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Hydrodynamic theory of rotating ultracold Bose–Einstein condensates in supersolid phase

2013/08/31 by Rashi Sachdeva, Sankalpa Ghosh · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ground state #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #Supersolid #Ultracold atom #cond-mat.quant-gas

paper · pdf · doi:10.1088/0953-4075/48/10/105301

published in Journal of Physics B Atomic Molecular and Optical Physics 48(10), 105301 (IOP Publishing) · Revised Latex file with .pdf figures, Accepted for publication in Journal of Physics B : At. Mol. Opt

arxiv created 2015/03/14 · openalex publication_date 2015/04/15 · arxiv updated 2015/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Within the mean field Gross–Pitaevskii framework, ultracold atomic condensates with long-range interaction are predicted to have a supersolid-like ground state beyond a critical interaction strength. Such a mean field supersolid-like ground state has periodically modulated superfluid density which implies the coexistence of superfluid and crystalline order. An ultracold atomic system in such a mean field ground state can be subjected to an artificial gauge field created either through rotation or by introducing space dependent coupling among hyperfine states of the atoms using Raman lasers. Starting from this Gross–Pitaevskii energy functional that describes such systems at zero temperature, we construct a hydrodynamic theory to describe the low-energy long-wavelength excitations of a rotating supersolid of weakly interacting ultracold atoms in two spatial dimensions for a generic type of long-range interaction. We treat the supersolidity in such a system within the framework of the well known two-fluid approximation. Considering such a system in the fast rotation limit where a vortex lattice in superfluid coexists with the supersolid lattice, we analytically obtain the dispersion relations of collective excitations around this equilibrium state. The dispersion relation gives the modes of the rotating supersolid which can be experimentally measured within the current technology. We point out that this can clearly identify an ultracold atomic supersolid phase in an unambiguous way.

Citations