Vortex mass in a superfluid

Abstract

We consider the inertial mass of a vortex in a superfluid. We obtain a vortex mass that is well defined and is determined microscopically and self-consistently by the elementary excitation energy of the kelvon quasiparticle localised within the vortex core. The obtained result for the vortex mass is found to be consistent with experimental observations on superfluid quantum gases and vortex rings in water. We propose a method to measure the inertial rest mass and Berry phase of a vortex in superfluid Bose and Fermi gases.

Einstein–Bose condensation of Onsager vortices

“…where ω k is the kelvon frequency and m 0 is the vortex mass per unit length [53], has been discussed extensively in the recent literature [13, 34-43, 45, 58] yet the nature of the condensate has remained unclear. This is partly because of the divergent behaviour of the zero-core point vortex model that becomes invalid at the critical point of condensation and is unable to yield predictions for the condensed phase.…”

“…where m v is the vortex mass [53] and ω 0 is an angular frequency. Thus the set of vortex coordinates {x j , y j } in the real space are mapped onto points in the phase space {q j , p j } spanned by the canonical conjugate variables.…”

Introduction to topological quantum computation with non-Abelian anyons

“…A special sub-class of braids are weaves, where one strand, the warp strand, moves around other stationary strands, the weft strands (Simon et al, 2006). For braiding anyons, this can be achieved by moving one anyon while keeping the other anyons stationary.…”

“…In the case of topological quantum computers made from Fibonacci anyons, compiling more useful operations from the elementary braiding operations available with Fibonacci anyons Carnahan et al, 2016;Freedman and Wang, 2007;Hormozi et al, 2007;Kliuchnikov et al, 2014;Simon et al, 2006;Xu and Wan, 2008), and testing of various error correction codes for Fibonacci anyon-based quantum computers (Burton et al, 2017;Feng, 2015;Wootton et al, 2014), as well as simulation of the physics involved with Fibonacci anyons (Ayeni et al, 2016) have been investigated. There has also been considerable study into candidate physical systems which could contain non-Abelian anyons.…”

Braiding and Fusion of Non-Abelian Vortex Anyons

“…Promisingly, many additional non-Abelian phases have been predicted for higher spin BEC systems [51], which may enable a more accessible experimental route for creating non-Abelian vortex anyons. To surpass the inertial limitations of massive vortices [52], including the adiabaticity speed limit of vortex braiding [53], synthetic non-Abelian fluxons could potentially be designed and engineered using novel artificial gauge field techniques [54,55]. The ability to perform quantum information processing with the non-Abelian vortices is likely compromised by the substantial challenge of cre-ating and maintaining true quantum superpositions with a macroscopic number of atoms in a Bose-Einstein condensate.…”