A squeezed mechanical oscillator with milli-second quantum decoherence*

The development of mechanical oscillator-based hybrid quantum systems has allowed quantum state preparation and measurements of macroscopic mechanical systems. These systems need to satisfy the dichotomy of engineered coupling to an auxiliary degree of freedom, while being mechanically well isolated from the environment, which induces both thermal decoherence and dephasing. Here we demonstrate a micro-mechanical oscillator coupled to a superconducting microwave circuit with a thermal decoherence rate of only 20.5 Hz (130 quanta/second motional heating rate) and a dephasing rate of 0.09 Hz - on par with and better than, respectively, what has been achieved with trapped ions. This allows us to directly track the free evolution of a squeezed mechanical state over milli-second timescales. Such ultra-low quantum decoherence not only increases the fidelity of quantum control over macroscopic mechanical systems, but may equally benefit mechanical oscillator-based schemes for quantum computing and transduction, fundamental tests of quantum mechanics itself, or searches for dark matter.