activity
20122026
most citedThe Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory

20 citations · 41 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.quant-gas2026

Vortex Retention Mediated Turbulent Transitions in Self-Gravitating Bosonic and Axionic Condensates

Anirudh Sivakumar, Sanjay Shukla, Rahul Pandit +2

We investigate turbulent spin-down dynamics in self-gravitating Bose-Einstein condensates, comparing purely bosonic and axionic (higher-order interacting) systems. Through simulati…

astro-ph.HE2025

Self-gravitating Superfluids: The Gross-Pitaevskii-Poisson Framework

Sanjay Shukla, Marc E. Brachet, Rahul Pandit

We provide an overview of the Gross-Pitaevskii-Poisson equation (GPPE) that is used to model self-gravitating superfluid systems, which include gravitationally collapsed boson and…

astro-ph.HE2025

Dynamics of Superfluid-Superconducting Magnetars: Magnetic Field Evolution and Gravitational Waves

Sanjay Shukla, Rahul Pandit

Magnetars, highly magnetized neutron stars, host superconducting and superfluid phases. We develop a minimal model that captures the interplay between neutron superfluidity, proton…

cond-mat.other2024

Capture and release of quantum vortices using mechanical devices in low-temperature superfluids

Sanjay Shukla, Giorgio Krstulovic, Rahul Pandit

We show that the Gross-Pitaevskii equation coupled with the wave equation for a wire (GP-W) provides a natural theoretical framework for understanding recent experiments employing…

astro-ph.HE2024★ 11 cited

Neutron-superfluid vortices and proton-superconductor flux tubes: Development of a minimal model for pulsar glitches

Sanjay Shukla, Marc E. Brachet, Rahul Pandit

We develop a theoretical framework that allows us to explore the coupled motion of neutron-superfluid vortices and proton-superconductor flux tubes in a gravitationally collapsed c…

astro-ph.CO2023★ 10 cited

Gravity- and temperature-driven phase transitions in a model for collapsed axionic condensates

Sanjay Shukla, Akhilesh Kumar Verma, Marc E. Brachet +1

We show how to use the cubic-quintic Gross-Pitaevskii-Poisson equation (cq-GPPE) and the cubic-quintic Stochastic Ginzburg-Landau-Poisson equation (cq-SGLPE) to investigate the gra…

cond-mat.quant-gas2012★ 20 cited

The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory

Jamshid Moradi Kurdestany, Ramesh V. Pai, Rahul Pandit

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yie…