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Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain

by Jeff Maki, Anna Berti, Iacopo Carusotto, Alberto Biella

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Submission summary

Authors (as registered SciPost users): Alberto Biella · Iacopo Carusotto · Jeffrey Allan Maki
Submission information
Preprint Link: scipost_202306_00013v2  (pdf)
Date accepted: 2023-08-29
Date submitted: 2023-08-18 13:55
Submitted by: Maki, Jeffrey Allan
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Computational
  • Quantum Physics
Approaches: Theoretical, Computational


In this work we characterize the false vacuum decay in the ferromagnetic quantum Ising chain with a weak longitudinal field subject to continuous monitoring of the local magnetization. Initializing the system in a metastable state, the false vacuum, we study the competition between coherent dynamics, which tends to create resonant bubbles of the true vacuum, and measurements which induce heating and reduce the amount of quantum correlations. To this end we exploit a numerical approach based on the combination of matrix product states with stochastic quantum trajectories which allows for the simulation of the trajectory-resolved non-equilibrium dynamics of interacting many-body systems in the presence of continuous measurements. We show how the presence of measurements affects the false vacuum decay: at short times the departure from the local minimum is accelerated while at long times the system thermalizes to an infinite-temperature incoherent mixture. For large measurement rates the system enters a quantum Zeno regime. The false vacuum decay and the thermalization physics are characterized in terms of the magnetization, connected correlation function, and the trajectory-resolved entanglement entropy.

Published as SciPost Phys. 15, 152 (2023)

Author comments upon resubmission

Dear editors and referees,

We would like to thank you for your careful and critical reading of our manuscript. The feedback has improved the quality of the presentation greatly. We have taken the time to address each and all of the referee concerns. We hope this improved version meets the referees' standards, and we are now resubmitting the manuscript to SciPost Physics.

List of changes

The following is the list of changes:

-Added a discussion about the choice of jump operators
-Improved the explanation of the uncorrelated Poisson processes and how it parametrize the state of a system for a single experimental realization
- Improved discussion on the steady state
-Added a discussion about the statistical variance and how it depends on the number of trajectories. The calculated variance has been added to the appropriate figures.
-Restructured the results section to improve readability and highlight the connections between results
-Added a discussion about the non-monotonic nature of the entanglement entropy
-Updated figures 8-10
- Improved the discussions on the derivation of the thermalization time scale
-Several minor grammatical and clerical changes
-Added references 26, 27, and 44 of the new manuscript

Reports on this Submission

Anonymous Report 1 on 2023-8-18 (Invited Report)


The authors have addressed my concerns in a comprehensive and satisfactory manner. Their revisions and explanations have improved the clarity and quality of the manuscript. I now recommend publication in SciPost Physics.

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Anonymous on 2023-08-25  [id 3928]

The authors have answered to all my questions and have modified the manuscript in a satisfactory way. I think the the revised version has improved its quality and is now suitable for publication in SciPost Physics.