The possibility of vortex nucleation in superfluid systems by homogeneous magnetic and inhomogeneous electric crossed fields

It was found by article S.I. Shevchenko and A.S. Rukin, JETP Lett. 90, 42 (2009) that quantized vortices in superfluid systems in a magnetic field acquire an electric charge. The compensating charge of the opposite sign is on the surface of the system and can be at a macroscopic distance from the vortex charge. It is shown in the above article that as a consequence, the total energy of a vortex and compensating charges can be negative in the inhomogeneous electric field normal to the homogeneous magnetic one. The conditions when this gives rise to spontaneous appearance of quantized vortices in the system are found. We discuss the possibility of observation of this effect in He II, in Bose gases of alkali metals and in systems with spatially indirect excitons.