Sensing quantum chaos through the non-unitary geometric phase

VILLAR, PAULA I; MIRKIN, NICOLÁS; LOMBARDO, FERNANDO C; WISNIACKI, DIEGO A.

Quantum Science and Technology

IOP

Lugar: Londres; Año: 2021 vol. 6 p. 1 - 13

Quantum chaos is usually characterized through its statistical implications on the energy spectrumof a given system. In this work we propose a decoherent mechanism for sensing quantum chaos.The chaotic nature of a many-body quantum system is sensed by studying the implications that itproduces in the long-time dynamics of a probe coupled to it under a dephasing interaction. Byintroducing the notion of an effective averaged decoherence factor, we show that the correction tothe geometric phase acquired by the probe with respect to its unitary evolution can be exploited asa robust tool for sensing the integrable to chaos transition of the many-body quantum system towhich it is coupled. This sensing mechanism is verified for several systems with different types ofsymmetries, disorder and even in the presence of long-range interactions, evidencing itsuniversality.