Dimensional Reduction and Localization of a Bose-Einstein Condensate in a Quasi-1D Bichromatic Optical Lattice

• Authors: L. Salasnich , S. Adhikari
• Languages of publication: EN

Abstracts

EN

We analyze the localization of a Bose-Einstein condensate in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D Gross-Pitaevskii equation from the dimensional reduction of the 3D quantum field theory of interacting bosons obtaining two coupled differential equations (for axial wave fuction and space-time dependent transverse width) which reduce to the 1D Gross-Pitaevskii equation under strict conditions. Then, by using the 1D Gross-Pitaevskii equation we report the suppression of localization in the interacting Bose-Einstein condensate when the repulsive scattering length between bosonic atoms is sufficiently large.

Keywords

EN

03.75.Nt; 03.75.Lm; 64.60.Cn; 67.85.Hj

Discipline

• 03.75.Nt: Other Bose-Einstein condensation phenomena
• 67.85.Hj: Bose-Einstein condensates in optical potentials
• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 64.60.Cn: Order-disorder transformations(see also 81.30.Hd Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder in materials science; for effects of disorder on superconducting transition temperature, see 74.62.En)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 6
• Pages: 979-982

Dates

published

2015-12

Contributors

author

L. Salasnich

• Dipartimento di Fisica "Galileo Galilei" and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy
• Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto Fiorentino, Via Nello Carrara, 1 - 50019 Sesto Fiorentino, Italy

author

S. Adhikari

• Instituto de Fisica Teorica, Universidade Estadual Paulista, UNESP 01.140-070 Sao Paulo, Sao Paulo, Brazil

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Identifiers

DOI

10.12693/APhysPolA.128.979