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arxiv: 2605.22947 · v1 · pith:VOPPX7J7new · submitted 2026-05-21 · 🪐 quant-ph · cond-mat.stat-mech· hep-lat

Entanglement-facilitated macroscopic cluster formation in quantum many-body dynamics

Xiao Wang , Alexander Yosifov , Aditya Iyer , Jinzhao Sun This is my paper

Pith reviewed 2026-05-25 05:42 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.stat-mechhep-lat
keywords false-vacuum decayquantum Ising modelinitial-state entanglementcluster formationmany-body dynamicsinformation preservationpre-quench correlations2D quantum systems
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The pith

Initial-state entanglement suppresses true-vacuum bubble proliferation and stabilizes macroscopic connected clusters in a 2D quantum Ising model.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines how initial conditions affect the ability of quantum many-body systems to maintain large-scale structures during dynamics. In the 2D quantum Ising model undergoing false-vacuum decay, product states lead to rapid fragmentation into uncorrelated domains. However, starting with entangled states slows the spread of true-vacuum bubbles, preserving system-size clusters. This effect relies on the specific form of pre-quench correlations rather than just the amount of entanglement entropy. The work links initial-state preparation to the long-term stability of global information encoded in non-local correlations.

Core claim

While product states rapidly fragment into uncorrelated domains, initial-state entanglement suppresses the proliferation of true-vacuum bubbles and stabilises macroscopic connected clusters. This passive stabilisation depends on the specific pre-quench correlations, not merely on entanglement entropy.

What carries the argument

false-vacuum decay dynamics in the 2D quantum Ising model with varying initial-state entanglement

If this is right

  • Entangled initial states sustain system-size cluster structures for longer times than product states.
  • The specific form of pre-quench correlations, not entanglement entropy alone, controls the suppression of bubble proliferation.
  • Initial-state preparation offers a passive route to protecting global structures that encode non-local information.
  • This mechanism connects initial conditions directly to the dynamical resilience of large-scale order in 2D many-body evolution.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same correlation-dependent stabilisation may appear in other lattice models or in three dimensions, offering a testable extension beyond the Ising case.
  • Experiments on quantum simulators could vary the initial correlation pattern while holding entanglement entropy fixed to isolate the effect.
  • If the stabilisation holds, it would imply that certain entangled preparations reduce the need for active correction when maintaining macroscopic order.

Load-bearing premise

The 2D quantum Ising model is taken as the appropriate setting for studying the preservation of global information in quantum many-body dynamics.

What would settle it

Numerical or experimental comparison showing whether specific pre-quench entangled states produce measurably larger connected clusters than product states at late times during false-vacuum decay.

Figures

Figures reproduced from arXiv: 2605.22947 by Aditya Iyer, Alexander Yosifov, Jinzhao Sun, Xiao Wang.

Figure 1
Figure 1. Figure 1: FIG. 1: (a) The energy landscape of FV decay in the studied [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: First-passage time [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Time evolution of the largest-cluster distribution [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Extension of the percolation-oriented cluster observables results shown in Fig. [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Quench dynamics of the 2D TLFIM for system sizes (a) 4 [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
read the original abstract

The capacity of a quantum many-body system to preserve global information -- encoded in the non-local correlations -- is a prerequisite for robust quantum computing. Unlike local degrees of freedom, large structures offer inherent resilience to noise, but their stability is often compromised by dynamical fragmentation and local excitations. In this work, we investigate under what initial conditions the quantum dynamics can sustain system-size cluster structures by examining false-vacuum decay dynamics in a 2D quantum Ising model. We find that while product states rapidly fragment into uncorrelated domains, initial-state entanglement suppresses the proliferation of true-vacuum bubbles and stabilises macroscopic connected clusters. We find that this passive stabilisation is not a mere consequence of entanglement entropy but rather depends on the specific pre-quench correlations. Our results establish a connection between initial-state preparation and the preservation of global structures, highlighting the role of entanglement for the passive protection of information in 2D quantum many-body simulation.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript investigates false-vacuum decay dynamics in the 2D quantum Ising model. It claims that product initial states rapidly fragment into uncorrelated domains, whereas initial-state entanglement suppresses proliferation of true-vacuum bubbles and stabilizes macroscopic connected clusters; this passive stabilization depends on specific pre-quench correlations rather than entanglement entropy alone. The work connects initial-state preparation to preservation of global structures in quantum many-body dynamics.

Significance. If the central claim holds, the distinction between entanglement entropy and specific pre-quench correlations offers a concrete mechanism for passive protection of large-scale structures, with relevance to quantum information resilience and many-body simulation. The comparison between product and entangled states provides a falsifiable test of the role of correlations.

major comments (1)
  1. [Results] The central claim that stabilization arises from specific pre-quench correlations (rather than entropy) requires explicit comparison of states with matched entanglement entropy but differing correlation structure; without this, the distinction cannot be established. The manuscript does not provide the required control calculations or state definitions.
minor comments (2)
  1. [Abstract] The abstract and introduction should specify the lattice sizes, quench parameters, and numerical method (e.g., exact diagonalization, tensor networks) used to reach the reported conclusions.
  2. [Introduction] Notation for the initial-state wavefunctions and the definition of 'macroscopic connected clusters' should be introduced earlier and used consistently.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comment. We address the major point below.

read point-by-point responses

  1. Referee: [Results] The central claim that stabilization arises from specific pre-quench correlations (rather than entropy) requires explicit comparison of states with matched entanglement entropy but differing correlation structure; without this, the distinction cannot be established. The manuscript does not provide the required control calculations or state definitions.

    Authors: We agree that an explicit comparison of states with matched entanglement entropy but differing correlation structures is required to rigorously isolate the role of specific pre-quench correlations from that of entanglement entropy alone. Our existing results compare product states (zero entropy) against entangled states possessing particular correlation patterns, which already indicate that entropy is insufficient; however, we acknowledge that this does not yet constitute the matched-entropy control the referee requests. In the revised manuscript we will introduce additional initial states (constructed, for example, via variational methods or engineered correlation patterns that preserve entanglement entropy while altering two-point or higher-order correlations) and present the corresponding dynamical simulations to establish the distinction. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper reports numerical observations from false-vacuum decay dynamics in the 2D quantum Ising model, showing that product states fragment while certain entangled initial states suppress bubble proliferation and stabilize macroscopic clusters. This is framed as a comparison between distinct classes of initial conditions rather than a closed derivation; the central claim rests on the difference in dynamical outcomes, which is externally checkable via simulation and does not reduce to a redefinition of inputs, a fitted parameter renamed as prediction, or a self-citation chain. No equations or uniqueness theorems are invoked that collapse back onto the paper's own assumptions.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Based on abstract, the main assumption is the choice of model; no free parameters or new entities mentioned.

axioms (1)
  • domain assumption The 2D quantum Ising model captures the essential dynamics for false-vacuum decay and cluster formation.
    Invoked implicitly as the setting for the study in the abstract.

pith-pipeline@v0.9.0 · 5699 in / 1159 out tokens · 38666 ms · 2026-05-25T05:42:18.540344+00:00 · methodology

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Reference graph

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