Solitonic Bloch oscillations in two-dimensional optical lattices

2010 ◽  
Vol 82 (3) ◽  
Author(s):  
Ramaz Khomeriki
Keyword(s):  
Optical Lattices ◽  
Two Dimensional ◽  
Bloch Oscillations

scholarly journals BLOCH OSCILLATIONS OF COLD ATOMS IN OPTICAL LATTICES

2004 ◽  
Vol 18 (09) ◽  
pp. 1235-1260 ◽  
Author(s):  
ANDREY R. KOLOVSKY ◽  
HANS JÜRGEN KORSCH
Keyword(s):  
Optical Lattices ◽  
Cold Atoms ◽  
Two Dimensional ◽  
Neutral Atoms ◽  
Bloch Oscillations ◽  
General Introduction ◽  
General Validity ◽  
Correlated Systems ◽  
Recent Developments

This work is devoted to Bloch oscillations (BO) of cold neutral atoms in optical lattices. After a general introduction to the phenomenon of BO and its realization in optical lattices, we study different extentions of this problem, which account for recent developments in this field. These are two-dimensional BO, decoherence of BO, and BO in correlated systems. Although these problems are discussed in relation to the system of cold atoms in optical lattices, many of the results are of general validity and can be well applied to other systems showing the phenomenon of BO.

scholarly journals Damped Bloch oscillations of cold atoms in optical lattices

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
A. R. Kolovsky ◽  
A. V. Ponomarev ◽  
H. J. Korsch
Keyword(s):  
Optical Lattices ◽  
Cold Atoms ◽  
Bloch Oscillations

scholarly journals LDRD final report on Bloch Oscillations in two-dimensional nanostructure arrays for high frequency applications.

2008 ◽  
Author(s):  
Sungkwun Kenneth Lyo ◽  
Wei Pan ◽  
John Louis Reno ◽  
Joel Robert Wendt ◽  
Daniel Lee Barton
Keyword(s):  
High Frequency ◽  
Final Report ◽  
Two Dimensional ◽  
Bloch Oscillations ◽  
Nanostructure Arrays

Acoustic Bloch oscillations in a two-dimensional phononic crystal

2007 ◽  
Vol 76 (5) ◽  
Author(s):  
Zhaojian He ◽  
Shasha Peng ◽  
Feiyan Cai ◽  
Manzhu Ke ◽  
Zhengyou Liu
Keyword(s):  
Phononic Crystal ◽  
Two Dimensional ◽  
Bloch Oscillations

Dynamics of two-dimensional multi-peak solitons based on the fractional Schrödinger equation

2021 ◽  
Author(s):  
Xiaoping Ren ◽  
Fang Deng
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Optical Lattices ◽  
Two Dimensional ◽  
Fractional Schrödinger Equation ◽  
Existence Domain ◽  
Maximal Peak ◽  
Band Gap Structure ◽  
Fractional Schrodinger Equation ◽  
Peak Value

We address the propagation dynamics of two-dimensional multi-peak solitons in the optical lattices based on the fractional Schrödinger equation. The effect of Lévy index and lattice depth on the band-gap structure of optical lattices are presented. Two-, three-, four-, six- and eight-peak solitons all can exist in the first gap and be stable in a wide region of their existence domain. The effective width, maximal peak value and the power of soliton are also studied. It indicates that the Lévy index plays a significant role on the properties of solitons.

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