:
玻色凝聚气体
G-P泛函
谐振势阱
基态波函数 相似文献
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稀薄原子气体玻色-爱因斯坦凝聚近期研究进展简介 总被引:1,自引:0,他引:1
论述了自1999年涡旋态在稀薄碱金属原子气体的玻色-爱因斯坦凝聚体(BEC)中成功实现以来有关的BEC理论和实验研究的进展及作近期的部分探索,并介绍了相关的基本概念和理论。 相似文献
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谐振势阱中有弱相互作用的玻色爱因斯坦凝聚 总被引:5,自引:0,他引:5
应用数值计算的方法计算了谐振势阱中有弱相互作用的玻色气体凝聚的临界温度和基态占据库,计算结果表明,二者都随着散射长度的增大而减小;但与理想玻色气体相比仅差约0.4%。 相似文献
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在定义特征长度的基础上,应用Euler–MacLaurin公式,研究了理想玻色气体在三维简谐势阱中玻色-爱因斯坦凝聚的边界效应.结果表明:粒子的凝聚分数由于有限尺度和有限粒子数效应而减小,修正的凝聚分数和凝聚温度由于边界效应存在一个极大值,选择优化的最佳势阱参数,可以有效提高凝聚分数和凝聚温度;热容量的跃变存在边界效应和粒子数效应,选择合理的势阱参数时,热容量的跃变存在一个极小值.导出了简谐势阱中有限理想玻色气体的状态方程,揭示了压强的各向异性(或各向同性)取决于简谐势频率的各向异性(或各向同性). 相似文献
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Andrey Pereverzev 《Foundations of Physics Letters》2003,16(5):411-428
We argue that it may be possible to consistently explain the quantum measurement by assuming that the wave function is in one-to-one correspondence with objective physical reality and has no probabilistic interpretation. In the context of such approach we consider the model of a harmonic oscillator linearly coupled to a heat bath and treat the oscillator as the system being measured. Three classes of initial pure states for the bath are considered. Exact expressions for the average values and variances of the oscillator coordinate and momentum as functions of time are considered for each class of pure states. It is shown that these quantities exhibit different asymptotic behavior for different classes of initial states of the bath. In particular, if each mode of the bath is initially in a coherent state, then for an arbitrary initial state of the oscillator the variances of the oscillator coordinate and momentum asymptotically approach the same values as for a coherent state of the free oscillator, while the averages of coordinate and momentum show a Brownian-like behavior. We argue that such behavior shows several features of the quantum measurement and supports our interpretation of the wave function. 相似文献
12.
YongFang Li LiQing Ren RuiQiong Ma Xu Qiu Juan Liu Rong Fan ZhenXing Fu 《中国科学G辑(英文版)》2009,52(6):873-876
The transition of a two-level system driven by a linearly weak chirped pulse is studied. Under the first order perturbation
approximation, an analytical expression of the population probability is obtained, which is similar to the one describing
Fresnel diffraction by a straight edge. It is shown that the population oscillation results from the diffraction of quantum
wave function in time-domain.
Supported by the Natural Science Foundation of Shaanxi Province of China (Grant No. 2007A04) 相似文献
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Wigner function and the entanglement of a quantized Bessel-Gaussian vortex state of a quantized radiation field 下载免费PDF全文
A new kind of quantum non-Gaussian state with a vortex structure,termed a Bessel-Gaussian vortex state,is constructed,which is an eigenstate of the sum of squared annihilation operators a2+b2.The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indication of nonclassicality.It is also found that a quantized vortex state is always in entanglement.And a scheme for generating such quantized vortex states is proposed. 相似文献
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Wigner function and the entanglement of quantized Bessel—Gaussian vortex state of quantized radiation field 下载免费PDF全文
A new kind of quantum non-Gaussian state with vortex structure, termed Bessel-Gaussian vortex state, is constructed, which is an eigenstate of sum of squared annihilation operators a2 + b2. The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indication of nonclassicality. It is also found that quantized vortex state is always in entanglement. And a scheme for generating such quantized vortex states is proposed. 相似文献
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Quantum teleportation of one- and two-photon superposition states based on EPR entanglement of continuous-wave two-mode squeezed state is discussed. The fidelities of teleportation axe deduced for two different input quantum states. The dependence of the fidelity on the parameters of EPR entanglement and the gain of the classical channels are shown numerically. Comparing with the teleportation of Fock state and coherent state, it is pointed out that for given EPR entanglement and classical gain, the higher the nonclassicality of the input state, the lower the accessible fidelity of teleportation. 相似文献
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T. R. Mongan 《General Relativity and Gravitation》2003,35(4):685-688
In a simple quantum cosmological model involving eleven dimensional space-time, an extended holographic conjecture suggests the nuclear force must be about forty orders of magnitude stronger than gravity. An interpretation of the wave function of the universe in this model is also proposed. 相似文献