  The Arches cluster is an extraordinarily compact massive star cluster with a
core radius of about 10$''$ ($\sim$0.4 pc) and consisting of more than 150 O
star candidates with initial stellar masses greater than 20~M$_\odot$ near
G0.12-0.02. X-ray observations of the radio Arc near the Galactic center at
l$\sim0.2^0$ which contains the Arches cluster have been carried out with the
Advanced CCD Imaging Spectrometer (ACIS) on board Chandra X-ray Observatory. We
report the detection of two X-ray sources from the Arches cluster embedded
within a bath of diffuse X-ray emission extending beyond the edge of the
cluster to at least 90$''\times60''$ (3.6 pc $\times$ 2.4 pc). The brightest
component of the X-ray emission coincides with the core of the cluster and can
be fitted with two-temperature thermal spectrum with a soft and hard component
of 0.8 and 6.4 keV, respectively. The core of the cluster coincides with
several ionized stellar wind sources that have previously been detected at
radio wavelengths, suggesting that the X-ray emission from the core arises from
stellar wind sources. The diffuse emission beyond the boundary of the cluster
is discussed in the context of combined shocked stellar winds escaping from the
cluster. We argue that the expelled gas from young clusters such as the Arches
cluster may be responsible for the hot and extended X-ray emitting gas detected
throughout the inner degree of the Galactic center.
