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

arXiv:quant-ph/0612214 · Physical Review A

Manipulation of the quantum state by the Majorana transition in spinor Bose-Einstein condensates

Xia Lin, Xu Xu, Rui Guo, F. Yang, Wei Xiong, Juntao Li, Qianli Ma, Xiaoji Zhou, Hong Mei Guo, Xuzong Chen

Published Apr 21, 2008• 12 citations
arXivHTMLPDF

Abstract

Manipulation of the quantum state by the Majorana transition in a spinor Bose-Einstein condensed system has been realized by altering the rotation frequency of the magnetic field direction. This kind of manipulation method has no limitation on the transition speed in principle, and the system is well closed. When this method is used on a pulsed atom laser, a multicomponent spinor atom laser is generated. We demonstrate that the experimental results agree with the theoretical prediction.

DOI
10.1103/physreva.77.043622

Related papers

Controllable Majorana Transition in Spinor Bose-Einstein Condensate

Xuzong Chen, Lin Xia, Xu Xu +7 more

Controllable Majorana transition in spinor BEC system has been realized by altering the direction of magnetic field, which can be manipulated by adjusting the turn-off time of the trap coils. In addition, multicomponent pulsed atom laser can also be generated by controllable Majorana transition process.

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)•Aug 1, 2007•0 citations

Method to create a vortex in a Bose-Einstein condensate

Shin-ichiro Ogawa, Mikko Möttönen, Mikio Nakahara +2 more

It has been shown that a vortex in a Bose-Einstein condensate with spin degrees of freedom can be created by manipulating with external magnetic fields. In the previous work [Phys. Rev. A 61, 063610 (2000)] an optical plug along the vortex axis has been introduced to avoid Majorana flips, which take place when the external magnetic field vanishes along the vortex axis while it is created. In the present work, in contrast, we study the same scenario without introducing the optical plug. The magnetic field vanishes only in the center of the vortex at a certain moment of the evolution and hence we expect that the system will lose only a fraction of the atoms by Majorana flips even in the absence of an optical plug. Our conjecture is justified by numerically solving the Gross-Pitaevskii equation, where the full spinor degrees of freedom of the order parameter are properly taken into account. A significant simplification of the experimental realization of the scenario is attained by the omission of the optical plug.

arXiv:cond-mat/0202018•Physical Review A•Jul 30, 2002•44 citations

Quantum entanglement of many atoms in spinor Bose-Einstein condensates

Xu‐Bo Zou, K. Pahlke, Wolfgang M. Mathis

We present a theoretical analysis of the experimental scheme for creating maximally entangled states of many atoms in spin-1 Bose-Einstein condensates by driving single atom Raman transition [Li You, Phys. Rev. Lett. 90, 030402 (2003)]. It is shown that, with the help of strong external laser pulses, the model proposed by You can be greatly simplified. Using this simplified interaction, an analytical expression is given for the entangled states between atoms with hyperfine spin $\ensuremath{-}1$ and 1. We also show how to generate the entangled state between atoms with hyperfine spin 0 and 1.

Physical Review A•May 10, 2004•8 citations

Population oscillation of the multicomponent spinor Bose-Einstein condensate induced by nonadiabatic transitions

Xiuquan Ma, Xia Lin, Fang Yang +4 more

The generation of the population oscillation of the multicomponent spinor Bose-Einstein condensate is demonstrated in this paper. We observe and examine the nonsynchronous decreasing processes of the magnetic fields generated between quadrupole coils and Ioffe coils during the switch-off of the quadrupole-Ioffe-configuration trap, which is considered to induce a nonadiabatic transition. Starting from the two-level Schr\"odinger equation, we have done some numerical fitting and derived an analytical expression identical to the results of Majorana and Zener, of which both results well match the experimental data.

arXiv:cond-mat/0509776•Physical Review A•Jan 24, 2006•16 citations

Method for monopole creation in spinor Bose-Einstein condensates

Darrick E. Chang

We present a method for creating a monopole in an antiferromagnetic spin-1 Bose-Einstein condensate. The required phase engineering of the multicomponent condensate is achieved using light shifts, which depend on both the magnetic substate ${m}_{F}$ and polarization of the incident laser beam.

arXiv:cond-mat/0203556•Physical Review A•Aug 5, 2002•6 citations

Parallel multicomponent interferometer with a spinor Bose-Einstein condensate

Pengju Tang, Peng Peng, Zhihan Li +3 more

Atom interferometry with high visibility is of high demand for precision measurements. Here, a parallel multicomponent interferometer is achieved by preparing a spin-2 Bose-Einstein condensate of $^{87}\mathrm{Rb}$ atoms confined in a hybrid magneto-optical trap. After the preparation of a spinor Bose-Einstein condensate with spin degrees of freedom entangled, we observe four spatial interference patterns in each run of measurements corresponding to four hyperfine states we mainly populate in the experiment. The atomic populations in different Zeeman sublevels are made controllably using magnetic-field-pulse induced Majorana transitions. The spatial separation of atom cloud in different hyperfine states is reached by Stern-Gerlach momentum splitting. The high visibility of the interference fringes is reached by designing a proper overlap of the interfering wave packets. Due to uncontrollable phase accumulation in Majorana transitions, the phase of each individual spin is found to be subjected to unreproducible shift in multiple experimental runs. However, the relative phase across different spins is stable, paving a way towards noise-resilient multicomponent parallel interferometers.

arXiv:1810.05332•Physical Review A•Jul 15, 2019•8 citations
Manipulation of the quantum state by the Majorana transition in a spinor Bose-Einstein condensed system has been realized by altering the rotation frequency of the magnetic field direction. This kind of manipulation method has no limitation on the transition speed in principle, and the system is well closed. When this method is used on a pulsed atom laser, a multicomponent spinor atom laser is generated. We demonstrate that the experimental results agree with the theoretical prediction.
It has been shown that a vortex in a Bose-Einstein condensate with spin degrees of freedom can be created by manipulating with external magnetic fields. In the previous work [Phys. Rev. A 61, 063610 (2000)] an optical plug along the vortex axis has been introduced to avoid Majorana flips, which take place when the external magnetic field vanishes along the vortex axis while it is created. In the present work, in contrast, we study the same scenario without introducing the optical plug. The magnetic field vanishes only in the center of the vortex at a certain moment of the evolution and hence we expect that the system will lose only a fraction of the atoms by Majorana flips even in the absence of an optical plug. Our conjecture is justified by numerically solving the Gross-Pitaevskii equation, where the full spinor degrees of freedom of the order parameter are properly taken into account. A significant simplification of the experimental realization of the scenario is attained by the omission of the optical plug.
We present a theoretical analysis of the experimental scheme for creating maximally entangled states of many atoms in spin-1 Bose-Einstein condensates by driving single atom Raman transition [Li You, Phys. Rev. Lett. 90, 030402 (2003)]. It is shown that, with the help of strong external laser pulses, the model proposed by You can be greatly simplified. Using this simplified interaction, an analytical expression is given for the entangled states between atoms with hyperfine spin $\ensuremath{-}1$ and 1. We also show how to generate the entangled state between atoms with hyperfine spin 0 and 1.
The generation of the population oscillation of the multicomponent spinor Bose-Einstein condensate is demonstrated in this paper. We observe and examine the nonsynchronous decreasing processes of the magnetic fields generated between quadrupole coils and Ioffe coils during the switch-off of the quadrupole-Ioffe-configuration trap, which is considered to induce a nonadiabatic transition. Starting from the two-level Schr\"odinger equation, we have done some numerical fitting and derived an analytical expression identical to the results of Majorana and Zener, of which both results well match the experimental data.
We present a method for creating a monopole in an antiferromagnetic spin-1 Bose-Einstein condensate. The required phase engineering of the multicomponent condensate is achieved using light shifts, which depend on both the magnetic substate mF{m}_{F}mF​ and polarization of the incident laser beam.
Atom interferometry with high visibility is of high demand for precision measurements. Here, a parallel multicomponent interferometer is achieved by preparing a spin-2 Bose-Einstein condensate of 87Rb^{87}\mathrm{Rb}87Rb atoms confined in a hybrid magneto-optical trap. After the preparation of a spinor Bose-Einstein condensate with spin degrees of freedom entangled, we observe four spatial interference patterns in each run of measurements corresponding to four hyperfine states we mainly populate in the experiment. The atomic populations in different Zeeman sublevels are made controllably using magnetic-field-pulse induced Majorana transitions. The spatial separation of atom cloud in different hyperfine states is reached by Stern-Gerlach momentum splitting. The high visibility of the interference fringes is reached by designing a proper overlap of the interfering wave packets. Due to uncontrollable phase accumulation in Majorana transitions, the phase of each individual spin is found to be subjected to unreproducible shift in multiple experimental runs. However, the relative phase across different spins is stable, paving a way towards noise-resilient multicomponent parallel interferometers.