Optical identification of binary system millisecond pulsar J1045-4509
  with the VLT
  We analyse archival optical data on the binary companion to the millisecond
pulsar \j1045\ obtained with the Very Large Telescope. A possible optical
counterpart candidate %source position coincides with the pulsar coordinates is
found at the pulsar position. Its magnitudes are $V>26.4$, $R=25.7(2)$ and
$I=25.4(2)$. The data are compared with white dwarf evolutionary models.
Depending on still poorly known distance to the pulsar, two alternative
interpretations are possible.
  For the radio timing parallax distance, the candidate can be a very cool and
old white dwarf with the hydrogen atmosphere and the temperature of $< 3000$ K
and the age of $> 5$ Gyr. The dispersion measure distance suggests a younger
($\sim$ 2 Gyr) and hotter ($\sim$ 6000 K) white dwarf, whose atmosphere
composition remains unknown.
