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.

Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain / Tirrito, Emanuele; Santini, Alessandro; Fazio, Rosario; Collura, Mario. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 15:3(2023), pp. 1-22. [10.21468/SciPostPhys.15.3.096]

Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain

Tirrito, Emanuele;Santini, Alessandro;Collura, Mario
2023-01-01

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.
2023
15
3
1
22
096
10.21468/SciPostPhys.15.3.096
https://arxiv.org/abs/2212.09405
Tirrito, Emanuele; Santini, Alessandro; Fazio, Rosario; Collura, Mario
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/136052
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