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

Tunneling of Spinor Bose–Einstein Condensates in Optical Lattice

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

Published Nov 1, 2005• 1 citation
Publisher

Abstract

In this letter, we have studied the tunneling effects and fluctuations of spinor Bose–Einstein condensates in optical lattice. It is found that there exist tunneling effects and fluctuations between lattices l and l + 1, l and l − 1, respectively. In particular, when the optical lattice is infinitely long and the spin excitations are in the long-wavelength limit, tunneling effects disappear between lattices l and l + 1, and l and l − 1. In this case the fluctuations are a constant, and the magnetic soliton appears.

DOI
10.1088/6102/44/5/837

Related papers

Quantum Tunneling of a Dipolar Bose–Einstein Condensate in Optical Lattice

Zhao-Xian Yu, Jiao Zhi-Yong, Ji‐Suo Wang

We study quantum tunneling of a dipolar Bose-Einstein condensate in optical lattice when the spin system initially is prepared in a squeezed coherent state. It is found that there exists quantum tunneling between lattices l and l + 1, l and l - 1, respectively. In particular, when the optical lattice is infinitely long and the spin excitations are in the long-wavelength limit, quantum tunneling disappears between lattices l and l + 1, and that l and l - 1. Correspondingly, the magnetic soliton appears.

Communications in Theoretical Physics•Jan 1, 2008•0 citations

Magnetic solitons of spinor Bose-Einstein condensates in an optical lattice

Zhengwei Xie, Weiping Zhang, S. T. Chui +1 more

Magnetic solitons in spinor Bose-Einstein condensates confined in a one-dimensional optical lattice are studied by the Holstein-Primakoff transformation method. It is shown that due to the long-range light-induced and static magnetic dipole-dipole interactions, there exist different types of magnetic solitary excitations in different parameter regions. Compared to conventional solid-state materials, the parameters of this type of magnetic solitons in an optical lattice can be easily tuned by the above dipole-dipole interactions, which are highly controllable in experiments.

Physical Review A•May 12, 2004•55 citations

Quantum Tunneling of Two-Species Cold Bosonic Atoms in Optical Lattices

Zhao-Xian Yu, Fuping Liu, Jiao Zhi-Yong

In this letter, we have studied quantum tunneling of two-species cold bosonic atoms in an optical lattices. When the optical lattice is not infinitely long and the spin excitations are not in the long-wavelength limit, quantum tunnelings are presented.

Communications in Theoretical Physics•Jul 1, 2008•0 citations

Modulational instability of nonlinear spin waves in an atomic chain of spinor Bose-Einstein condensates

Xing-Dong Zhao, Zhengwei Xie, Weiping Zhang

The modulational instability of coherently excited spin waves is studied in an atomic spin chain of spinor Bose-Einstein condensates (BECs) confined in an optical lattice. We examine the dependence of the stability on the long-range nonlinear interaction of spin waves excited at different lattice sites. The long-range nonlinear spin coupling in the optical lattice is due to light-induced and static magnetic dipole-dipole interaction between atoms. We compare the spin wave dynamics in an atomic spin chain of spinor BECs formed in an optical lattice with that in a Heisenberg-like spin chain in solid-state physics. This reveals the important differences of the spin chain with long-range spin coupling from that with the short-range one.

Physical Review B•Dec 14, 2007•11 citations

Magnetic Solitons in Optical Lattice

Xing-Dong Zhao

In this chapter, we discuss the magnetic solitons achieved in atomic spinor Bose-Einstein condensates (BECs) confined within optical lattice. Spinor BECs at each lattice site behave like spin magnets and can interact with each other through the static magnetic dipole-dipole interaction (MDDI), due to which the magnetic soliton may exist in blue-detuned optical lattice. By imposing an external laser field into the lattice or loading atoms in a red-detuned optical lattice, the light-induced dipole-dipole interaction (LDDI) can produce new magnetic solitons. The long-range couplings induced by the MDDI and ODDI play a dominant role in the spin dynamics in an optical lattice. Compared with spin chain in solid material, the nearest-neighbor approximation, next-nearest-neighbor approximation, and long-range case are discussed, respectively.

IntechOpen eBooks•Apr 30, 2019•0 citations

Soliton excitation with high-oder-nonlinearity of spinor Bose-Einstein condensate in an optical lattice

Xie Yuan-Dong

Soliton excitation with high-oder-nonlinearity of spinor Bose-Einstein condensate in an optical lattice is studied in detail. The exact solution for bright soliton which is expressed as an elliptic integral is found, and the analytic solution for dark soliton with particular parameters is presented. The energy is also found.

Acta Physica Sinica•Jan 1, 2012•3 citations
In this letter, we have studied the tunneling effects and fluctuations of spinor Bose–Einstein condensates in optical lattice. It is found that there exist tunneling effects and fluctuations between lattices l and l + 1, l and l − 1, respectively. In particular, when the optical lattice is infinitely long and the spin excitations are in the long-wavelength limit, tunneling effects disappear between lattices l and l + 1, and l and l − 1. In this case the fluctuations are a constant, and the magnetic soliton appears.
We study quantum tunneling of a dipolar Bose-Einstein condensate in optical lattice when the spin system initially is prepared in a squeezed coherent state. It is found that there exists quantum tunneling between lattices l and l + 1, l and l - 1, respectively. In particular, when the optical lattice is infinitely long and the spin excitations are in the long-wavelength limit, quantum tunneling disappears between lattices l and l + 1, and that l and l - 1. Correspondingly, the magnetic soliton appears.
Magnetic solitons in spinor Bose-Einstein condensates confined in a one-dimensional optical lattice are studied by the Holstein-Primakoff transformation method. It is shown that due to the long-range light-induced and static magnetic dipole-dipole interactions, there exist different types of magnetic solitary excitations in different parameter regions. Compared to conventional solid-state materials, the parameters of this type of magnetic solitons in an optical lattice can be easily tuned by the above dipole-dipole interactions, which are highly controllable in experiments.
The modulational instability of coherently excited spin waves is studied in an atomic spin chain of spinor Bose-Einstein condensates (BECs) confined in an optical lattice. We examine the dependence of the stability on the long-range nonlinear interaction of spin waves excited at different lattice sites. The long-range nonlinear spin coupling in the optical lattice is due to light-induced and static magnetic dipole-dipole interaction between atoms. We compare the spin wave dynamics in an atomic spin chain of spinor BECs formed in an optical lattice with that in a Heisenberg-like spin chain in solid-state physics. This reveals the important differences of the spin chain with long-range spin coupling from that with the short-range one.
In this chapter, we discuss the magnetic solitons achieved in atomic spinor Bose-Einstein condensates (BECs) confined within optical lattice. Spinor BECs at each lattice site behave like spin magnets and can interact with each other through the static magnetic dipole-dipole interaction (MDDI), due to which the magnetic soliton may exist in blue-detuned optical lattice. By imposing an external laser field into the lattice or loading atoms in a red-detuned optical lattice, the light-induced dipole-dipole interaction (LDDI) can produce new magnetic solitons. The long-range couplings induced by the MDDI and ODDI play a dominant role in the spin dynamics in an optical lattice. Compared with spin chain in solid material, the nearest-neighbor approximation, next-nearest-neighbor approximation, and long-range case are discussed, respectively.