Non Classical Rotational Inertia Fraction in a One Dimensional Model of Supersolid

Abstract

We study the rotational inertia of a model of supersolid in the frame of the mean field Gross-Pitaevskii theory in one space dimension. We discuss the ground state of the model and the existence of a non classical inertia (NCRI) under rotation that models an annular geometry. An explicit formula for the NCRI is deduced. It depends on the density profil of the ground state, in full agreement with former theories. We compare the NCRI computed through this theory with direct numerical simulations of rotating 1D systems.

References in corpus (6)

• Disorder and the Supersolid State of Solid ${}^4$He
• Ring exchanges and the supersolid phase of 4He
• What makes a crystal supersolid ?
• Supersolid Helium at High Pressure
• Coexisting ordinary elasticity and superfluidity in a model of defect-free supersolid
• Nonclassical rotational inertia for a supersolid under rotation

Cited by in corpus (26)

• Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition
• Supersolidity in an elongated dipolar condensate
• Dimensional crossover in the superfluid-supersolid quantum phase transition
• High-energy Bragg scattering measurements of a dipolar supersolid
• Supersolidity and crystallization of a dipolar Bose gas in an infinite tube
• Supersolid structure and excitation spectrum of soft-core bosons in 3D
• Two-dimensional supersolidity in a planar dipolar Bose gas
• Integrable model for density-modulated quantum condensates: solitons passing through a soliton lattice
• Compressibility and speeds of sound across the superfluid to supersolid phase transition of an elongated dipolar gas
• Probing the supersolid order via high-energy scattering: analytical relations among response, density modulation, and superfluid fraction
• Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature
• Sounds waves and fluctuations in one-dimensional supersolids
• Bose-Einstein condensate in an elliptical waveguide
• Supersolid formation in a dipolar condensate by roton instability
• Tuning photon-mediated interactions in a multimode cavity: from supersolid to insulating droplets hosting phononic excitations
• Josephson effects in one-dimensional supersolids
• Crossing the superfluid-supersolid transition of an elongated dipolar condensate
• Quantum fluctuations in one-dimensional supersolids
• Breakup of quantum liquid filaments into droplets
• Supersolid spectroscopy
• Superfluid properties of bright solitons in a ring
• Crystalline Phases of Laser-Driven Dipolar Bose-Einstein Condensates
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Self-induced Bose glass phase in quantum cluster quasicrystals
• Superfluid Fraction of a 2D Bose-Einstein Condensate in a Triangular Lattice
• Correlated phases of moat-band excitons in two dimensions