Deep optical observations of the fields of two nearby millisecond pulsars with the VLT

We report on deep VLT observations of the fields of two nearby, isolated millisecond pulsars PSR J1744-1134 and PSR J1024-0719. Both objects are old neutron stars with characteristic age $\tau \ge {10}^9$ yr and have relatively high spin-down flux. They have been detected earlier as X-ray sources by ROSAT HRI observations and were considered good candidates for non-thermal emission in the optical bands. Our observations set an upper limit of $B=26.9$, $V=26.3$ and $R=26.0$ for PSR J1744-1134. In the case of PSR J1024-0719, we find two faint objects near the radio position of the pulsar. Using multi-band photometry from the VLT and spectroscopy carried out with the Magellan I telescope, we discuss the nature of the brighter object and the possibility of the fainter one being the optical counterpart of PSR J1024-0719. We consider the implications of our findings for both pulsars in the context of theoretical models of high-energy emission from old pulsars.