While the effect of vacuum fields on atomic system (such as through the Lamb shift) is well known, there is a recent interest in controlling the many-body phases of solid-state systems using vacuum fluctuations strongly coupled to such a system inside a microcavity. In such a system, the strength of the electric field caused by the vacuum fluctuations, to which the strength of the light-matter coupling W R is proportional, scales inversely with the cavity volume. One very interesting feature of the circuit-based resonators is the fact that this volume can be scaled down to deep subwavelength values in all three dimension of space [1]. We have used transport to probe the ultra-strong light-matter coupling [2] and shown that the latter can induce a breakdown of the integer quantum Hall effect [3]. We have also explored the effect of a cavity on the fractional quantum Hall effect using a hovering cavity experiment [4].
In similar experiments performed in slot-antenna cavities, we have also observed that the cavity is able to dramatically suppress the longitudinal conductance between two successive plateau for some relatively high filling factors corresponding to magnetic fields 1-3T. These magneto-transport experiments are interpreted as a transport anisotropy that arises from ordering of the stripe phase through the vacuum fluctuations of the resonator.
