Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization

• URL: http://arxiv.org/abs/2104.10451v4
• Date: Wed, 13 Apr 2022 12:19:34 GMT
• Title: Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Authors: Elmer V. H. Doggen, Yuval Gefen, Igor V. Gornyi, Alexander D. Mirlin and Dmitry G. Polyakov
• Abstract summary: We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
• Score: 58.720142291102135
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a method, based on matrix product states, for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. Both the frequency and the strength of generalized measurements can be varied within our scheme, thus allowing us to explore the corresponding two-dimensional phase diagram. The method is applied to one-dimensional chains of nearest-neighbor interacting hard-core bosons. A transition from an entangling to a disentangling (area-law) phase is found. However, by resolving time-dependent density correlations in the monitored system, we find important differences between different regions at the phase boundary. In particular, we observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.

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