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title = {Real-Time Bubble Nucleation and Growth for False Vacuum Decay on the Lattice},
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author = {Maertens, Daan and Haegeman, Jutho and Acoleyen, Karel Van},
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year = 2025,
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month = aug,
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number = {arXiv:2508.13645},
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eprint = {2508.13645},
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primaryclass = {cond-mat},
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publisher = {arXiv},
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doi = {10.48550/arXiv.2508.13645},
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url = {http://arxiv.org/abs/2508.13645},
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abstract = {We revisit quantum false vacuum decay for the one-dimensional Ising model, focusing on the real-time nucleation and growth of true vacuum bubbles. Via matrix product state simulations, we demonstrate that for a wide range of parameters, the full time-dependent quantum state is well described by a Gaussian ansatz in terms of domain wall operators, with the associated vacuum bubble wave function evolving according to the linearized time-dependent variational principle. The emerging picture shows three different stages of evolution: an initial nucleation of small bubbles, followed by semi-classical bubble growth, which in turn is halted by the lattice phenomenon of Bloch oscillations. Furthermore, we find that the resonant bubble only plays a significant role in a certain region of parameter-space. However, when significant, it does lead to an approximately constant decay rate during the intermediate stage. Moreover, this rate is in quantitative agreement with the analytical result of Rutkevich (Phys. Rev. B 60, 14525) for which we provide an independent derivation based on the Gaussian ansatz.},
author = {Mortier, Quinten and Devos, Lukas and Burgelman, Lander and Vanhecke, Bram and Bultinck, Nick and Verstraete, Frank and Haegeman, Jutho and Vanderstraeten, Laurens},
@@ -353,6 +369,37 @@ @article{roose2022
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langid = {english}
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}
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@misc{shen2025,
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title = {Exploring the Phase Diagram of \${{SU}}(2)\_4\$ Strange Correlator},
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author = {Shen, Ce},
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year = 2025,
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month = feb,
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number = {arXiv:2502.14556},
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eprint = {2502.14556},
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primaryclass = {hep-th},
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publisher = {arXiv},
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doi = {10.48550/arXiv.2502.14556},
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url = {http://arxiv.org/abs/2502.14556},
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abstract = {We investigate the phase diagram of a quantum many-body system constructed via the strange correlator approach, based on the non-Abelian \$SU(2)\_4\$ fusion category, to probe topological phase transitions. Using tensor network methods, we numerically compute the half-infinite chain entanglement entropy derived from the dominant eigenvector of the transfer matrix and map the entropy across a spherical two-dimensional parameter space. Our results reveal a phase diagram significantly more complex than previously reported, including a gapless phase consistent with a conformal field theory (CFT) of central charge \$c=1\$. Critical lines separating distinct phases are identified, with one such line bounding the CFT phase exhibiting a higher central charge \$c=2\$, indicative of an unconventional critical regime.},
abstract = {The contraction of tensor networks is a central task in the application of tensor network methods to the study of quantum and classical many-body systems. In this paper, we investigate the impact of gauge degrees of freedom in the virtual indices of the tensor network on the contraction process, specifically focusing on boundary matrix product state methods for contracting two-dimensional tensor networks. We show that the gauge transformation can affect the entanglement structures of the eigenstates of the transfer matrix and change how the physical information is encoded in the eigenstates, which can influence the accuracy of the numerical simulation. We demonstrate this effect by looking at two different examples. First, we focus on the local gauge transformation, and analyze its effect by viewing it as an imaginary-time evolution governed by a diagonal Hamiltonian. As a specific example, we perform a numerical analysis in the classical Ising model on the square lattice. Second, we go beyond the scope of local gauge transformations and study the antiferromagnetic Ising model on the triangular lattice. The partition function of this model has two tensor network representations connected by a nonlocal gauge transformation, resulting in distinct numerical performances in the boundary matrix product state calculation.}
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}
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@article{ueda2024,
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title = {Chiral {{Edge States Emerging}} on {{Anyon-Net}}},
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author = {Ueda, Atsushi and Inamura, Kansei and Ohmori, Kantaro},
abstract = {SciPost Journals Publication Detail SciPost Phys. Core 8, 062 (2025) Chiral edge states emerging on anyon-net},
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langid = {english}
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}
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@article{vandamme2021,
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title = {Efficient Matrix Product State Methods for Extracting Spectral Information on Rings and Cylinders},
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author = {Van Damme, Maarten and Vanhove, Robijn and Haegeman, Jutho and Verstraete, Frank and Vanderstraeten, Laurens},
@@ -458,6 +521,22 @@ @article{vanhove2022
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abstract = {We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the Haagerup fusion category {$\mathcal{H}$}3 as input data. We present compelling numerical evidence in the form of finite entanglement scaling to support a Haagerup conformal field theory (CFT) with central charge {$c$} =2. Generalized twisted CFT spectra are numerically obtained through exact diagonalization of the transfer matrix, and the conformal towers are separated in the spectra through their identification with the topological sectors. It is further argued that our model can be obtained through an orbifold procedure from a larger lattice model with input {$Z$}({$\mathcal{H}$}3), which is the simplest modular tensor category that does not admit an algebraic construction. This provides a counterexample for the conjecture that all rational CFT can be constructed from standard methods.}
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}
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@article{vrancken2025,
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title = {Quantitative {{Description}} of {{Strongly Correlated Materials}} by {{Combining Downfolding Techniques}} and {{Tensor Networks}}},
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author = {Vrancken, Daan and Ganne, Simon and Verraes, Daan and Braeckevelt, Tom and Devos, Lukas and Vanderstraeten, Laurens and Haegeman, Jutho and Van Speybroeck, Veronique},
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year = 2025,
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month = aug,
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journal = {Journal of Chemical Theory and Computation},
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