Spatiotemporal binary interaction and designer quasi-particle condensates

doi:10.1088/1674-1056/23/3/034214

Abstract We introduce a new integrable model to investigate the dynamics of two component quasi-particle condensates with spatiotemporal interaction strengths. We derive the associated Lax pair of the coupled Gross–Pitaevskii (GP) equation and construct matter wave solitons. We show that the spatiotemporal binary interaction strengths not only facilitate the stabilization of the condensates, but also enables one to fabricate condensates with desirable densities, geometries, and properties, leading to the so-called “designer quasi-particle condensates”.

Keywords: gauge transformation bright soliton Gross–Pitaevskii (GP) equation

Received: 21 June 2013
Revised: 29 August 2013
Accepted manuscript online:

PACS:	42.81.Dp	(Propagation, scattering, and losses; solitons)
	42.65.Tg	(Optical solitons; nonlinear guided waves)
	05.45.Yv	(Solitons)

Fund: Project supported by the UGC, DAE-NBHM, and DST, Government of India.

Corresponding Authors: Ramaswamy Radha
E-mail: radha_ramaswamy@yahoo.com

Cite this article:

Ramaswamy Radha, Pattu Sakthi Vinayagam, Hyun Jong Shin, Kuppuswamy Porsezian Spatiotemporal binary interaction and designer quasi-particle condensates 2014 Chin. Phys. B 23 034214

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