Full counting statistics as probe of measurement-induced transitions in
the quantum Ising chain
- URL: http://arxiv.org/abs/2212.09405v3
- Date: Thu, 15 Jun 2023 13:53:14 GMT
- Title: Full counting statistics as probe of measurement-induced transitions in
the quantum Ising chain
- Authors: Emanuele Tirrito, Alessandro Santini, Rosario Fazio and Mario Collura
- Abstract summary: We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization.
In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 distribution of the
former shows different behaviour in the area-law and volume-law regimes.
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