Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
Emanuele Tirrito, Alessandro Santini, Rosario Fazio, Mario Collura
SciPost Phys. 15, 096 (2023) · published 14 September 2023
- doi: 10.21468/SciPostPhys.15.3.096
- Submissions/Reports
Abstract
Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce different non-equilibrium regimes and an abrupt change in the scaling-law of the bipartite entanglement entropy. However, our understanding of how these regimes appear{, how they affect the statistics of local quantities and}, finally whether they survive in the thermodynamic limit, is much less established. Here we investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. In particular we show that local projective measurements induce a quantitative modification of the out-of-equilibrium probability distribution function of the local magnetization. Starting from a GHZ state, the relaxation of the paramagnetic and the ferromagnetic order is analysed. In particular we describe how the probability distributions associated to them show different behaviour depending on the measurement rate.
Cited by 24
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Emanuele Tirrito,
- 2 Alessandro Santini,
- 1 3 Rosario Fazio,
- 2 4 Mario Collura
- 1 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 2 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 3 UniversitĂ degli Studi di Napoli Federico II / University of Naples Federico II
- 4 INFN Sezione di Trieste / INFN Trieste