Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces

Abstract

An algorithm for the simulation of the evolution of slightly entangled quantum states has been recently proposed as a tool to study time-dependent phenomena in one-dimensional quantum systems. Its key feature is a time-evolving block-decimation (TEBD) procedure to identify and dynamically update the relevant, conveniently small subregion of the otherwise exponentially large Hilbert space. Potential applications of the TEBD algorithm are the simulation of time-dependent Hamiltonians, transport in quantum systems far from equilibrium and dissipative quantum mechanics. In this paper we translate the TEBD algorithm into the language of matrix product states in order to both highlight and exploit its resemblances to the widely used density-matrix renormalization-group (DMRG) algorithms. The TEBD algorithm being based on updating a matrix product state in time, it is very accessible to the DMRG community and it can be enhanced by using well-known DMRG techniques, for instance in the event of good quantum numbers. More importantly, we show how it can be simply incorporated into existing DMRG implementations to produce a remarkably effective and versatile ``adaptive time-dependent DMRG'' variant, that we also test and compare to previous proposals.

27 pages, 14 figures; changed to journal format, better readable figures, minor corrections, correct setup of second order Trotter decomposition, added journal reference

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• Efficient and Flexible Approach to Simulate Low-Dimensional Quantum Lattice Models with Large Local Hilbert Spaces
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain
• Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices
• Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
• Dressed, noise- or disorder- resilient optical lattices
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
• Matrix product purifications for canonical ensembles and quantum number distributions
• Interaction quenches in the two-dimensional fermionic Hubbard model
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• Trap modulation spectroscopy of the Mott-insulator transition in optical lattices
• Improving the efficiency of variational tensor network algorithms
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Stochastic Adaptive Single-Site Time-Dependent Variational Principle
• Information scrambling at finite temperature in local quantum systems
• Computing the renormalization group flow of two-dimensional ${\varphi }^4$ theory with tensor networks
• An $\eta$-condensate of fermionic atom pairs via adiabatic state preparation
• Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
• From thermal rectifiers to thermoelectric devices
• Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
• Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
• Universal short-time quantum critical dynamics in imaginary time
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Excitations in two-component Bose-gases
• Practical Black Box Hamiltonian Learning
• Andreev-like reflections with cold atoms
• Spin transport in long-range interacting one-dimensional chain
• Hierarchical generalization of dual unitarity
• Dynamical simulations of polaron transport in conjugated polymers with the inclusion of electron-electron interactions
• Finding the ground state of a lattice gauge theory with fermionic tensor networks: a $2+1d$ ${\mathbb{Z}}_2$ demonstration
• Adiabatic cooling of bosons in lattices to magnetic ordering
• Photo-induced nonequilibrium states in Mott insulators
• Preparing Valence-Bond-Solid states on noisy intermediate-scale quantum computers
• Analysis of continuous and discrete Wigner approximations for spin dynamics
• Current reversals and metastable states in the infinite Bose-Hubbard chain with local particle loss
• Non-equilibrium transport through a point contact in the $\nu =5/2$ non-Abelian quantum Hall state
• Continuous matrix product states for coupled fields: Application to Luttinger Liquids and quantum simulators
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Raise and fall of a bright soliton in an optical lattice
• Time-dependent evolution of two coupled Luttinger liquids
• Real time evolution at finite temperatures with operator space matrix product states
• Multiplons in the two-hole excitation spectra of the one-dimensional Hubbard model
• Pseudogap Anderson impurity model out of equilibrium: A master equation tensor network approach
• Iterative path integral summation for nonequilibrium quantum transport
• Photo-induced Tomonaga-Luttinger-like liquid in a Mott insulator
• Unitary long-time evolution with quantum renormalization groups and artificial neural networks
• Matrix product states for anyonic systems and efficient simulation of dynamics
• Nonequilibrium dynamics in pumped Mott insulators
• Extension of the Nakajima-Zwanzig approach to multitime correlation functions of open systems
• A variational method based on weighted graph states
• Simulating strongly correlated multiparticle systems in a truncated Hilbert space
• Tensor Network Path Integral Study of Dynamics in B850 LH2 Ring with Atomistically Derived Vibrations
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Stochastic Approach to Non-Equilibrium Quantum Spin Systems
• Spatio-temporal Fermionization of Strongly Interacting 1D Bosons
• Inducing spin-correlations and entanglement in a double quantum dot through non-equilibrium transport
• Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles
• Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
• Spectral response of Josephson junctions with low-energy quasiparticles
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Transport Through a Correlated Interface: Auxiliary Master Equation Approach
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Dicke transition in open many-body systems determined by fluctuation effects
• From ETH to algebraic relaxation of OTOCs in systems with conserved quantities
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• Quantum theory of two-dimensional materials coupled to electromagnetic resonators
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Optimal time-dependent lattice models for nonequilibrium dynamics
• Dynamical disentangling and cooling of atoms in bilayer optical lattices
• Tree tensor networks and entanglement spectra
• Exact time-dependent density functional theory for impurity models
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Spin fluctuations in the 0.7-anomaly in quantum point contacts
• Unusual Two-stage Dynamics of the Spin-Lattice Polaron Formation
• How to find conductance tensors of quantum multi-wire junctions through static calculations: application to an interacting Y-junction
• Ultracold gases far from equilibrium
• Real time evolution with neural-network quantum states
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• Low temperature dynamics of nonlinear Luttinger liquids
• RG transport theory for open quantum systems: Charge fluctuations in multilevel quantum dots in and out of equilibrium
• Real-time dynamics of particle-hole excitations in Mott insulator-metal junctions
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Dipole oscillations of confined lattice bosons in one dimension
• Hybrid infinite time-evolving block decimation algorithm for long-range multi-dimensional quantum many-body systems
• Finite-temperature correlations in a quantum spin chain near saturation
• Is spin-charge separation observable in a transport experiment?
• Dynamics and evaporation of defects in Mott-insulating clusters of boson pairs
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Out-of-equilibrium dynamics and thermalization of string order
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Density matrix renormalization group study of a quantum impurity model with Landau-Zener time-dependent Hamiltonian
• Density-matrix renormalization group: a pedagogical introduction
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Real-time simulation of finite frequency noise from a single electron emitter
• Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
• Time and momentum-resolved tunneling spectroscopy of pump-driven non-thermal excitations in Mott insulators
• Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
• Variational classical networks for dynamics in interacting quantum matter
• Time Evolution with the DMRG Algorithm: A Generic Implementation for Strongly Correlated Electronic Systems
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Migration of bosonic particles across a Mott insulator to superfluid phase interface
• Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
• Convergence guarantees for discrete mode approximations to non-Markovian quantum baths
• Minimizing nonadiabaticities in optical-lattice loading
• Exact Real Time Dynamics of Quantum Spin Systems Using the Positive-P Representation
• QSpace - An open-source tensor library for Abelian and non-Abelian symmetries
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Spintronics meets density matrix renormalization group: Quantum spin torque driven nonclassical magnetization reversal and dynamical buildup of long-range entanglement
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Analysis of a density matrix renormalization group approach for transport in open quantum systems
• Transient dynamics of open quantum systems
• Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
• Doped Kondo chain, a heavy Luttinger liquid
• Spin-incoherent behavior in the ground state of strongly correlated systems
• Sudden expansion and domain-wall melting of strongly interacting bosons in two-dimensional optical lattices and on multileg ladders
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Photoexcitation of electronic instabilities in one-dimensional charge-transfer systems
• Chebyshev expansion of spectral functions using restricted Boltzmann machines
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
• Magnon spectrum of altermagnets beyond linear spin wave theory: Magnon-magnon interactions via time-dependent matrix product states vs. atomistic spin dynamics
• Time-dependent numerical renormalization group method for multiple quenches: towards exact results for the long time limit of thermodynamic observables and spectral functions
• Quantum sine-Gordon dynamics in coupled spin chains
• The dissipative Generalized Hydrodynamic equations and their numerical solution
• Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Photoinduced Hund excitons in the breakdown of a two-orbital Mott insulator
• Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Approximating open quantum system dynamics in a controlled and efficient way: A microscopic approach to decoherence
• Quantum many-body states and Green functions of nonequilibrium electron-magnon systems: Localized spin operators vs. their mapping to Holstein-Primakoff bosons
• Universal short time quantum critical dynamics of finite size systems
• Dynamical windows for real-time evolution with matrix product states
• Improved Efficiency of Open Quantum System Simulations Using Matrix Products States in the Interaction Picture
• Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix Renormalization Group
• Domain-wall melting in ultracold boson systems with holes and spin-flip defects
• Experimental observation of repulsively bound magnons
• Dynamical simulations of charged soliton transport in conjugated polymers with the inclusion of electron-electron interactions
• Simulating the Dynamics of Single Photons in BosonSampling Devices with Matrix Product States
• Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
• Describing many-body bosonic waveguide scattering with the truncated Wigner method
• Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
• Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics
• A scalable numerical approach to the solution of the Dyson equation for the non-equilibrium single-particle Green's function
• Efficient Quantum Simulation for Thermodynamics of Infinite-size Many-body Systems in Arbitrary Dimensions
• One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Complex Time Evolution in Tensor Networks
• Compact and complete description of non-Markovian dynamics
• BBGKY Hierarchy and Generalised Hydrodynamics
• Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
• Generalized dynamic scaling for quantum critical relaxation in imaginary time
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Time-dependent currents of 1D bosons in an optical lattice
• Electronic quasiparticles in the quantum dimer model: density matrix renormalization group results
• Ultrafast Laser Driven Many-Body Dynamics and Kondo Coherence Collapse
• Electronic spin-spin decoherence contribution in molecular qubits by quantum unitary spin dynamics
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
• Stroboscopic observation of quantum many-body dynamics
• Closed and Open System Dynamics in a Fermionic Chain with a Microscopically Specified Bath: Relaxation and Thermalization
• Quantum spin torque driven transmutation of antiferromagnetic Mott insulator
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
• Collective bath coordinate mapping of "hierarchy" in hierarchical equations of motion
• Color-charge separation in trapped SU(3) fermionic atoms
• Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices
• Wave packet dynamics in the one-dimensional extended Hubbard model
• Propagation of a single hole defect in the one-dimensional Bose-Hubbard model
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Effect of Electron-Electron Interactions on the Charge Carrier Transitions in trans-Polyacetylene
• Phase-induced transport in atomic gases: from superfluid to Mott insulator
• Projector formalism for kept and discarded spaces of matrix product states
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Density-of-states of many-body quantum systems from tensor networks
• Spin-orbit coupled correlated metal phase in Kondo lattices: an implementation with alkaline-earth atoms
• Solitary excitations in one-dimensional spin chains
• The two-body random spin ensemble and a new type of quantum phase transition
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Uhlmann fidelities from tensor networks
• Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems
• Geometry of reduced density matrices for symmetry-protected topological phases
• Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
• Entanglement spreading after local fermionic excitations in the XXZ chain
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
• Correlation and entanglement spreading in nested spin chains
• Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
• Fast Time-Evolution of Matrix-Product States using the QR decomposition
• Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models
• End-to-end entanglement in Bose-Hubbard chains
• Ultracold Atoms in 1D Optical Lattices: Mean Field, Quantum Field, Computation, and Soliton Formation
• Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
• Finite-temperature photoemission in the extended Falicov-Kimball model: a case study for Ta${}_2$NiSe${}_5$
• Time-dependent spectral properties of photoexcited one-dimensional ionic Hubbard model: an exact diagonalization study
• On a method to calculate conductance by means of the Wigner function: two critical tests
• High order non-unitary split-step decomposition of unitary operators
• Photoinduced metallization of excitonic insulators
• Root-N Krylov-space correction-vectors for spectral functions with the density matrix renormalization group
• Tuning energy transport using interacting vibrational modes
• Correlation density matrices for 1- dimensional quantum chains based on the density matrix renormalization group
• Disentangling Sources of Quantum Entanglement in Quench Dynamics
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Entanglement evolution of a spin chain bath in driving the decoherence of a coupled quantum spin
• Polynomial scaling enhancement in ground-state preparation of Ising spin models via counter-diabatic driving
• Confinement: a real-time visualization
• Dimerization and spin-decoupling in two-leg Heisenberg ladder with frustrated trimer rungs
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• Quantum Spinon Oscillations
• Pure state thermodynamics with matrix product states
• Qubit-photon corner states in all dimensions
• Tensor network methods with graph enhancement
• Dynamically enhanced unconventional superconducting correlations in a Hubbard ladder
• Doublon dynamics of Bose-Fermi mixtures in optical lattices
• Coherent spin-current oscillations in transverse magnetic fields
• Adaptive Time Stepping for the Two-Time Integro-Differential Kadanoff-Baym Equations
• Fast initialization of a high-fidelity quantum register using optical superlattices
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Simulation of braiding anyons using Matrix Product States
• Purity of thermal mixed quantum states
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Atomic lattice excitons: from condensates to crystals
• Dipole oscillations of fermionic superfluids along the BEC-BCS crossover in disordered potentials
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Nonstabilizerness in open XXZ spin chains: Universal scaling and dynamics
• Quench dynamics in lattices above one dimension: the free fermionic case
• Simulating local measurements on a quantum many body system with stochastic matrix product states
• Certificates of quantum many-body properties assisted by machine learning
• Sampling scheme for neuromorphic simulation of entangled quantum systems
• Solvable Markovian dynamics of lattice quantum spin models
• Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements
• Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Particle number conservation in quantum many-body simulations with matrix product operators
• First-principles quantum dynamics for fermions: Application to molecular dissociation
• Magnetic field induced bound states in spin-$\frac{1}{2}$ ladders
• The Quantum Steeplechase
• Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss
• Dynamical correlation functions from complex time evolution
• Solvable entanglement dynamics in quantum circuits with generalized space-time duality
• Beyond perturbation theory: A time-dependent approach to inelastic scattering spectroscopies in- and away from equilibrium
• Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
• Gauged Gaussian PEPS -- A High Dimensional Tensor Network Formulation for Lattice Gauge Theories
• Time-dependent spectral functions of the Anderson impurity model in response to a quench with application to time-resolved photoemission spectroscopy
• Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model
• Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
• Flavor fluctuations in 3-level quantum dots: Generic SU(3)-Kondo fixed point in equilibrium and non-Kondo fixed points in nonequilibrium
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Universal long-time behavior of stochastically driven interacting quantum systems
• Relaxation of photoexcitations in polaron-induced magnetic microstructures
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• Nonequilibrium quantum dynamics of the magnetic Anderson model
• Thermal cycle and polaron formation in structured bosonic environments
• Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation
• Effective one-band models for the 1D cuprate Ba${}_{2-x}$Sr${}_x$CuO${}_{3+\delta }$
• Classical Simulations of Quantum Field Theory in Curved Spacetime I: Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme
• Hierarchy of double-time correlations
• Decay and revival of a transient trapped Fermi condensate
• Quantized transport induced by topology transfer between coupled one-dimensional lattice systems
• Double Time Window Targeting Technique: Real time DMRG dynamics in the PPP model
• Momentum-resolved time evolution with matrix product states
• An Extension of ETH to Non-Equilibrium Steady States
• Spectral functions with infinite projected entangled-pair states
• Trapped Ultracold Bosons in Periodically Modulated Lattices
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Dynamics of rotated spin states and magnetic ordering with two-component bosonic atoms in optical lattices
• Particle statistics and lossy dynamics of ultracold atoms in optical lattices
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Precise ground state of multi-orbital Mott systems via the variational discrete action theory
• Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
• Noise-Agnostic Quantum Error Mitigation with Data Augmented Neural Models
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
• Spin Andreev-like reflection in metal-Mott insulator heterostructures
• Efficiency of fermionic quantum distillation
• Simple embedding scheme for the spectral properties of the Single-Impurity Anderson Model
• On model reduction for quantum dynamics: symmetries and invariant subspaces
• Strong quenches in the one-dimensional Fermi-Hubbard model
• Löwdin's symmetry dilemma within Green functions theory for the one-dimensional Hubbard model
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Dynamical simulations of carotenoid photoexcited states using density matrix renormalization group techniques
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Thermal Pure States for Systems with Antiunitary Symmetries and Their Tensor Network Representations
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• Increased coherence time in narrowed bath states in quantum dots
• Matrix Product States with adaptive global symmetries
• Real-time effective-action approach to the Anderson quantum dot
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance
• Experimentally accessible witnesses of many-body localisation
• Majorana edge-modes in a spinful particle conserving model
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Density Matrix Renormalization Group Algorithm For Mixed Quantum States
• Fractional Excitations in Cold Atomic Gases
• Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Dynamic scaling of the restoration of rotational symmetry in Heisenberg quantum antiferromagnets
• Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)${}_2$Br${}_2$: An experimental and theoretical study
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Quantum quench in 2D using the variational Baeriswyl wavefunction
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• The Functional Renormalization Group for Zero-Dimensional Quantum Systems in and out of Equilibrium
• Excitations and impurity dynamics in a fermionic Mott insulator with nearest-neighbor interactions
• Tuning the entanglement growth in matrix-product-state evolution of quantum systems by nonunitary similarity transformations
• Spectral function of the $U\to \infty$ one dimensional Hubbard model at finite temperature and the crossover to the spin incoherent regime
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• Decoherence of an impurity in a one-dimensional fermionic bath with mass imbalance
• Relaxation towards negative temperatures in bosonic systems: Generalized Gibbs ensembles and beyond integrability
• Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions
• Renormalization group for open quantum systems using environment temperature as flow parameter
• Dynamical scaling laws in the quantum $q$-state clock chain
• Time-dependent Neural Galerkin Method for Quantum Dynamics
• Critical analysis of a variational method used to describe the molecular electron transport
• Nonlinear Transport through Quantum Dots Studied by the Time-Dependent DMRG
• Self-trapping dynamics in a 2D optical lattice
• Repulsively bound magnon excitations of a spin-1/2 XXZ chain in a staggered transverse field
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Distinguishing Phases with Ansatz Wavefunctions
• Energy-filtered quantum states and the emergence of non-local correlations
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Impact of the phonon environment on the nonlinear quantum-dot-cavity QED. I. Path-integral approach
• Phase transitions in sampling and error correction in local Brownian circuits
• Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation
• Simulation of Anyons Using Symmetric Tensor Network Algorithms
• Path-Integral Formulation of Truncated Wigner Approximation for Bosonic Markovian Open Quantum Systems
• Minimally entangled typical thermal states algorithm with Trotter gates
• Large-scale stochastic simulation of open quantum systems
• Entanglement Entropy of the Two-Dimensional +-J Ising Model on the Nishimori Line
• The Future of the Correlated Electron Problem
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Direct interpolative construction of the discrete Fourier transform as a matrix product operator
• Fingerprints of supersymmetric spin and charge dynamics observed by inelastic neutron scattering
• On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system
• Low dimensional correlations under thermal fluctuations
• Spinon and eta-spinon correlation functions
• Moving perturbation in a one-dimensional Fermi gas
• Chain representations of open quantum systems and their numerical simulation with time-adapative density matrix renormalisation group methods
• Dynamics of heat and mass transport in a quantum insulator
• Transport of interface states in the Heisenberg chain
• Dipolar Dynamics for Interacting Ultracold Fermions in a Trapped Optical Lattice
• Accessing finite momentum excitations of the one-dimensional Bose-Hubbard model using superlattice modulation spectroscopy
• From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
• Restoring the continuum limit in the time-dependent numerical renormalization group approach
• Ultrafast X-ray Absorption Spectroscopy of Strongly Correlated Systems: Core Hole Effect
• Entangled states from sparsely coupled spins for metrology with neutral atoms
• Birth and Early Growth of Entanglement by sd Exchange with Gate-Voltage-Controllable Destiny
• Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-$\frac{1}{2}$ antiferromagnetic Heisenberg trimer chain
• Self-energy method for time-dependent spectral functions of the Anderson impurity model within the time-dependent numerical renormalization group approach
• Efficient quantum information probes of non-equilibrium quantum criticality
• Long-lived circulating currents in strongly correlated nanorings
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Solving real time evolution problems by constructing excitation operators
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Controllable spin-current blockade in a Hubbard chain
• Transport through two interacting resonant levels connected by a Fermi sea
• Out of equilibrium mean field dynamics in the transverse field Ising model
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Energy transport between critical one-dimensional systems with different central charges
• Particle Correlations in Bose-Einstein Condensates
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Effect of dimerization on dynamics of spin-charge separation in Pariser-Parr-Pople model: A time-dependent density matrix renormalization group study
• Assessing quantum dot SWAP gate fidelity using tensor network methods
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Nonclassical dynamics of Néel vector and magnetization accompanied by THz and high-harmonic radiation from ultrafast-light-driven NiO antiferromagnet insulator
• A quantum dynamics method for excited electrons in molecular aggregate system using a group diabatic Fock matrix
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• Charge-spin-orbital dynamics of one-dimensional two-orbital Hubbard model
• Efficient tensor network simulation of multi-emitter non-Markovian systems
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Sample complexity of matrix product states at finite temperature
• Generation of chiral solitons in antiferromagnetic chains by a quantum quench
• Density redistribution effects in fermionic optical lattices
• Dynamic inhomogeneities and phase separation after quantum quenches in strongly correlated systems
• Studies of braided non-Abelian anyons using anyonic tensor networks
• Thermal DMRG for highly frustrated quantum spin chains: a user perspective
• Non-equilibrium variational cluster perturbation theory: quench dynamics of the quantum Ising model
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Coherence loss and recovery of an electron spin coupled inhomogeneously to a one-dimensional interacting spin bath: an adaptive t-DMRG study
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions
• Energy density driven ultrafast electronic excitations in a cuprate superconductor
• Equally entangled multiqubit states
• The Software Landscape for the Density Matrix Renormalization Group
• Excitations and dynamical structure factor of $J_1-J_2$ spin-$3/2$ and spin-$5/2$ Heisenberg spin chains
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Towards Excitations and Dynamical Quantities in Correlated Lattices with Density Matrix Embedding Theory
• Real-Time Dynamics of a Spin Chain with Dzyaloshinskii-Moriya Interactions: Spiral Formation and Quantum Spin Oscillations
• Projected Entangled Pair States for Lattice Gauge Theories with Dynamical Fermions
• Short-time simulation of quantum dynamics by Pauli measurements
• Investigating Stark many-body localization with continuous unitary transformation flows
• Efficient unitary method for simulation of driven quantum dot systems
• From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions
• Tunable critical supercurrent and spin-asymmetric Josephson effect in superlattices
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Practical recipes for the model order reduction, dynamical simulation, and compressive sampling of large-scale open quantum systems
• Geometric quenches in quasi-disordered lattice system
• Ferromagnetism and doublon localization in a Wannier-Hubbard chain
• Protecting information in a parametrically driven hybrid quantum system
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Numerically efficient unitary evolution for Hamiltonians beyond nearest-neighbors
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Phase transitions from Heating to non-heating in SU(1, 1) quantum dynamics: applications to Bose-Einstein condensates and periodically driven coupled oscillators
• Periodic cavity state revivals from atomic frequency combs
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Spin current through an ESR quantum dot: A real-time study
• Pauli weight requirement of the matrix elements in time-evolved local operators: dependence beyond the equilibration temperature
• On the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Real-time density matrix renormalization group dynamics of spin and charge transport in push-pull polyenes and related systems
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench
• Roughening Transition in Quantum Circuits
• Fractal Path Strategies for Efficient 2D DMRG Simulations
• Confinement, deconfinement, and bound states in the spin-$1$ and spin-$3/2$ generalizations of the Majumdar--Ghosh chain
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
• N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
• Boundary Criticality at the Nishimori Multicritical Point
• Determination of ground states of one-dimensional quantum systems using the cluster iTEBD method
• Radio-frequency driving of an attractive Fermi gas in a one-dimensional optical lattice
• Charge density wave breakdown in a heterostructure with electron-phonon coupling
• Locally accurate tensor networks for thermal states and time evolution
• Nonequilibrium Steady States in the Weakly-Coupled XXZ Model