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