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Evolution of Many-body Systems Under Ancilla Quantum Measurements by Doggen, Elmer V. H.; Gefen, Yuval; Gornyi, Igor V.; Mirlin, Alexander D.; Polyakov, Dmitry G. is a scholarly article available to read on EtoBox.

What is Evolution of Many-body Systems Under Ancilla Quantum Measurements about?

Measurement-induced phase transitions are the subject of intense current research, both from an experimental and a theoretical perspective. We explore the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom (implemented using two additional sites), on which projective measurements are performed. We analyze the effect of repeated (``stroboscopic'') measurements on the dynamical correlations of interacting hard-core bosons in a one-dimensional chain. An important distinctive ingredient of the protocol is the fact that the detector ancillas are not re-initialized after each measurement step. The detector thus maintains memory of the accumulated influence by the measured correlated system. Initially, we consider a model in which the ancilla is coupled to a single lattice site. This setup allows obtaining information about the system through Rabi oscillations in the ancillary degrees of freedom, modulated by the ancilla-system interaction. The statistics of quantum trajectories exhibits a ``quantum-Zeno-valve effect'' that occurs when the measurement becomes strong, with sharp branching between low and high entanglement.

Author

Doggen, Elmer V. H.; Gefen, Yuval; Gornyi, Igor V.; Mirlin, Alexander D.; Polyakov, Dmitry G.

Published

2023

Language

EN