71 citations · 337 across the 26 of their papers we have counts for
27 papers
Deep Learning of Phase Transitions for Bilinear-Biquadratic Spin-1 Chains from Correlation Aspects
Ming-Chiang Chung, Yu-Ting Kuo, Ian McCulloch +1
We investigate the role of different correlation functions in reconstructing the phase diagram of the spin-1 bilinear-biquadratic chain, parametrized by the angle between the b…
Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series
Victor Vanthilt, Maarten Van Damme, Jutho Haegeman +2
We introduce a matrix product operator (MPO) encoding of the Magnus expansion and the Dyson series for one-dimensional quantum lattice models with time-dependent Hamiltonians. The…
Green parafermions as emergent flat-band excitations in condensed matter
Huan-Qiang Zhou, Ian P. McCulloch, Murray T. Batchelor
Green parafermions, originally introduced by Green and extended by Greenberg and Messiah through trilinear and relative trilinear commutation relations beyond Bose-Fermi statistics…
Matrix Product Operator Constructions for Gauge Theories in the Thermodynamic Limit
Nicholas Godfrey, Ian P. McCulloch
We present a general method for simulating lattice gauge theories in low dimensions using infinite matrix product states (iMPS). A central challenge in Hamiltonian formulations of…
Spontaneous symmetry breaking with type-B Goldstone modes in the SO() ferromagnetic model: an entanglement perspective
Qian-Qian Shi, Huan-Qiang Zhou, Murray T. Batchelor +1
Spontaneous symmetry breaking with type-B Goldstone modes is investigated in the SO() ferromagnetic model. A set of orthonormal basis states in the ground state subspace are…
Emergent Goldstone flat bands and spontaneous symmetry breaking with type-B Goldstone modes
Huan-Qiang Zhou, Jesse J. Osborne, Qian-Qian Shi +1
For a quantum many-body spin system undergoing spontaneous symmetry breaking with type-B Goldstone modes, a high degree of degeneracy arises in the ground state manifold. Generical…
Entanglement entropy for the one-dimensional flat-band ferromagnetic Tasaki model: spontaneous symmetry breaking with one type-B Goldstone mode
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
The one-dimensional flat-band ferromagnetic Tasaki model exhibits spontaneous symmetry breaking from to with one type-B Goldstone mode, featuring that th…
Entanglement entropy for a type of scale-invariant states in two spatial dimensions and beyond: universal finite-size scaling
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantu…
Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
Jesse J. Osborne, Ian P. McCulloch
Numerical methods based on matrix product states (MPSs) are currently the de facto standard for calculating the ground-state properties of (quasi-)one-dimensional quantum many-body…
Meson Mass Sets Onset Time of Anomalous Dynamical Quantum Phase Transitions
Jesse J. Osborne, Johannes Knaute, Ian P. McCulloch +1
Dynamical quantum phase transitions (DQPTs) have been established as a rigorous framework for investigating far-from-equilibrium quantum many-body criticality. Although initially t…
Fractals and spontaneous symmetry breaking with type-B Goldstone modes: a perspective from entanglement
Huan-Qiang Zhou, Qian-Qian Shi, John O. Fjærestad +1
The one-dimensional spin- ferromagnetic Heisenberg model, as a paradigmatic example for spontaneous symmetry breaking (SSB) with type-B Goldstone modes (GMs), is e…
Comment on "Controlled Bond Expansion for Density Matrix Renormalization Group Ground State Search at Single-Site Costs" (Extended Version)
Ian P McCulloch, Jesse J Osborne
In a recent Letter [Phys. Rev. Lett. 130, 246402 (2023)], Gleis, Li, and von Delft present an algorithm for expanding the bond dimension of a Matrix Product State wave function, gi…
Quantum Many-Body Scarring in D Gauge Theories with Dynamical Matter
Jesse Osborne, Ian P. McCulloch, Jad C. Halimeh
Quantum many-body scarring (QMBS) has emerged as an intriguing paradigm of weak ergodicity breaking in nonintegrable quantum many-body models, particularly lattice gauge theories (…
Exact matrix product state representations for a type of scale-invariant states
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch
Exact matrix product state representations for a type of scale-invariant states are presented, which describe highly degenerate ground states arising from spontaneous symmetry brea…
Entanglement and logarithmic spirals in a quantum spin-1 many-body system with competing dimer and trimer interactions
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
Spontaneous symmetry breaking (SSB) with type-B Goldstone modes is investigated in the macroscopically degenerate phase for a quantum spin-1 many-body system with competing dimer a…
Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories
Jesse Osborne, Ian P. McCulloch, Jad C. Halimeh
Confinement is an intriguing phenomenon prevalent in condensed matter and high-energy physics. Exploring its effect on the far-from-equilibrium criticality of quantum many-body sys…
Type-B Goldstone modes and a logarithmic spiral in the staggered ferromagnetic spin-orbital model
Qian-Qian Shi, Huan-Qiang Zhou, Ian P. McCulloch +1
It is found that the staggered ferromagnetic spin-orbital model accommodates highly degenerate ground states arising from spontaneous symmetry breaking with type-B Gold…
Extracting the number of type-B Goldstone modes and the dynamical critical exponent for a type of scale-invariant states
Huan-Qiang Zhou, Yan-Wei Dai, Qian-Qian Shi +2
A generic scheme is proposed to perform a finite-entanglement scaling analysis for scale-invariant states, which appear to be highly degenerate ground states arising from spontaneo…
Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
S. N. Saadatmand, S. D. Bartlett, I. P. McCulloch
Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate th…
Detection and characterization of symmetry-broken long-range orders in the spin- triangular Heisenberg model
S. N. Saadatmand, I. P. McCulloch
We present new numerical tools to analyze symmetry-broken phases in the context of -symmetric translation-invariant matrix product states (MPS) and density-matrix renormaliz…
Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder
H. L. Nourse, I. P. McCulloch, C. Janani +1
We demonstrate the existence of an insulating phase in the three-legged Hubbard ladder at two-thirds filling. In this phase chargons are bound because the physics within a unit cel…
Symmetry fractionalization in the topological phase of the spin- - triangular Heisenberg model
S. N. Saadatmand, I. P. McCulloch
Using density-matrix renormalization-group calculations for infinite cylinders, we elucidate the properties of the spin-liquid phase of the spin- - Heisenber…
Imaginary-time matrix product state impurity solver for dynamical mean-field theory
F. Alexander Wolf, Ara Go, Ian P. McCulloch +2
We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imagina…
Phase Diagram of the Spin- Triangular - Heisenberg Model on a 3-leg Cylinder
S. N. Saadatmand, B. J. Powell, I. P. McCulloch
We study the phase diagram of the frustrated Heisenberg model on the triangular lattice with nearest and next-nearest neighbor spin exchange coupling, on 3-leg ladders. Using the d…