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Single-shot determination of quantum phases via continuous measurements

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Patra,  Aniket
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Nielsen,  Anne E. B.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Patra, A., Buchmann, L. F., Motzoi, F., Molmer, K., Sherson, J., & Nielsen, A. E. B. (2022). Single-shot determination of quantum phases via continuous measurements. Physical Review A, 106(3). doi:10.1103/PhysRevA.106.032215.


Cite as: https://hdl.handle.net/21.11116/0000-000C-806F-7
Abstract
We propose that weak continuous probing may be exploited to determine and define quantum phases of complex many-body systems based on the measurement record alone. We test the resulting phase criterion in numerical simulations of measurements on the Bose-Hubbard model and the quantum Ising chain. This yields a phase transition point in reasonable agreement with the quantum phase transition in the ground state of the closed system in the thermodynamic limit, despite the system being highly excited through the measurement dynamics. At high measurement strengths, the system's response enters a Zeno regime suppressing transitions between eigenstates of the measurement operator.