Dark matter-wave gap solitons in dense ultracold atoms trapped by a one-dimensional optical lattice

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Jiawei Li ◽  
Jianhua Zeng
Keyword(s):  
Dark Matter ◽  
Optical Lattice ◽  
Ultracold Atoms ◽  
Matter Wave ◽  
One Dimensional ◽  
Gap Solitons

scholarly journals Matter-Wave Scattering from Ultracold Atoms in an Optical Lattice

2010 ◽  
Vol 105 (3) ◽  
Author(s):  
Scott N. Sanders ◽  
Florian Mintert ◽  
Eric J. Heller
Keyword(s):  
Optical Lattice ◽  
Wave Scattering ◽  
Ultracold Atoms ◽  
Matter Wave

SOLITON ON THE SEMI-INFINITE BAND GAP OF BEC IN AN OPTICAL LATTICE

2011 ◽  
Vol 25 (06) ◽  
pp. 781-793 ◽  
Author(s):  
D. L. WANG ◽  
X. H. YAN
Keyword(s):  
Band Gap ◽  
Optical Lattice ◽  
Stable Condition ◽  
Multiple Scale ◽  
Experimental Protocol ◽  
One Dimensional ◽  
Energy Gaps ◽  
Gap Soliton ◽  
Gap Solitons ◽  
Bose Einstein

By developing a multiple-scale method, we study analytically the dynamics of the soliton inside the semi-infinite band gap (SIBG) of quasi-one-dimensional Bose–Einstein condensates trapped in an optical lattice. In the linear case, a stable condition of soliton formation is obtained. For a weak nonlinearity, whether there occurs a spatially propagating or localized gap soliton is determined by the lattice depth. Meanwhile, we predict the existence of the dark (bright) gap solitons for the repulsive (attractive) interactions in the SIBG, different from that of the gap solitons in other energy gaps. And the collision of two dark (or bright) solitons is nearly elastic under a safe range of atomic numbers. An experimental protocol is further designed for observing these phenomena.

scholarly journals Long-range transport of ultracold atoms in a far-detuned one-dimensional optical lattice

2012 ◽  
Vol 14 (7) ◽  
pp. 073020 ◽  
Author(s):  
Thomas Middelmann ◽  
Stephan Falke ◽  
Christian Lisdat ◽  
Uwe Sterr
Keyword(s):  
Long Range ◽  
Optical Lattice ◽  
Ultracold Atoms ◽  
Long Range Transport ◽  
One Dimensional ◽  
Range Transport
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