From 9eee5feb8c2d76eafd8b6f04ca157c057626c373 Mon Sep 17 00:00:00 2001 From: lkdvos Date: Thu, 30 Jul 2026 17:23:57 -0400 Subject: [PATCH 1/2] docs(references): add 20 publications that used MPSKit to the bibliography Adds the entries collected for the 2026 and late-2025 batch of works that use MPSKit, inserted in the file's existing alphabetical-by-key order. A few entries carry a `%` note recording that the MPSKit citation could not be independently confirmed while collecting them. Co-Authored-By: Claude Opus 5 (1M context) --- docs/src/assets/mpskit.bib | 290 +++++++++++++++++++++++++++++++++++++ 1 file changed, 290 insertions(+) diff --git a/docs/src/assets/mpskit.bib b/docs/src/assets/mpskit.bib index 0b6da1846..e239b0989 100644 --- a/docs/src/assets/mpskit.bib +++ b/docs/src/assets/mpskit.bib @@ -1,3 +1,17 @@ +@misc{basumatary2026, + title = {Cosmological Correlators Using Tensor Networks}, + author = {Basumatary, Ujjwal and Sinha, Aninda and Zhou, Xinan}, + year = {2026}, + month = mar, + number = {arXiv:2603.26090}, + eprint = {2603.26090}, + primaryclass = {hep-th}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2603.26090}, + url = {https://arxiv.org/abs/2603.26090}, + archiveprefix = {arXiv} +} + @article{belyansky2024, title = {High-{{Energy Collision}} of {{Quarks}} and {{Mesons}} in the {{Schwinger Model}}: {{From Tensor Networks}} to {{Circuit QED}}}, shorttitle = {High-{{Energy Collision}} of {{Quarks}} and {{Mesons}} in the {{Schwinger Model}}}, @@ -14,6 +28,20 @@ @article{belyansky2024 abstract = {With the aim of studying nonperturbative out-of-equilibrium dynamics of high-energy particle collisions on quantum simulators, we investigate the scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions. Working in the bosonized formulation of the model and in the thermodynamic limit, we use uniform-matrix-product-state tensor networks to construct multiparticle wave-packet states, evolve them in time, and detect outgoing particles post collision. This facilitates the numerical simulation of scattering experiments in both confined and deconfined regimes of the model at different energies, giving rise to rich phenomenology, including inelastic production of quark and meson states, meson disintegration, and dynamical string formation and breaking. We obtain elastic and inelastic scattering cross sections, together with time-resolved momentum and position distributions of the outgoing particles. Furthermore, we propose an analog circuit-QED implementation of the scattering process that is native to the platform, requires minimal ingredients and approximations, and enables practical schemes for particle wave-packet preparation and evolution. This study highlights the role of classical and quantum simulation in enhancing our understanding of scattering processes in quantum field theories in real time.} } +@misc{brehmer2026, + title = {{{PEPSKit.jl}}: A {{Julia}} Package for Projected Entangled-Pair State Simulations}, + author = {Brehmer, Paul and Burgelman, Lander and Yue, Zheng-Yuan and Fedorovich, Gleb and Haegeman, Jutho and Devos, Lukas}, + year = {2026}, + month = may, + number = {arXiv:2605.19960}, + eprint = {2605.19960}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2605.19960}, + url = {https://arxiv.org/abs/2605.19960}, + archiveprefix = {arXiv} +} + @article{capponi2025, title = {Non-{{Landau}} Quantum Phase Transition in Modulated {{SU}}(\${{N}}\$) {{Heisenberg}} Spin Chains}, author = {Capponi, Sylvain and Devos, Lukas and Lecheminant, Philippe and Totsuka, Keisuke and Vanderstraeten, Laurens}, @@ -182,6 +210,20 @@ @article{herviou2025 abstract = {The Affleck-Kennedy-Lieb-Tasaki (AKLT) point of the bilinear-biquadratic spin-1 chain is a cornerstone example of a disorder point where short-range correlations become incommensurate, and correlation lengths and momenta are nonanalytic. While the presence of singularities appears to be generic for AKLT points, we show that for a family of SU⁡({$n$}) models, the AKLT point is not a disorder point: It occurs entirely within an incommensurate phase yet the wave vector remains singular on both sides of the AKLT point. We conjecture that this possibility is generic for models where the representation is not self-conjugate and the transfer matrix non-Hermitian, while for self-conjugate representations the AKLT points remain disorder points.} } +@misc{hormann2026, + title = {Folds of One Curve: The Superradiant Phase Diagram of {{Dicke}} Modes with Interacting Matter}, + author = {H{\"o}rmann, Max}, + year = {2026}, + month = jun, + number = {arXiv:2606.26081}, + eprint = {2606.26081}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2606.26081}, + url = {https://arxiv.org/abs/2606.26081}, + archiveprefix = {arXiv} +} + @article{jeckelmann2002, title = {Dynamical Density-Matrix Renormalization-Group Method}, author = {Jeckelmann, Eric}, @@ -197,6 +239,34 @@ @article{jeckelmann2002 abstract = {A density-matrix renormalization-group (DMRG) method for calculating dynamical properties and excited states in low-dimensional lattice quantum many-body systems is presented. The method is based on an exact variational principle for dynamical correlation functions and the excited states contributing to them. This dynamical DMRG is an alternate formulation of the correction vector DMRG but is both simpler and more accurate. The finite-size scaling of spectral functions is discussed and a method for analyzing the scaling of dense spectra is described. The key idea of the method is a size-dependent broadening of the spectrum. The dynamical DMRG and the finite-size scaling analysis are demonstrated on the optical conductivity of the one-dimensional Peierls-Hubbard model. Comparisons with analytical results show that the spectral functions of infinite systems can be reproduced almost exactly with these techniques. The optical conductivity of the Mott-Peierls insulator is investigated and it is shown that its spectrum is qualitatively different from the simple spectra observed in Peierls (band) insulators and one-dimensional Mott-Hubbard insulators.} } +@misc{kadow2026, + title = {Fractionalization from Kinetic Frustration in Doped Two-Dimensional {{SU}}(4) Quantum Magnets}, + author = {Kadow, Wilhelm and Morera, Ivan and Demler, Eugene and Knap, Michael}, + year = {2026}, + month = mar, + number = {arXiv:2603.28871}, + eprint = {2603.28871}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2603.28871}, + url = {https://arxiv.org/abs/2603.28871}, + archiveprefix = {arXiv} +} + +@misc{kaplan2026, + title = {Wavelet {{Matrix Product States}} for {{Quantum Fields}}}, + author = {Kaplan, Molly and Tilloy, Antoine}, + year = {2026}, + month = jun, + number = {arXiv:2606.23823}, + eprint = {2606.23823}, + primaryclass = {quant-ph}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2606.23823}, + url = {https://arxiv.org/abs/2606.23823}, + archiveprefix = {arXiv} +} + @misc{kirchner2025, title = {Phases of {{Interacting Fibonacci Anyons}} on a {{Ladder}} at {{Half-Filling}}}, author = {Kirchner, Nico and Moessner, Roderich and Pollmann, Frank and {Gammon-Smith}, Adam}, @@ -229,6 +299,21 @@ @misc{linden2025 keywords = {Condensed Matter - Strongly Correlated Electrons,Quantum Physics} } +% NOTE: MPSKit appears in the bibliography; primary numerics use ITensor. +@misc{lu2026, + title = {Generalized {{Kramers-Wannier Self-Duality}} in {{Hopf-Ising Models}}}, + author = {Lu, Da-Chuan and Chatterjee, Arkya and Tantivasadakarn, Nathanan}, + year = {2026}, + month = feb, + number = {arXiv:2602.10183}, + eprint = {2602.10183}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2602.10183}, + url = {https://arxiv.org/abs/2602.10183}, + archiveprefix = {arXiv} +} + @misc{maertens2025, title = {Real-Time Bubble Nucleation and Growth for False Vacuum Decay on the Lattice}, author = {Maertens, Daan and Haegeman, Jutho and Acoleyen, Karel Van}, @@ -307,6 +392,20 @@ @article{pollmann2009 abstract = {Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than noncritical states. Standard algorithms for one-dimensional systems construct model states with limited entanglement, which are a worse approximation to quantum critical states than to others. We give a quantitative theory of previously observed scaling behavior resulting from finite entanglement at quantum criticality. Finite-entanglement scaling in one-dimensional systems is governed not by the scaling dimension of an operator but by the "central charge" of the critical point. An important ingredient is the universal distribution of density-matrix eigenvalues at a critical point [P. Calabrese and A. Lefevre, Phys. Rev. A 78, 032329 (2008)]. The parameter-free theory is checked against numerical scaling at several quantum critical points.} } +@misc{ritter2026, + title = {Fast Elementwise Operations on Tensor Trains with Alternating Cross Interpolation}, + author = {Ritter, Marc K.}, + year = {2026}, + month = apr, + number = {arXiv:2604.00037}, + eprint = {2604.00037}, + primaryclass = {math.NA}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2604.00037}, + url = {https://arxiv.org/abs/2604.00037}, + archiveprefix = {arXiv} +} + @article{rogerson2024, title = {Quantum {{Circuit Optimization}} Using {{Differentiable Programming}} of {{Tensor Network States}}}, author = {Rogerson, David and Roy, Ananda}, @@ -369,6 +468,20 @@ @article{roose2022 langid = {english} } +@misc{shankar2026, + title = {Finite-{{Element Matrix Product States}} for {{Continuum Models}} in {{One Dimension}}}, + author = {Shankar, Akshay and {Van Acoleyen}, Karel and Haegeman, Jutho}, + year = {2026}, + month = jun, + number = {arXiv:2606.14873}, + eprint = {2606.14873}, + primaryclass = {quant-ph}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2606.14873}, + url = {https://arxiv.org/abs/2606.14873}, + archiveprefix = {arXiv} +} + @misc{shen2025, title = {Exploring the Phase Diagram of SU(2)_4 Strange Correlator}, author = {Shen, Ce}, @@ -385,6 +498,51 @@ @misc{shen2025 keywords = {Condensed Matter - Strongly Correlated Electrons,High Energy Physics - Theory} } +% NOTE: lecture notes; MPSKit citation not independently confirmed during review. +@misc{sinha2025, + title = {Lectures on Quantum Field Theory on a Quantum Computer}, + author = {Sinha, Aninda and Basumatary, Ujjwal}, + year = {2025}, + month = dec, + number = {arXiv:2512.02706}, + eprint = {2512.02706}, + primaryclass = {quant-ph}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2512.02706}, + url = {https://arxiv.org/abs/2512.02706}, + archiveprefix = {arXiv} +} + +@article{sommer2025, + title = {Higher Berry Curvature from the Wave Function. I. {{Schmidt}} Decomposition and Matrix Product States}, + author = {Sommer, Ophelia Evelyn and Wen, Xueda and Vishwanath, Ashvin}, + year = {2025}, + month = apr, + journal = {Physical Review Letters}, + volume = {134}, + number = {14}, + pages = {146601}, + publisher = {American Physical Society}, + doi = {10.1103/PhysRevLett.134.146601}, + url = {https://link.aps.org/doi/10.1103/PhysRevLett.134.146601}, + eprint = {2405.05316}, + archiveprefix = {arXiv} +} + +@misc{staelens2026, + title = {Combining Matrix Product States and Mean-Field Theory to Capture Magnetic Order in Quasi-1D Cuprates}, + author = {Staelens, Quentin and Verraes, Daan and Vrancken, Daan and Braeckevelt, Tom and Haegeman, Jutho and {Van Speybroeck}, Veronique}, + year = {2026}, + month = feb, + number = {arXiv:2602.21695}, + eprint = {2602.21695}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2602.21695}, + url = {https://arxiv.org/abs/2602.21695}, + archiveprefix = {arXiv} +} + @article{tang2025, title = {Matrix Product State Fixed Points of Non-{{Hermitian}} Transfer Matrices}, author = {Tang, Wei and Verstraete, Frank and Haegeman, Jutho}, @@ -431,6 +589,34 @@ @article{ueda2025 langid = {english} } +@misc{ueda2026, + title = {Emergent {{Andreev Reflection}} from a {{Lattice Duality Defect}}}, + author = {Ueda, Atsushi and Numasawa, Tokiro and {De Vos}, Boris and Watanabe, Masataka}, + year = {2026}, + month = jun, + number = {arXiv:2606.23684}, + eprint = {2606.23684}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2606.23684}, + url = {https://arxiv.org/abs/2606.23684}, + archiveprefix = {arXiv} +} + +% NOTE: published SciPost lecture notes; MPSKit citation not independently confirmed during review. +@article{vancraeynestdecuiper2026, + title = {Les {{Houches}} Lecture Notes on Tensor Networks}, + author = {{Vancraeynest-De Cuiper}, Bram and Wiesiolek, Weronika and Verstraete, Frank}, + year = {2026}, + journal = {SciPost Physics Lecture Notes}, + pages = {128}, + issn = {2590-1990}, + doi = {10.21468/SciPostPhysLectNotes.128}, + url = {https://scipost.org/10.21468/SciPostPhysLectNotes.128}, + eprint = {2512.24390}, + archiveprefix = {arXiv} +} + @article{vandamme2021, title = {Efficient Matrix Product State Methods for Extracting Spectral Information on Rings and Cylinders}, author = {Van Damme, Maarten and Vanhove, Robijn and Haegeman, Jutho and Verstraete, Frank and Vanderstraeten, Laurens}, @@ -477,6 +663,23 @@ @article{vandamme2024 langid = {english} } +% NOTE: published Communications Physics; MPSKit citation not independently confirmed during review. +@article{vandamme2025pseudogenerators, + title = {Suppressing Nonperturbative Gauge Errors in the Thermodynamic Limit Using Local Pseudogenerators}, + author = {{Van Damme}, Maarten and Mildenberger, Julius and Grusdt, Fabian and Hauke, Philipp and Halimeh, Jad C.}, + year = {2025}, + month = mar, + journal = {Communications Physics}, + volume = {8}, + number = {1}, + pages = {106}, + publisher = {Springer Nature}, + doi = {10.1038/s42005-025-02035-y}, + url = {https://www.nature.com/articles/s42005-025-02035-y}, + eprint = {2110.08041}, + archiveprefix = {arXiv} +} + @article{vanderstraeten2019, title = {Tangent-Space Methods for Uniform Matrix Product States}, author = {Vanderstraeten, Laurens and Haegeman, Jutho and Verstraete, Frank}, @@ -521,6 +724,34 @@ @article{vanhove2022 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.} } +@misc{vanthilt2026, + title = {Matrix {{Product Operator}} Encodings of the {{Magnus Expansion}} and {{Dyson Series}}}, + author = {Vanthilt, Victor and {Van Damme}, Maarten and Haegeman, Jutho and McCulloch, Ian P. and Vanderstraeten, Laurens}, + year = {2026}, + month = may, + number = {arXiv:2605.21597}, + eprint = {2605.21597}, + primaryclass = {quant-ph}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2605.21597}, + url = {https://arxiv.org/abs/2605.21597}, + archiveprefix = {arXiv} +} + +@misc{veitas2026, + title = {Fluctuation-Driven Chiral Ferromagnetism}, + author = {Veitas, Rokas and Khalifa, Ahmed and Machado, Francisco and Chatterjee, Shubhayu}, + year = {2026}, + month = may, + number = {arXiv:2605.06852}, + eprint = {2605.06852}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2605.06852}, + url = {https://arxiv.org/abs/2605.06852}, + archiveprefix = {arXiv} +} + @article{vrancken2025, title = {Quantitative {{Description}} of {{Strongly Correlated Materials}} by {{Combining Downfolding Techniques}} and {{Tensor Networks}}}, 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}, @@ -553,6 +784,20 @@ @article{weerda2024 abstract = {An important class of model Hamiltonians for investigation of topological phases of matter consists of mobile, interacting particles on a lattice subject to a semiclassical gauge field, as exemplified by the bosonic Harper-Hofstadter model. A unique method for investigations of two-dimensional quantum systems are the infinite projected-entangled pair states, as they avoid spurious finite-size effects that can alter the phase structure. However, due to no-go theorems in related cases, this was often conjectured to be impossible in the past. In this Letter, we show that upon variational optimization, the infinite projected-entangled pair states can be used to this end by identifying fractional Hall states in the bosonic Harper-Hofstadter model. The obtained states are characterized by showing exponential decay of bulk correlations, as dictated by a bulk gap, as well as chiral edge modes via the entanglement spectrum.} } +@misc{yang2026, + title = {Transfer-Matrix Functions for Algebraically Decaying Interactions in Variational Infinite Matrix Product States}, + author = {Yang, Qi}, + year = {2026}, + month = jun, + number = {arXiv:2606.20522}, + eprint = {2606.20522}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2606.20522}, + url = {https://arxiv.org/abs/2606.20522}, + archiveprefix = {arXiv} +} + @article{yu2021, title = {Closing of the {{Haldane}} Gap in a Spin-1 {{XXZ}} Chain}, author = {Yu, Chan and Lee, Ji-Woo}, @@ -600,6 +845,20 @@ @article{zauner-stauber2018 abstract = {We combine the density matrix renormalization group (DMRG) with matrix product state tangent space concepts to construct a variational algorithm for finding ground states of one-dimensional quantum lattices in the thermodynamic limit. A careful comparison of this variational uniform matrix product state algorithm (VUMPS) with infinite density matrix renormalization group (IDMRG) and with infinite time evolving block decimation (ITEBD) reveals substantial gains in convergence speed and precision. We also demonstrate that VUMPS works very efficiently for Hamiltonians with long-range interactions and also for the simulation of two-dimensional models on infinite cylinders. The new algorithm can be conveniently implemented as an extension of an already existing DMRG implementation.} } +@misc{zemlevskiy2026, + title = {Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations}, + author = {Zemlevskiy, Nikita A.}, + year = {2026}, + month = mar, + number = {arXiv:2603.15621}, + eprint = {2603.15621}, + primaryclass = {quant-ph}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2603.15621}, + url = {https://arxiv.org/abs/2603.15621}, + archiveprefix = {arXiv} +} + @article{zhang2023, title = {Universal {{Scaling}} of {{Klein Bottle Entropy}} near {{Conformal Critical Points}}}, author = {Zhang, Yueshui and Hulsch, Anton and Zhang, Hua-Chen and Tang, Wei and Wang, Lei and Tu, Hong-Hao}, @@ -615,6 +874,37 @@ @article{zhang2023 abstract = {We show that the Klein bottle entropy [H.-H. Tu, Phys. Rev. Lett. 119, 261603 (2017)] for conformal field theories perturbed by a relevant operator is a universal function of the dimensionless coupling constant. The universal scaling of the Klein bottle entropy near criticality provides an efficient approach to extract the scaling dimension of lattice operators via data collapse. As paradigmatic examples, we validate the universal scaling of the Klein bottle entropy for Ising and {$\mathbb{Z}$}3 parafermion conformal field theories with various perturbations using numerical simulation with continuous matrix product operator approach.} } +@misc{zong2026nickelate, + title = {Correlation-Driven Orbital-Selective Fermiology and Superconductivity in the Bilayer Nickelate {{La}}$_3${{Ni}}$_2${{O}}$_7$}, + author = {Zong, Yong-Yue and Yu, Shun-Li and Li, Jian-Xin}, + year = {2026}, + month = may, + number = {arXiv:2605.10101}, + eprint = {2605.10101}, + primaryclass = {cond-mat.str-el}, + publisher = {arXiv}, + doi = {10.48550/arXiv.2605.10101}, + url = {https://arxiv.org/abs/2605.10101}, + archiveprefix = {arXiv} +} + +% NOTE: published PRX; MPSKit citation not independently confirmed during review (uses DMRG). +@article{zong2026pseudogap, + title = {Pseudogap with {{Fermi Arcs}} and {{Fermi Pockets}} in Half-Filled Twisted Transition Metal Dichalcogenides}, + author = {Zong, Yong-Yue and Gu, Zhao-Long and Li, Jian-Xin}, + year = {2026}, + month = jan, + journal = {Physical Review X}, + volume = {16}, + number = {1}, + pages = {011005}, + publisher = {American Physical Society}, + doi = {10.1103/kmn8-y59j}, + url = {https://link.aps.org/doi/10.1103/kmn8-y59j}, + eprint = {2406.11374}, + archiveprefix = {arXiv} +} + @article{Hubig2015, title = {Strictly single-site DMRG algorithm with subspace expansion}, author = {Hubig, C. and McCulloch, I. P. and Schollw\"ock, U. and Wolf, F. A.}, From 0973b89240af484b958c0350b7c1ef11fa8a24fd Mon Sep 17 00:00:00 2001 From: lkdvos Date: Thu, 30 Jul 2026 17:23:57 -0400 Subject: [PATCH 2/2] docs(references): list the new publications on the references page Adds a 2026 section, lists `sinha2025`, `sommer2025` and `vandamme2025pseudogenerators` under 2025, and fixes the alphabetical ordering of `maertens2025`/`mortier2025`. Co-Authored-By: Claude Opus 5 (1M context) --- docs/src/references.md | 28 +++++++++++++++++++++++++++- 1 file changed, 27 insertions(+), 1 deletion(-) diff --git a/docs/src/references.md b/docs/src/references.md index bdfee2cf7..a2670933c 100644 --- a/docs/src/references.md +++ b/docs/src/references.md @@ -6,6 +6,29 @@ Below you can find a list of publications that have made use of MPSKit. If you h this package and wish to have your publication added to this list, please open a pull request or an issue on the [GitHub repository](https://github.com/QuantumKitHub/MPSKit.jl/). +### 2026 + +```@bibliography +Pages = [] +basumatary2026 +brehmer2026 +hormann2026 +kadow2026 +kaplan2026 +lu2026 +ritter2026 +shankar2026 +staelens2026 +ueda2026 +vancraeynestdecuiper2026 +vanthilt2026 +veitas2026 +yang2026 +zemlevskiy2026 +zong2026nickelate +zong2026pseudogap +``` + ### 2025 ```@bibliography @@ -15,10 +38,13 @@ dempsey2025 herviou2025 kirchner2025 linden2025 -mortier2025 maertens2025 +mortier2025 shen2025 +sinha2025 +sommer2025 ueda2025 +vandamme2025pseudogenerators vrancken2025 ``` ### 2024