Physical Review Research (May 2022)

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

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

DOI
https://doi.org/10.1103/PhysRevResearch.4.023146
Journal volume & issue
Vol. 4, no. 2
p. 023146

Abstract

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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.