258 research outputs found
Three-body constrained bosons in double-well optical lattice
We analyse the ground-state properties of three-body constrained bosons in a
one dimensional optical lattice with staggered hoppings analogous to the double
well optical lattice. By considering attractive and repulsive on-site
interactions between the bosons, we obtain the phase diagram which exhibits
various quantum phases. Due to the double-well geometry and three-body
constraint several gapped phases such as the Mott insulators and
dimer/bond-order phases emerge at commensurate densities in the repulsive
interaction regime. Attractive interaction leads to the pair formation which
leads to the pair bond order phase at unit filling which resembles the
valence-bond solid phase of composite bosonic pairs. At incommensurate
densities we see the signatures of the gapless pair superfluid phase.Comment: 10 pages, 19 figure
First Order Linear Homogeneous Ordinary Differential Equation in Fuzzy Environment Based On Laplace Transform
In this paper the First Order Linear Ordinary Differential Equations (FOLODE) are described in fuzzy environment. Here coefficients and /or initial condition of FOLODE are taken as Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of the FOLODE is developed by Laplace transform. It is illustrated by numerical examples. Finally imprecise bank account problem and concentration of drug in blood problem are described
Topological charge pumping of bound bosonic pairs
Experiments with bosonic atoms in optical superlattices allow for the
interesting possibility to study the adiabatic quantized pumping of bosonic
atoms in the presence of interactions. We investigate this exotic phenomenon
for bound bosonic pairs in the paradigmatic Su-Schrieffer-Heeger model where
the ground state exhibits topological phase transitions due to dimerized
hoppings. At unit filling we show that there exist crossovers and phase
transitions to bond-order phases of paired bosons known as pair-bond-order
phase as a function of attractive interactions. The pair bond order phase is
found to exhibit effective topological properties such as the presence of
polarized paired edge states. This is further analyzed by studying the
emergence and breakdown of the Thouless charge pumping of this bound bosonic
pairs by a parametric extension to the famous Rice-Mele model. Finally we
discuss how the pumping of paired bosons or different regimes of breakdown of
charge pumping can be probed by state-of-the art experiments with repulsively
bound bosons.Comment: 10+ pages including supplementary materials. arXiv admin note: text
overlap with arXiv:1812.0788
First Order Linear Non Homogeneous Ordinary Differential Equation in Fuzzy Environment
In this paper, the solution procedure of a first order linear non homogeneous ordinary differential equation in fuzzy environment is described. It is discussed for three different cases. They are i) Ordinary Differential Equation with initial value as a fuzzy number, ii) Ordinary Differential Equation with coefficient as a fuzzy number and iii) Ordinary Differential Equation with initial value and coefficient are fuzzy numbers. Here fuzzy numbers are taken as Generalized Triangular Fuzzy Numbers (GTFNs). An elementary application of population dynamics model is illustrated with numerical example. Keywords: Fuzzy Ordinary Differential Equation (FODE), Generalized Triangular fuzzy number (GTFN), strong solution
Generalized intuitionistic fuzzy laplace transform and its application in electrical circuit
In this paper we describe the generalized intuitionistic fuzzy laplace transform method for solving first order generalized intutionistic fuzzy differential equation. The procedure is applied in imprecise electrical circuit theory problem. Here the initial condition of those applications is taken as Generalized Intuitionistic triangular fuzzy numbers (GITFNs).Publisher's Versio
Scope and significance of biotechnological improvement of tea
Tea is an important plantation crop of India, which generates huge employment opportunities in rural and hilly backward places.Being a woody perennial crop with an economic life span of more than 60 years, it also has a role in sustaining the ecosystem.Because of its long gestation period, as observed from conventional breeding, alternative methods such as molecular breeding ishighly relevant, which is rather limited in tea breeding programmes. Therefore, adoption of biotechnological approaches is abetter option to shorten the breeding cycle of tea. Recent developments from the biotechnological research works on tea andrelated species are summarized in the review
- …