Computational Studies of Quantum Spin Systems

Abstract

These lecture notes introduce quantum spin systems and several computational methods for studying their ground-state and finite-temperature properties. Symmetry-breaking and critical phenomena are first discussed in the simpler setting of Monte Carlo studies of classical spin systems, to illustrate finite-size scaling at continuous and first-order phase transitions. Exact diagonalization and quantum Monte Carlo (stochastic series expansion) algorithms and their computer implementations are then discussed in detail. Applications of the methods are illustrated by results for some of the most essential models in quantum magnetism, such as the S=1/2 Heisenberg antiferromagnet in one and two dimensions, as well as extended models useful for studying quantum phase transitions between antiferromagnetic and magnetically disordered states.

207 pages, 91 figures. Lecture notes for course given at the 14th Training Course in Physics of Strongly Correlated Systems, Salerno (Vietri sul Mare), Italy, in October 2009

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• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
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• Quantum phases of Rydberg atoms on a kagome lattice
• Gradient methods for variational optimization of projected entangled-pair states
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Quantum Speedup by Quantum Annealing
• Machine Learning for Quantum Matter
• Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• Universal behavior beyond multifractality in quantum many-body systems
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities
• Fate of CP(N-1) fixed points with q-monopoles
• Phase transitions in the frustrated Ising model on the square lattice
• Density matrix quantum Monte Carlo
• Constrained sampling method for analytic continuation
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Universal nonequilibrium quantum dynamics in imaginary time
• Transformer variational wave functions for frustrated quantum spin systems
• Progress on stochastic analytic continuation of quantum Monte Carlo data
• Learning Feynman Diagrams with Tensor Trains
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Two-component Structure in the Entanglement Spectrum of Highly Excited States
• Easing the Monte Carlo sign problem
• Measurements conspire nonlocally to restructure critical quantum states
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• Self-Learning Monte Carlo Method in Fermion Systems
• Finite-size scaling method for the Berezinskii-Kosterlitz-Thouless transition
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• Dynamical quantum phase transitions in $U(1)$ quantum link models
• Learning the ground state of a non-stoquastic quantum Hamiltonian in a rugged neural network landscape
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Participation spectroscopy and entanglement Hamiltonian of quantum spin models
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
• Super-resolving the Ising model with convolutional neural networks
• Dirty-boson physics with magnetic insulators
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• The emergence of gapless quantum spin liquid from deconfined quantum critical point
• Entanglement entropy from nonequilibrium work
• Multicritical deconfined quantum-criticality and Lifshitz point of a helical valence-bond phase
• Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• Detecting signals of weakly first-order phase transitions in two-dimensional Potts models
• Triangular lattice quantum dimer model with variable dimer density
• Spin nematics, valence-bond solids and spin liquids in SO($N$) quantum spin models on the triangular lattice
• Quantum coarsening and collective dynamics on a programmable simulator
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• A flow equation approach to periodically driven quantum systems
• Spectral statistics of chaotic many-body systems
• Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
• Shannon-Rényi entropies and participation spectra across 3d $O(3)$ criticality
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states
• Phase transitions in 3D loop models and the $C{P}^{n-1}$ $\sigma$ model
• Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• Unsupervised learning universal critical behavior via the intrinsic dimension
• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Surface critical behaviors of coupled Haldane chains
• Consistent scaling exponents at the deconfined quantum-critical point
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• 2D ion crystals in radiofrequency traps for quantum simulation
• Complex saddle points and the sign problem in complex Langevin simulation
• Pseudo-fermion functional renormalization group for spin models
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Destructive Error Interference in Product-Formula Lattice Simulation
• Symmetry-protected coherent relaxation of open quantum systems
• Quantum phase transitions in bilayer SU(N) anti-ferromagnets
• Magic in generalized Rokhsar-Kivelson wavefunctions
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• Method to characterize spinons as emergent elementary particles
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Finite-temperature critical behavior of long-range quantum Ising models
• Quantum state complexity meets many-body scars
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Intrinsic Spin Susceptibility and Pseudogap-like Behavior in Infinite-Layer LaNiO2
• Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion
• Non-Hermitian topology in monitored quantum circuits
• Learning Lattice Quantum Field Theories with Equivariant Continuous Flows
• Quantum Monte Carlo Study of Long-Range Transverse-Field Ising Models on the Triangular Lattice
• SU(2) Gauge Theory in $2+1$ Dimensions on a Plaquette Chain Obeys the Eigenstate Thermalization Hypothesis
• Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
• Velocity of excitations in ordered, disordered and critical antiferromagnets
• Extreme Suppression of Antiferromagnetic Order and Critical Scaling in a Two-Dimensional Random Quantum Magnet
• Dissipation-Induced Order: The $S=1/2$ Quantum Spin Chain Coupled to an Ohmic Bath
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• From trivial to topological paramagnets: The case of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2^3$ symmetries in two dimensions
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Length Distributions in Loop Soups
• Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in imaginary time
• Numerical study of incommensurate and decoupled phases of spin-1/2 chains with isotropic exchange J1, J2 between first and second neighbors
• Quantum spin liquid phase in the Shastry-Sutherland model detected by an improved level spectroscopic method
• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Intrinsic dimension of path integrals: data mining quantum criticality and emergent simplicity
• Phase structure and phase transitions in a three dimensional SU(2) superconductor
• Polynomial-time classical simulation of quantum ferromagnets
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Microscopic theory of non-adiabatic response in real and imaginary time
• Stochastic series expansion simulation of the $t$-$V$ model
• Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
• Griffiths Singularities in the Random Quantum Ising Antiferromagnet: A Tree Tensor Network Renormalization Group Study
• Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
• Scaling at quantum phase transitions above the upper critical dimension
• Quantum criticality using a superconducting quantum processor
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Building models of topological quantum criticality from pivot Hamiltonians
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• New easy-plane ${\mathbb{CP}}^{N-1}$ fixed points
• Natural Orbitals Renormalization Group Approach to the Two-Impurity Kondo Critical Point
• Population Control Bias and Importance Sampling in Full Configuration Interaction Quantum Monte Carlo
• Automated construction of $U(1)$-invariant matrix-product operators from graph representations
• Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Fermion sign bounds theory in quantum Monte Carlo simulation
• Diagnosing $SO(5)$ Symmetry and First-Order Transition in the $J-Q_3$ Model via Entanglement Entropy
• Continuous matrix product operator approach to finite temperature quantum states
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Long-Range Entangled-Plaquette States for Critical and Frustrated Quantum Systems on a Lattice
• Field-Induced Quantum Phases in Frustrated Spin-Dimer Model: A Sign-Problem-Free Quantum Monte Carlo Study
• Diagnosing weakly first-order phase transitions by coupling to order parameters
• Unconventional U(1) to ${\mathbf{Z}}_{\mathbf{q}}$ cross-over in quantum and classical $\mathbf{q}$-state clock models
• Paradeisos: a perfect hashing algorithm for many-body eigenvalue problems
• Critical light-matter entanglement at cavity mediated phase transition
• lattice-symmetries: A package for working with quantum many-body bases
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Sign Problem in Quantum Monte Carlo Simulation
• Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
• First-order superfluid to valence bond solid phase transitions in easy-plane SU($N$) magnets for small-$N$
• Thermal valence-bond-solid transition of quantum spins in two dimensions
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Eigenstate thermalization hypothesis and eigenstate-to-eigenstate fluctuations
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Kagome model for a ${\mathbb{Z}}_2$ quantum spin liquid
• Quantum Monte Carlo simulation of spin-boson models using wormhole updates
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Marshall-positive SU($N$) quantum spin systems and classical loop models: A practical strategy to design sign-problem-free spin Hamiltonians
• Eigenstate entanglement scaling for critical interacting spin chains
• Completeness of Wronskian Bethe equations for rational gl(m|n) spin chains
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality
• BKT universality class in the presence of correlated disorder
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Field-driven quantum phase transitions in $S=1/2$ spin chains
• An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition
• Tripartite entangled plaquette state in a cluster magnet
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Improved scaling of the entanglement entropy of quantum antiferromagnetic Heisenberg systems
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Surrogate models for quantum spin systems based on reduced order modeling
• Non-equilibrium quantum Monte Carlo algorithm for stabilizer Renyi entropy in spin systems
• Spin parity and broken symmetry in finite spin-1/2 chains with frustrated exchange: quantum transition from high to low spin
• Possible Ergodic-nonergodic regions in the quantum Sherrington-Kirkpatrick spin glass model and quantum annealing
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Hidden orders in spin-orbit entangled correlated insulators
• Rényi entanglement entropy of critical SU($N$) spin chains
• Advanced quantum methods for the largest magnetic molecules
• Eigenstate thermalization hypothesis in two-dimensional XXZ model with or without SU(2) symmetry
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models
• Spin-$S$ designer hamiltonians and the square lattice $S=1$ Haldane nematic
• SU(2)-Symmetric Spin-Boson Model: Quantum Criticality, Fixed-Point Annihilation, and Duality
• Correlated valence-bond states
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice
• Emergent topological excitations in a two-dimensional quantum spin system
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba3Cu3In4O12 and Ba3Cu3Sc4O12
• Emergent XY* transition driven by symmetry fractionalization and anyon condensation
• Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances
• Adaptive projected variational quantum dynamics
• Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
• Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations
• Non-parametric learning critical behavior in Ising partition functions: PCA entropy and intrinsic dimension
• Temperature flow in pseudo-Majorana functional renormalization for quantum spins
• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Entanglement Hamiltonian of the quantum Néel state
• Many-body Localization in Clean Chains with Long-Range Interactions
• Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
• Destroying a topological quantum bit by condensing Ising vortices
• Competing Bose-Glass physics with disorder-induced Bose-Einstein condensation in the doped $S=1$ antiferromagnet Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at high magnetic fields
• Thermal bosons in 3d optical lattices via tensor networks
• Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Quantum Monte Carlo Study on the Spin-1/2 Honeycomb Heisenberg Model with Mixing Antiferromagnetic and Ferromagnetic Interactions in External Magnetic Fields
• Random unitaries, Robustness, and Complexity of Entanglement
• First-principles characterization of the magnetic properties of Cu${}_2$(OH)${}_3$Br
• Adaptive Density Matrix Renormalization Group for Disordered Systems
• Are queries and keys always relevant? A case study on Transformer wave functions
• Spin-specific heat determination of the ratio of competing first- and second-neighbor exchange interactions in frustrated spin-$\frac{1}{2}$ chains
• Tunable deconfined quantum criticality and interplay of different valence-bond solid phases
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Diamagnetism and density wave order in the pseudogap regime of YBa${}_2$Cu${}_3$O${}_{6+x}$
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Hierarchical single-ion anisotropies in spin-1 Heisenberg antiferromagnets on the honeycomb lattice
• Infinite Matrix Product States vs Infinite Projected Entangled-Pair States on the Cylinder: a comparative study
• Hyperbolic Spin Liquids
• Enhanced many-body localization in a kinetically constrained model
• Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
• A Simple Mechanism for Unconventional Superconductivity in a Repulsive Fermion Model
• Numerical studies of various Neel-VBS transitions in SU(N) anti-ferromagnets
• A subpolynomial-time algorithm for the free energy of one-dimensional quantum systems in the thermodynamic limit
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
• Balls and Walls: A Compact Unary Coding for Bosonic States
• Tuning the two-step melting of magnetic orders in a dipolar kagome spin ice by quantum fluctuations
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Bulk and Surface Critical Behaviors of quantum Heisenberg antiferromagnet on a two-dimensional coupled diagonal ladders
• Dual dynamic scaling in deconfined quantum criticality
• Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model
• Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings
• Finite-size anomalies of the Drude weight: role of symmetries and ensembles
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
• The Néel-VBS transition in three-dimensional SU($N$) antiferromagnets
• Emergent criticality in fully frustrated quantum magnets
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Finite-depth scaling of infinite quantum circuits for quantum critical points
• Derivation of a time dependent Schrödinger equation as quantum mechanical Landau-Lifshitz-Bloch equation
• Modeling unconventional superconductivity at the crossover between strong and weak electronic interactions
• Thermal Properties of Rung Disordered Two-leg Quantum Spin Ladders: Quantum Monte Carlo Study
• Network-Initialized Monte Carlo Based on Generative Neural Networks
• Mesoscopic fluctuations in entanglement dynamics
• Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Stochastic Sampling of Operator Growth Dynamics
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Variational Cluster Approximation to the Thermodynamics of Quantum Spin Systems
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Defining a universal sign to strictly probe a phase transition
• Field-tunable Berezinskii-Kosterlitz-Thouless correlations in a Heisenberg magnet
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model
• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach
• Typicality at quantum-critical points
• Boosting Determinant Quantum Monte Carlo with Submatrix Updates: Unveiling the Phase Diagram of the 3D Hubbard Model
• Z2 topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry
• Extraordinary surface critical behavior induced by symmetry-protected topological state of a two-dimensional quantum magnet
• Dipolar ordering transitions in many-body quantum optics: Analytical diagrammatic approach to equilibrium quantum spins
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Pseudo-Majorana functional renormalization for frustrated XXZ spin-1/2 models with field or magnetization along the spin-Z direction at finite temperature
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Dissipative Majorana quantum wires
• Probing phase transitions with correlations in configuration space
• Ground state properties of the Heisenberg-compass model on the square lattice
• Topological physics in quantum critical systems
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Dynamical phase transitions in $XY$ model: a Monte Carlo and mean-field theory study
• Cross Validation in Stochastic Analytic Continuation
• Entanglement Entropy of the Two-Dimensional +-J Ising Model on the Nishimori Line
• An efficient perturbation theory of density matrix renormalization group
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Entropy and thermopower in the 2D t-J model
• Quantum Transport Theory of Strongly Correlated Matter
• Incommensurate gapless ferromagnetism connecting competing symmetry-enriched deconfined quantum phase transitions
• DMRG studies on linear-exchange quantum spin models in one dimension
• Variational Neural and Tensor Network Approximations of Thermal States
• Quantum Hall Bilayer as Pseudospin Magnet
• Quantum Monte Carlo simulations of highly frustrated magnets in a cluster basis: The two-dimensional Shastry-Sutherland model
• Quantum spin solver near saturation: QS${}_{}^3$
• Dynamical properties of the Haldane chain with bond disorder
• Detection of anyon braiding through pump-probe spectroscopy
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations
• Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation
• Dynamical typicality for initial states with a preset measurement statistics of several commuting observables
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Density matrix renormalization group approach to the low temperature thermodynamics of correlated 1D fermionic models
• Taming spin susceptibilities in frustrated quantum magnets: Mean-field form and approximate nature of the quantum-to-classical correspondence
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Phase diagram and critical behavior of Hubbard model on the square-hexagon-octagon lattice
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
• Learning phases with Quantum Monte Carlo simulation cell
• The destiny of obstructed atomic insulator under correlation
• L-based numerical linked cluster expansion for square lattice models
• Temperature dependence of the $(\pi ,0)$ anomaly in the excitation spectrum of the 2D quantum Heisenberg antiferromagnet
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Many-body computing on Field Programmable Gate Arrays
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Liquid-gas analog multicriticality in a frustrated Ising bilayer
• Carlo.jl: A general framework for Monte Carlo simulations in Julia
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Improvements to the Stochastic Series Expansion method for the $J{Q}_2$ model with a magnetic field
• Supervised learning of an interacting 2D hard-core boson model of a weak topological insulator using correlation functions
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• The BKT Transition and its Dynamics in a Spin Fluid
• Heat current magnification in Classical and Quantum spin networks
• Phase diagram of the antiferromagnetic $J_1$-$J_2$ spin-$1$ pyrochlore Heisenberg model
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Quantum magnetism on small-world networks
• Addressing general measurements in quantum Monte Carlo
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• High-temperature series expansion of the dynamic Matsubara spin correlator
• Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
• Pseudocriticality in antiferromagnetic spin chains
• Ground-state phase diagram of S = 1/2 Heisenberg model on 2D square-hexagon-octagon lattice
• Functional renormalization group for extremely correlated electrons
• Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions
• Auxiliary-Field Monte Carlo for lattice bosons: tackling strong interactions and frustration
• Proximate Tomonaga-Luttinger liquid in a spin-1/2 ferromagnetic XXZ chain compound
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
• Josephson-frustrated superconductors in a magnetic field
• Phase transitions in 3D Ising model with cluster weight by Monte Carlo method
• Competition between Neel, Haldane nematic, plaquette valence bond solid, and $(\pi ,\pi )$ valence bond solid phases in SU(N) analogs of $S=1$ square-lattice antiferromagnets
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Topological Phase Transitions in Superfluids Near Black Hole Horizons
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• On the criticality of the configuration-space statistical geometry
• Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
• Neuralized Fermionic Tensor Networks for Quantum Many-Body Systems
• Thermodynamic properties of disordered quantum spin ladders
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model
• Quantitative functional renormalization for three-dimensional quantum Heisenberg models
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Random Transverse Field Effects on Magnetic Noise in Spin Systems
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Accuracy of Restricted Boltzmann Machines for the one-dimensional $J_1-J_2$ Heisenberg model
• Density-Matrix Mean-Field Theory
• Bond-bond correlations, gap relations and thermodynamics of spin-$1/2$ chains with spin-Peierls transitions and bond-order-wave phases
• Post-measurement Quantum Monte Carlo
• Kinetic samplers for neural quantum states
• Quantum criticality at finite temperature for two-dimensional $J{Q}_3$ models on the square and the honeycomb lattices
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Cheaper and more noise-resilient quantum state preparation using eigenvector continuation
• Robust preparation of ground state phases under noisy imaginary time evolution
• Sample complexity of matrix product states at finite temperature
• Imaginary-time Quantum Relaxation Critical Dynamics with Semi-ordered Initial States
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Single-layer framework of variational tensor network states
• Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
• The two critical temperatures conundrum in La${}_{1.83}$Sr${}_{0.17}$CuO${}_4$
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• Bootstrapping entanglement in quantum spin systems
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model
• High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice
• Algorithmic Aspects of Gauged Gaussian Fermionic PEPS: Gauge Fixing and Translation Invariance
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model
• Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Topological properties of a Valence-Bond-Solid
• Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
• Hierarchical Fusion Method for Scalable Quantum Eigenstate Preparation
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Longitudinal-field fidelity susceptibility analysis of the $J_1$-$J_2$ transverse-field Ising model around $J_2/J_1\approx 0.5$
• Efficient identification of critical regions via Flow Matching-based Monte Carlo initialization
• Efficient computation of average subsystem Bures distance between fermionic Gaussian states
• Inequalities between ground-state energies of Heisenberg models
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study
• Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal
• Quadrupolar quantum criticality on a fractal
• Phase transitions and crtical exponents in the six-vertex model on kagome lattices
• Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J{Q}_3$ model on the honeycomb lattice
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states
• Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model
• End-point singularity of the $XY$-paramagnetic phase boundary for the $(2+1)$D $S=1$ square-lattice $J_1$-$J_2$ $XY$ model with the single-ion anisotropy
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• A quantum Monte Carlo algorithm for arbitrary high-spin Hamiltonians
• Brute-force positivization of $J_1-J_2$ model ground states