We study multiple-period Bloch states of a Bose-Einstein condensate with spatially periodic interatomic interaction. Solving the Gross-Pitaevskii equation for the continuum model, and also using a simplified discrete version of it, we investigate the energy-band structures and the corresponding stability properties. We observe an "attraction-induced dynamical stability" mechanism caused by the localization of the density distribution in the attractive domains of the system and the isolation of these higher-density regions. This makes the superfluid stable near the zone boundary and also enhances the stability of higher-periodic states if the nonlinear interaction strength is sufficiently high. © 2016 American Physical Society.

RAKA DASGUPTA

Physics

Fulltext

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Physical Review A

The system of a cold atomic gas in an optical lattice is governed by two factors: Nonlinearity originating from the interparticle interaction, and the periodicity of the system set by the lattice. The high level of controllability associated with such an arrangement allows for the study of the competition and interplay between these two, and gives rise to a whole range of interesting and rich nonlinear effects. This review covers the basic idea and overview of such nonlinear phenomena, especially those corresponding to extended states. This includes "swallowtail" loop structures of the energy band, Bloch states with multiple periodicity, and those in "nonlinear lattices", i.e., systems with the nonlinear interaction term itself being a periodic function in space. © 2016 by the authors.

Entropy

Nonlinear phenomena of ultracold atomic gases in optical lattices: Emergence of novel features in extended states

New Journal of Physics

Multiple period states of the superfluid Fermi gas in an optical lattice

Superfluidity and stability of a Bose-Einstein condensate with periodically modulated interatomic interaction

Loop-structure stability of a double-well-lattice Bose-Einstein condensate

Physical Review Letters

Stable Periodic Density Waves in Dipolar Bose-Einstein Condensates Trapped in Optical Lattices

Attraction-induced dynamical stability of a Bose-Einstein condensate in a nonlinear lattice

Journal	Data powered by TypesetPhysical Review A
Publisher	Data powered by TypesetAmerican Physical Society
ISSN	2469-9926
Open Access	No