Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Quantum Correlation of Many Atoms in Spinor Bose–Einstein Condensates

Zhao-Xian Yu, Liang Jiu-Qing, Jiao Zhi-Yong

Published Feb 1, 2006• 1 citation
Publisher

Abstract

In this letter, we have studied sub-Poissonian distributions and quantum correlation of atoms in spinor Bose–Einstein condensates. It is found that there exists the sub-Poissonian distributions for spin-1 and spin-(-1) components, respectively. There may exist the violation of the Cauchy–Schwartz inequality. For the same atomic numbers, the regions that include violation of the Cauchy–Schwartz inequality will shift rightwards with the increment of the Rabi frequency, whereas for the same Rabi frequency, the regions will shift leftwards with the increment of the atomic numbers.

DOI
10.1088/0253-6102/45/2/020

Related papers

Quantum Correlation of Many Atoms in Spinor Bose-Einstein Condensates

Yu, Zhao-Xian, Liang Liang +3 more

在这个字母，我们在旋量 Bose 爱因斯坦冷凝物学习了 sub-Poissonian 分布和原子的量关联。在那里存在，这被发现为 spin-1 和旋转的 thesub-Poissonian 分布 --(-1) 部件分别地。可以在那里存在 Cauchy-Schwartz 不平等的违背。为一样的原子序数，，包括 Cauchy-Schwartz 不平等的违背的区域将为一样的 Rabi 频率与 Rabifrequency 的增长转移向右，这些区域将与原子序数的增长转移 leftwards。

理论物理通讯：英文版•Jan 1, 2006•0 citations

Quantum Statistical Properties in Two-Species Bose–Einstein Condensates

Zhao-Xian Yu, Weigang Zhang

We have studied quantum statistical properties in a zero-temperature two-species Bose–Einstein condensate system in the presence of the nonlinear self-interaction of each species, the interspecies nonlinear interaction, and the Josephson-like tunneling interaction. It is found that the two condensates may periodically exhibit sub-Poissonian distribution. It is revealed that the correlation between the two condensates can be nonclassical, which means that there exists a violation of Cauchy–Schwartz inequality. The nonclassical effect about the correlation between the two condensates can be realized experimentally by properly preparing the total number of atoms in the two condensates.

Communications in Theoretical Physics•Jan 15, 2002•2 citations

Quantum Statistical Behaviors of Interaction of an Atomic Bose–Einstein Condensate with Laser

Zhao-Xian Yu, Jiao Zhi-Yong

We have investigated quantum statistical behaviors of photons and atoms in interaction of an atomic Bose–Einstein condensate with quantized laser field. When the quantized laser field is initially prepared in a superposition state which exhibits holes in its photon-number distribution, while the atomic field is initially in a Fock state, it is found that there is energy exchange between photons and atoms. For the input and output states, the photons and atoms may exhibit the sub-Poissonian distribution. The input and output laser fields may exhibit quadrature squeezing, but for the atomic field, only the output state exhibits quadrature squeezing. It is shown that there exists the violation of the Cauchy–Schwartz inequality, which means that the correlation between photons and atoms is nonclassical.

Communications in Theoretical Physics•Oct 15, 2001•10 citations

Quantum Statistical Behaviors of Interaction of an Atomic Bose-Einstein Condensate with Laser

Yu Yu, Zhao-Xian, Jiao +1 more

We have investigated quantum statistical behaviors of photons and atoms in interaction of an atomic Bose Einstein condensate with quantized laser field. When the quantized laser field is initially prepared in a superposition state which exhibits holes in its photon-number distribution, while the atomic field is initially in a Fock state, it is found that there is energy exchange between photons and atoms. For the input and output states, the photons and atoms may exhibit the sub-Poissonian distribution. The input and output laser fields may exhibit quadrature squeezing, but for the atomic field, only the output state exhibits quadrature squeezing. It is shown that there exists the violation of the Cauchy-Schwartz inequality, which means that the correlation between photons and atoms is nonclassical.``

理论物理通讯：英文版•Jan 1, 2001•0 citations

Quantum Effects of Many Atoms in Spinor Bose–Einstein Condensates

Zhao-Xian Yu, Liang Jiu-Qing, Jiao Zhi-Yong

We have studied the evolutions of the population transfer, tunnelling current and antibunching effects between spin-(+1) and spin-(-1) in the case of the strong laser pulses. It is found that the population transfer and tunnelling current exhibit periodical oscillation. For the same Rabi frequency, the larger the atom number, the longer the oscillation period is. For the spin-(-1) component, when the atomic numbers are N = 4 and 10, the antibunching effect can appear. For different atomic numbers, the appearing regions are very different. For spin component +1, the antibunching effect can always appear for different atomic numbers.

Chinese Physics Letters•Jul 21, 2006•1 citation

Strong Quantum Spin Correlations Observed in Atomic Spin Mixing

Eva Bookjans, Christopher D. Hamley, Michael Chapman

We have observed sub-Poissonian spin correlations generated by collisionally induced spin mixing in a spin-1 Bose-Einstein condensate. We measure a quantum noise reduction of $\ensuremath{-}7\text{ }\text{ }\mathrm{dB}$ ($\ensuremath{-}10\text{ }\text{ }\mathrm{dB}$ corrected for detection noise) below the standard quantum limit for the corresponding coherent spin states. The spin fluctuations are detected as atom number differences in the spin states using fluorescent imaging that achieves a detection noise floor of 8 atoms per spin component for a probe time of $100\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$.

arXiv:1109.2185•Physical Review Letters•Nov 18, 2011•73 citations
In this letter, we have studied sub-Poissonian distributions and quantum correlation of atoms in spinor Bose–Einstein condensates. It is found that there exists the sub-Poissonian distributions for spin-1 and spin-(-1) components, respectively. There may exist the violation of the Cauchy–Schwartz inequality. For the same atomic numbers, the regions that include violation of the Cauchy–Schwartz inequality will shift rightwards with the increment of the Rabi frequency, whereas for the same Rabi frequency, the regions will shift leftwards with the increment of the atomic numbers.
We have studied quantum statistical properties in a zero-temperature two-species Bose–Einstein condensate system in the presence of the nonlinear self-interaction of each species, the interspecies nonlinear interaction, and the Josephson-like tunneling interaction. It is found that the two condensates may periodically exhibit sub-Poissonian distribution. It is revealed that the correlation between the two condensates can be nonclassical, which means that there exists a violation of Cauchy–Schwartz inequality. The nonclassical effect about the correlation between the two condensates can be realized experimentally by properly preparing the total number of atoms in the two condensates.
We have investigated quantum statistical behaviors of photons and atoms in interaction of an atomic Bose–Einstein condensate with quantized laser field. When the quantized laser field is initially prepared in a superposition state which exhibits holes in its photon-number distribution, while the atomic field is initially in a Fock state, it is found that there is energy exchange between photons and atoms. For the input and output states, the photons and atoms may exhibit the sub-Poissonian distribution. The input and output laser fields may exhibit quadrature squeezing, but for the atomic field, only the output state exhibits quadrature squeezing. It is shown that there exists the violation of the Cauchy–Schwartz inequality, which means that the correlation between photons and atoms is nonclassical.
We have investigated quantum statistical behaviors of photons and atoms in interaction of an atomic Bose Einstein condensate with quantized laser field. When the quantized laser field is initially prepared in a superposition state which exhibits holes in its photon-number distribution, while the atomic field is initially in a Fock state, it is found that there is energy exchange between photons and atoms. For the input and output states, the photons and atoms may exhibit the sub-Poissonian distribution. The input and output laser fields may exhibit quadrature squeezing, but for the atomic field, only the output state exhibits quadrature squeezing. It is shown that there exists the violation of the Cauchy-Schwartz inequality, which means that the correlation between photons and atoms is nonclassical.``
We have studied the evolutions of the population transfer, tunnelling current and antibunching effects between spin-(+1) and spin-(-1) in the case of the strong laser pulses. It is found that the population transfer and tunnelling current exhibit periodical oscillation. For the same Rabi frequency, the larger the atom number, the longer the oscillation period is. For the spin-(-1) component, when the atomic numbers are N = 4 and 10, the antibunching effect can appear. For different atomic numbers, the appearing regions are very different. For spin component +1, the antibunching effect can always appear for different atomic numbers.
We have observed sub-Poissonian spin correlations generated by collisionally induced spin mixing in a spin-1 Bose-Einstein condensate. We measure a quantum noise reduction of $\ensuremath{-}7\text{ }\text{ }\mathrm{dB}$ ($\ensuremath{-}10\text{ }\text{ }\mathrm{dB}$ corrected for detection noise) below the standard quantum limit for the corresponding coherent spin states. The spin fluctuations are detected as atom number differences in the spin states using fluorescent imaging that achieves a detection noise floor of 8 atoms per spin component for a probe time of $100\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$.