The equations governing the evolution of quantum vortex defects subject to twist are derived in standard hydrodynamic form. Vortex defects emerge as solutions of the Gross-Pitaevskii equation, that by Madelung transformation admits a hydrodynamic description. Here, we consider a vortex defect subject to superposed twist due to the rotation of the phase of the wave function. We prove that, when twist is present, the corresponding Hamiltonian is non-Hermitian and determine the effect of twist on the energy expectation value of the system. We show how twist diffusion may trigger linear instability, a property directly related to the non-Hermiticity of the Hamiltonian. We derive the correct continuity equation and, by applying defect theory, we obtain the correct momentum equation. Finally, by coupling twist kinematics and vortex dynamics we determine the full set of hydrodynamic equations governing quantum vortex evolution subject to twist.

Foresti, M., Ricca, R. (2020). Hydrodynamics of a quantum vortex in the presence of twist. JOURNAL OF FLUID MECHANICS, 904 [10.1017/jfm.2020.695].

Hydrodynamics of a quantum vortex in the presence of twist

Ricca, R
2020

Abstract

The equations governing the evolution of quantum vortex defects subject to twist are derived in standard hydrodynamic form. Vortex defects emerge as solutions of the Gross-Pitaevskii equation, that by Madelung transformation admits a hydrodynamic description. Here, we consider a vortex defect subject to superposed twist due to the rotation of the phase of the wave function. We prove that, when twist is present, the corresponding Hamiltonian is non-Hermitian and determine the effect of twist on the energy expectation value of the system. We show how twist diffusion may trigger linear instability, a property directly related to the non-Hermiticity of the Hamiltonian. We derive the correct continuity equation and, by applying defect theory, we obtain the correct momentum equation. Finally, by coupling twist kinematics and vortex dynamics we determine the full set of hydrodynamic equations governing quantum vortex evolution subject to twist.
Articolo in rivista - Articolo scientifico
quantum fluids; topological fluid dynamics; vortex dynamics;
English
2020
904
A25
reserved
Foresti, M., Ricca, R. (2020). Hydrodynamics of a quantum vortex in the presence of twist. JOURNAL OF FLUID MECHANICS, 904 [10.1017/jfm.2020.695].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/393629
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