Josephson and Persistent Spin Currents in Bose-Einstein Condensates of Magnons

Abstract

Using the Aharonov-Casher (A-C) phase, we present a microscopic theory of the Josephson and persistent spin currents in quasi-equilibrium Bose-Einstein condensates (BECs) of magnons in ferromagnetic insulators. Starting from a microscopic spin model that we map onto a Gross-Pitaevskii Hamiltonian, we derive a two-state model for the Josephson junction between the weakly coupled magnon-BECs. We then show how to obtain the alternating-current (ac) Josephson effect with magnons as well as macroscopic quantum self-trapping in a magnon-BEC. We next propose how to control the direct-current (dc) Josephson effect electrically using the A-C phase, which is the geometric phase acquired by magnons moving in an electric field. Finally, we introduce a magnon-BEC ring and show that persistent magnon-BEC currents flow due to the A-C phase. Focusing on the feature that the persistent magnon-BEC current is a steady flow of magnetic dipoles that produces an electric field, we propose a method to directly measure it experimentally.

8 pages, 6 figures, updated into published version

References in corpus (5)

• Superfluid Spin Transport through Easy-Plane Ferromagnetic Insulators
• AC magnetization transport and power absorption in non-itinerant spin chains
• Spin Superfluidity in Coplanar Multiferroics
• Josephson Effects in a Bose-Einstein Condensate of Magnons
• The temperature dependence of quantum spin pumping generated using electron spin resonance with three-magnon splittings

Cited by in corpus (58)

• Supercurrent in a room temperature Bose-Einstein magnon condensate
• Magnon Valve Effect Between Two Magnetic Insulators
• Magnonic topological insulators in antiferromagnets
• Magnonic quantum Hall effect and Wiedemann-Franz law
• AC Josephson effect between two superfluid time crystals
• Spin Currents and Magnon Dynamics in Insulating Magnets
• Long-distance supercurrent transport in a room-temperature Bose-Einstein magnon condensate
• Spin superfluidity and long-range transport in thin-film ferromagnets
• Temperature dependent relaxation of dipole-exchange magnons in yttrium iron garnet films
• Wiedemann-Franz Law for Magnon Transport
• Nematic versus ferromagnetic spin filtering of triplet Cooper pairs in superconducting spintronics
• Classical analog of qubit logic based on a magnon Bose-Einstein condensate
• Nonlinear two-level dynamics of quantum time crystals
• Skyrmion Based Magnonic Crystals
• Towards a quantum interface between spin waves and paramagnetic spin baths
• Magnon transport through microwave pumping
• Theory of topological exciton insulators and condensates in flat Chern bands
• Direct optical probe of magnon topology in two-dimensional quantum magnets
• Spin currents, spin torques, and the concept of spin superfluidity
• Evolution of room-temperature magnon gas toward coherent Bose-Einstein condensate
• Experimental observation of Josephson oscillations in a room-temperature Bose-Einstein magnon condensate
• Self-trapped quantum walks
• Control of the Bose-Einstein Condensation of Magnons by the Spin-Hall Effect
• Propagation of self-localised Q-ball solitons in the ${}^3$He universe
• Laser control of magnonic topological phases in antiferromagnets
• Unconventional spin currents in magnetic films
• Exploiting Coherence in Nonlinear Spin-Superfluid Transport
• Magnon quantum anomalies in Weyl ferromagnets
• Oscillating Solitons and AC Josephson Effect in Ferromagnetic Bose-Bose Mixtures
• Spin phase regulated spin Josephson supercurrent in topological superconductor
• Towards an experimental proof of the magnonic Aharonov$-$Casher effect
• Magnetic Domain Wall Floating on a Spin Superfluid
• Stabilization of a nonlinear bullet coexisting with a Bose-Einstein condensate in a rapidly cooled magnonic system driven by a spin-orbit torque
• Spin Transport in Normal Metal-Ising Superconductor Junction
• Transverse instability and universal decay of spin spiral order in the Heisenberg model
• Optomagnonic Barnett effect
• Magnonic $\phi$ Josephson junctions and synchronized precession
• Anisotropy-assisted magnon condensation in ferromagnetic thin films
• Theory of generalized Josephson effects
• Magnetic dipolar modes in magnon-polariton condensates
• Magnon Bose-Einstein condensate and supercurrents over a wide temperature range
• Asymmetric quantum shot noise in magnon transport
• Dissipationless Spin-Charge Conversion in Excitonic Pseudospin Superfluid
• Formation of new phase inclusions in the system of quasi-equilibrium magnons of high density
• Optomagnonic Josephson effect in antiferromagnets
• Stability of chiral magnon condensates in collinear antiferromagnetic insulators
• Quantum action of the Josephson dynamics
• Entanglement of condensed magnons via momentum-space fragmentation
• Universal $1/3$-suppression of magnonic shot noise in diffusive insulating magnets
• Electromagnetic response in dipole superfluids: vortex lattices and singular domain walls
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
• Tunneling between chiral magnets: Spin current generation without external fields
• Geometric phase driven Josephson junction: Possible experimental scheme for the search of spin superfluidity
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Tunneling Hamiltonian analysis of DC Josephson currents in a weakly-interacting Bose-Einstein condensate
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons
• Spin transport in a normal meta-altermagnetic superconducting nanowire junction
• Direct and alternating magnon spin currents across a junction interface irradiated by linearly polarized laser