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With Hg atoms confined in an optical lattice trap in the Lamb-Dicke regime,we obtain a spectral line at 265.6 nm in which the full-width at half-maximumis <15Hz. Here we lock an ultrastable laser to this ultranarrow clocktransition and achieve a fractional frequency stability of5.4x10^(-15)/sqrt(tau) for tau<=400s. The highly stable laser light used forthe atom probing is derived from a 1062.6 nm fiber laser locked to anultrastable optical cavity that exhibits a mean drift rate of -6.0x10^(-17)s^(-1) (or -16.9 mHz.s^(-1) at 282 THz) over a five month period. A comparisonbetween two such lasers locked to independent optical cavities shows a flickernoise limited fractional frequency instability of 4x10^(-16) per cavity.

Laser locking to the 199Hg clock transition with 5.4x10^(-15)/sqrt(tau) fractional frequency instability