Classical simulation of infinite-size quantum lattice systems in one spatial dimension

Abstract

Invariance under translation is exploited to efficiently simulate one-dimensional quantum lattice systems in the limit of an infinite lattice. Both the computation of the ground state and the simulation of time evolution are considered.

5 pages, 6 figures

References in corpus (9)

• The density-matrix renormalization group
• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• DMRG and periodic boundary conditions: a quantum information perspective

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• Criticality in Two-Dimensional Quantum Systems: Tensor Network Approach
• Topological Crystalline Bose Insulator in Two Dimensions via Entanglement Spectrum
• Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice
• Simulating quantum systems on the Bethe lattice by translationally invariant infinite-Tree Tensor Network
• End-to-end entanglement in Bose-Hubbard chains
• Derivation of matrix product states for the Heisenberg spin chain with open boundary conditions
• Fast initialization of a high-fidelity quantum register using optical superlattices
• Quantum phase transitions and string orders in the spin-1/2 Heisenberg-Ising alternating chain with Dzyaloshinskii-Moriya interaction
• Optical suppression of electron motion in low-dimensional correlated electron system
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions
• Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model
• Tensor network strategies for calculating biexcitons and trions in monolayer 2D materials beyond the ground state
• Phase diagram and exotic spin-spin correlations of anisotropic Ising model on the Sierpiński gasket
• Simulation of braiding anyons using Matrix Product States
• Renormalization group approach to symmetry protected topological phases
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
• One-dimensional repulsive Hubbard model with mass imbalance: Orders and filling anomaly
• Particle number conservation in quantum many-body simulations with matrix product operators
• Dynamical Spectral Response of Fractonic Quantum Matter
• Quench induced Mott insulator to superfluid quantum phase transition
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Reduced basis surrogates for quantum spin systems based on tensor networks
• Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Cross derivative: a universal and efficient method for phase transitions in classical spin models
• Entanglement dynamics of thermofield double states in integrable models
• SU(3) trimer resonating-valence-bond state on the square lattice
• Cumulants and Scaling Functions of Infinite Matrix Product States
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Frustrated polaritons
• Efficient calculation of three-dimensional tensor networks
• Exploring quantum phase transitions by the cross derivative of the ground state energy
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Coherent spin-phonon scattering in facilitated Rydberg lattices
• Partial order in Potts models on the generalized decorated square lattice
• Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
• Ground-State Fidelity and Kosterlitz-Thouless Phase Transition for Spin 1/2 Heisenberg Chain with Next-to-the-Nearest-Neighbor Interaction
• Identifying quantum phases from injectivity of symmetric matrix product states
• Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
• Dynamical signatures of the one-dimensional deconfined quantum critical point
• Photoinduced $\eta$-pairing in One-dimensional Mott Insulators
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Thermal Tensor Network Simulations of the Heisenberg Model on the Bethe Lattice
• Monte Carlo simulations of two-dimensional fermion systems with string-bond states
• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain
• Noise correlations of one-dimensional Bose mixtures in optical lattices
• Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
• Semi-group influence matrices for non-equilibrium quantum impurity models
• Symmetry protected topological phases beyond groups: The q-deformed bilinear-biquadratic spin chain
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
• Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
• Time-dependent variational principle of mixed matrix product states in the thermodynamic limit
• Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions
• Entanglement scaling and spatial correlations of the transverse field Ising model with perturbations
• Universality of Heisenberg-Ising chain in external fields
• Pivoting through the chiral-clock family
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance
• Finite-depth scaling of infinite quantum circuits for quantum critical points
• Symmetry-protected intermediate trivial phases in quantum spin chains
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
• The Quantum Torus Chain
• Uniform Matrix Product State in the Thermodynamic Limit
• Fermionic Isometric Tensor Network States in Two Dimensions
• Holographic encoding of universality in corner spectra
• Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
• Pump-probe spectroscopy of the one-dimensional extended Hubbard model at half filling
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
• The Hubbard model on the Bethe lattice via variational uniform tree states: metal-insulator transition and a Fermi liquid
• Bang-bang algorithms for quantum many-body ground states: a tensor network exploration
• Imaginary-time Mpemba effect in quantum many-body systems
• Quantum Dynamics Simulation of the Advection-Diffusion Equation
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Tensor-network approach to thermalization in open quantum many-body systems
• Interaction distance in the extended XXZ model
• Phase diagram of the spin-1/2 Heisenberg alternating chain in a magnetic field
• Biorthonormal Matrix-Product-State Analysis for Non-Hermitian Transfer-Matrix Renormalization-Group in the Thermodynamic Limit
• TNSPackage: A Fortran2003 library designed for tensor network state methods
• Quantum phase transitions in spin-1 compass chains
• Phase boundary location with information-theoretic entropy in tensor renormalization group flows
• Tensor-network algorithm for nonequilibrium relaxation in the thermodynamic limit
• A quantum information perspective on meson melting
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• A learning algorithm with emergent scaling behavior for classifying phase transitions
• Many-body effects on high-harmonic generation in Hubbard ladders
• Bose-Hubbard models with photon pairing in circuit-QED
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• A hierarchical equations of motion (HEOM) analog for systems with delay: illustrated on inter-cavity photon propagation
• Finite entanglement properties in the matrix product states of the one-dimensional Hubbard model
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Universal Order Parameters and Quantum Phase Transitions: A Finite-Size Approach
• Honeycomb Heisenberg Spin Ladder: Unusual Ground State and Thermodynamic Properties
• Variational Tensor Network Operator
• Dynamical scaling laws in the quantum $q$-state clock chain
• Symmetry protected topological phases in spin-1 ladders and their phase transitions
• Ground-state wavefunction of macroscopic electron systems
• Optimization of infinite projected entangled pair states: The role of multiplets and their breaking
• Exotic Ising dynamics in a Bose-Hubbard model
• Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Entanglement Continuous Unitary Transformations
• Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Ground state of many-electron systems based on the action function
• Ground-state properties via machine learning quantum constraints
• Detection of gapped phases of a 1D spin chain with onsite and spatial symmetries
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Polarized edge state emission from topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation
• Kosterlitz-Thouless transitions and phase diagrams of the interacting monomer-dimer model on a checkerboard lattice
• Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion
• Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model
• Light-induced phase transitions in vanadium dioxide: a tensor network study
• Direct interpolative construction of the discrete Fourier transform as a matrix product operator
• Effective One-Dimensional Models from Matrix Product States
• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system
• Large-$S$ and tensor-network methods for strongly-interacting topological insulators
• Kibble-Zurek mechanism in quantum link model
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
• Loop update for infinite projected entangled-pair states in two spatial dimensions
• Small quenches and thermalization
• Importance Sampling Scheme for the Stochastic Simulation of Quantum Spin Dynamics
• Many-body computing on Field Programmable Gate Arrays
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Hadamard Renormalization of a 2-Dimensional Dirac Field
• Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• Two Dimensional Isometric Tensor Networks on an Infinite Strip
• Quantum Gauge Networks: A New Kind of Tensor Network
• Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
• Negative entanglement measure for bipartite separable mixed states
• Microscopic bosonization of band structures: X-ray processes beyond the Fermi edge
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• Probing False Vacuum Decay and Bubble Nucleation in a Rydberg Atom Array
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Quantum Convolutional Neural Network for Phase Recognition in Two Dimensions
• Machine learning, quantum chaos, and pseudorandom evolution
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Rejection-free quantum Monte Carlo in continuous time from transition path sampling
• SuperGrad: a differentiable simulator for superconducting processors
• Mass ratio of elementary excitations in frustrated antiferromagnetic chains with dimerization
• Entanglement Perturbation Theory for Infinite Quasi-1D Quantum Systems
• Scalable projected entangled-pair state representation of random quantum circuit states
• Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI
• Mode folding in systems with local interaction: unitary and non-unitary transformations using tensor states
• Efficient optimization of variational tensor-network approach to three-dimensional statistical systems
• Translation invariant tensor product states in a finite lattice system
• Dynamical symmetry in quantum dissipative models
• Incommensurate Matrix Product State for Quantum Spin Systems
• Representation Theorem for Matrix Product States
• The Hubbard model with fermionic tensor networks
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Topological phases of the compass ladder model
• A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• ${\mathbb{Z}}_N$ symmetry breaking in Projected Entangled Pair State models
• Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
• Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with ${\mathcal{D}}_8^{(1)}$ spectrum
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions
• Confinement and false vacuum decay on the Potts quantum spin chain
• Self-congruent point in critical matrix product states: An effective field theory for finite-entanglement scaling
• Investigating Stark many-body localization with continuous unitary transformation flows
• Harnessing Quantum Dynamics for Robust and Scalable Quantum Extreme Learning Machines
• Charge creation via quantum tunneling in one-dimensional Mott insulators: A numerical study of the extended Hubbard model
• Seeding neural network quantum states with tensor network states
• Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
• Variational boundary based tensor network renormalization group
• Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
• Application of Uniform Matrix Product State to Quantum Phase Transition with a Periodicity Change
• Single-layer framework of variational tensor network states
• Charge-order melting in the one-dimensional Edwards model
• Exact matrix product state representation and convergence of a fully correlated electronic wavefunction in the infinite basis limit
• Efficient Simulation of Quantum Many-body Thermodynamics by Tailoring Zero-temperature Tensor Network
• Second-order magnetic responses in quantum magnets: Magnetization under ac magnetic fields
• Quantized ΔS=2 Excitation Spectra by Confinement in an S=1 Spin Chain
• Optimal Matrix Product States for the Heisenberg Spin Chain
• Critical exponents of block-block mutual information in one-dimensional infinite lattice systems
• Phonon-induced disorder in dynamics of optically pumped metals from non-linear electron-phonon coupling
• Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
• Nonequilibrium phases and quantum correlations in synthetic transport models
• Tangent equations of motion for nonlinear response functions
• Probing universal imaginary-time relaxation critical dynamics with infinite projected entangled pair states
• Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems
• Imaginary Time Spectral Transforms for Excited State Preparation
• Channel induced dynamics of quantum information in mixed state free QFTs
• Finding periodic orbits in projected quantum many-body dynamics
• Quantum phase classification via partial tomography-based quantum hypothesis testing
• Classical Shadows with Improved Median-of-Means Estimation
• Using matrix-product states for time-series machine learning
• Nonequilibrium steady-state dynamics of Markov processes on graphs
• Operator entanglement in $\mathrm{SU}(2)$-symmetric dissipative quantum many-body dynamics
• Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model
• Entanglement scaling and criticality of infinite-size quantum many-body systems in continuous space addressed by a tensor network approach
• Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States
• Radiative Higgs mode in photoinduced $\eta$ pairs
• Characterizing quantum phase transition by teleportation
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Quantum Supercritical Crossover with Dynamical Singularity
• Universal entanglement correction induced by relevant deformations at the quantum critical point
• Superselection-Resolved Entanglement in Lattice Gauge Theories: A Tensor Network Approach
• DC electric field driven discretization of single-particle excitation spectra in a Mott insulator
• Photoinduced pairing in Mott insulators
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Locally accurate tensor networks for thermal states and time evolution
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
• Dynamic response of spin-2 bosons in one-dimensional optical lattices
• Nonequilibrium dark space phase transition
• Non-Hermitian Lindhard function and Friedel oscillations
• Determination of ground states of one-dimensional quantum systems using the cluster iTEBD method
• Grassmann tensor networks