We propose a model of quasar lifetimes in which observational quasar
lifetimes and an intrinsic lifetime of rapid accretion are strongly
distinguished by the physics of obscuration by surrounding gas and dust.
Quasars are powered by gas funneled to galaxy centers, but for a large part of
the accretion lifetime are heavily obscured by the large gas densities powering
accretion. In this phase, starbursts and black hole growth are fueled but the
quasar is buried. Eventually, feedback from accretion energy disperses
surrounding gas, creating a window in which the black hole is observable
optically as a quasar, until accretion rates drop below those required to
maintain a quasar luminosity. We model this process and measure the unobscured
and intrinsic quasar lifetimes in a hydrodynamical simulation of a major galaxy
merger. The source luminosity is determined from the black hole accretion rate,
calculated from local gas properties. We calculate the column density of
hydrogen to the source along multiple lines of sight and use these column
densities and gas metallicities to determine B-band attenuation of the source.
Defining the observable quasar lifetime as the total time with an observed
B-band luminosity above some limit L_B,min, we find lifetimes ~10-20 Myr for
L_B,min=10^11 L_sun (M_B=-23), in good agreement with observationally
determined quasar lifetimes. This is significantly smaller than the intrinsic
lifetime ~100 Myr obtained if attenuation is neglected. The ratio of observed
to intrinsic lifetime is also strong function of both the limiting luminosity
and the observed frequency.Comment: 5 pages, 4 figures, submitted to ApJ Letter