  Quantum coherence, the ability of a quantum system to be in a superposition
of orthogonal quantum states, is a distinct feature of the quantum mechanics,
thus marking a deviation from classical physics. Coherence finds its
applications in quantum sensing and metrology, quantum thermodynamics and
computation. A particularly interesting is the possibility to observe coherence
arising in counter-intuitive way from thermal energy that is without
implementation of intricate protocols involving coherent driving sequences. In
this manuscript, we investigate quantum coherence emerging in a hybrid system
composed of a two-level system (qubit) and a thermal quantum harmonic
oscillator (a material mechanical oscillator), inspired by recent experimental
progress in fabrication of such systems. We show that quantum coherence is
created in such a composite system solely from the interaction of the parts and
persists under relevant damping. Implementation of such scheme will demonstrate
previously unobserved mechanisms of coherence generation and can be beneficial
for hybrid quantum technologies with mechanical oscillators and qubits.
