Abstract

I will discuss a method [1], 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. Time permitting, I will discuss ongoing work adapting this scheme to ancilla-based measurements. [2]

[1] EVHD, Yuval Gefen, Igor V. Gornyi, Alexander D. Mirlin, Dmitry G. Polyakov, Phys. Rev. Research 4, 023146 (2022)
[2] EVHD et al., in preparation