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We investigate the effect of the spin-orbit (SO) and Rabi couplings on the localization of the spin-1/2 condensate trapped in a one-dimensional random potential. Our studies reveal that the spin-dependent couplings create distinct localization regime
Externí odkaz:
http://arxiv.org/abs/2410.06005
We investigate the impact of various impurities on rotating Bose-Einstein condensates confined within two-dimensional harmonic and optical lattice potentials. Without impurities, the rotating condensates display an organized square lattice pattern of
Externí odkaz:
http://arxiv.org/abs/2408.10565
Autor:
Sarkar, Swarup K., Ravisankar, Rajamanickam, Mishra, Tapan, Muruganandam, Paulsamy, Mishra, Pankaj K.
We study the localization transition in a spin-orbit (SO) coupled binary Bose-Einstein condensates (BECs) with collisional inhomogeneous interaction trapped in a one-dimensional quasiperiodic potential. Our numerical analysis shows that the competiti
Externí odkaz:
http://arxiv.org/abs/2403.02027
Autor:
Sarkar, Anjan K., Sethi, Shiv K.
The presence of massive neutrinos has still not been revealed by the cosmological data. We consider a novel method based on the two-point line-of-sight correlation function of high-resolution Lyman-$\alpha$ data to achieve this end in the paper. We a
Externí odkaz:
http://arxiv.org/abs/2311.18499
Autor:
Sarkar, Sanat K.
This paper revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing any depen
Externí odkaz:
http://arxiv.org/abs/2304.05261
Autor:
Suzgun, Mirac, Melas-Kyriazi, Luke, Sarkar, Suproteem K., Kominers, Scott Duke, Shieber, Stuart M.
Innovation is a major driver of economic and social development, and information about many kinds of innovation is embedded in semi-structured data from patents and patent applications. Although the impact and novelty of innovations expressed in pate
Externí odkaz:
http://arxiv.org/abs/2207.04043
Autor:
Nandi, Shinjini, Sarkar, Sanat K.
In this article, we propose a generalized weighted version of the well-known Benjamini-Hochberg (BH) procedure. The rigorous weighting scheme used by our method enables it to encode structural information from simultaneous multi-way classification as
Externí odkaz:
http://arxiv.org/abs/2105.10839
Akademický článek
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Autor:
Sarkar, Sanat K., Tang, Cheng Yong
The knockoff-based multiple testing setup of Barber & Candes (2015) for variable selection in multiple regression where sample size is as large as the number of explanatory variables is considered. The method of Benjamini & Hochberg (1995) based on o
Externí odkaz:
http://arxiv.org/abs/2102.09080
Autor:
Roy, Umesh C., Sarkar, Subir K.
Ab initio calculations based on the Density Functional Theory are used to show that the Debye frequency is a linear function of density to a high accuracy for several elemental solids at pressures (at least) up to 360 GPa. This implies that the ratio
Externí odkaz:
http://arxiv.org/abs/2101.04098