Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
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2010.Log-Gases and Random Matrices (LMS-34)
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representative citing papers
First tensor-network simulation of real-time hadronic scattering in (1+1)D SU(2) lattice gauge theory reveals entanglement and spatial delocalization in the baryon-number-one sector at strong coupling.
PEPSKit.jl is a new Julia software package providing high-level algorithms for iPEPS tensor-network simulations of 2D quantum systems with symmetry support.
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
Presents IntegrateUnitary.jl, a Julia package implementing Weingarten calculus and Wick contractions for exact symbolic integration over Haar measures on compact groups and related ensembles.
QCommute is a new C++ tool for algebraic symbolic computation of nested commutators in quantum spin-1/2 many-body systems on hypercubic lattices in the thermodynamic limit.
SeQuant introduces a graph-theoretic tensor network canonicalizer for efficient symbolic manipulation and numerical evaluation of tensors over commutative and non-commutative rings, with support for noncovariant and nested tensors.
Presents a tensor-parallel distributed MPS method with block-cyclic partitioning and pivoted QR that emulates Google's RCS benchmark at bond dimension 16384 on 32 nodes, claiming three orders of magnitude better accuracy than prior methods.
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
Numerical simulations of the triangular Majorana-Hubbard ladder reveal multiple symmetry-protected topological phases identified through entanglement spectrum degeneracies and adiabatic connections.
In the Bose-Hubbard model, density correlation fronts propagate ballistically for all interaction strengths, while the correlation transport distance shows sub-ballistic growth in the chaotic phase due to distance-dependent long-time tails and enhanced front decay.
A quantics tensor train solver resolves the Gross-Pitaevskii equation across seven orders of magnitude in length scale in one dimension and on grids larger than a trillion points in two dimensions.
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
Tensor networks developed for quantum states are reviewed as tools for machine learning models, with assessment of their potential computational, explanatory, and privacy advantages alongside remaining challenges.
citing papers explorer
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Long-lived local quantum coherences from hydrodynamic large deviations
Quantum coherences bind to hydrodynamic voids forming polaron-like objects, parametrically enhancing lifetimes and producing subdiffusive Green's functions in charge-conserving dynamics.
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Hadronic scattering in (1+1)D SU(2) lattice gauge theory from tensor networks
First tensor-network simulation of real-time hadronic scattering in (1+1)D SU(2) lattice gauge theory reveals entanglement and spatial delocalization in the baryon-number-one sector at strong coupling.
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PEPSKit.jl: A Julia package for projected entangled-pair state simulations
PEPSKit.jl is a new Julia software package providing high-level algorithms for iPEPS tensor-network simulations of 2D quantum systems with symmetry support.
-
Adaptive Patching for Tensor Train Computations
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
-
Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
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IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures
Presents IntegrateUnitary.jl, a Julia package implementing Weingarten calculus and Wick contractions for exact symbolic integration over Haar measures on compact groups and related ensembles.
-
QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems
QCommute is a new C++ tool for algebraic symbolic computation of nested commutators in quantum spin-1/2 many-body systems on hypercubic lattices in the thermodynamic limit.
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SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities
SeQuant introduces a graph-theoretic tensor network canonicalizer for efficient symbolic manipulation and numerical evaluation of tensors over commutative and non-commutative rings, with support for noncovariant and nested tensors.
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Tensor-Parallel Emulation of Quantum Circuits with Block-Cyclic Distributed Matrix Product States
Presents a tensor-parallel distributed MPS method with block-cyclic partitioning and pivoted QR that emulates Google's RCS benchmark at bond dimension 16384 on 32 nodes, claiming three orders of magnitude better accuracy than prior methods.
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Revisiting semiclassical scalar QED in 1+1 dimensions
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
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Symmetry-Protected Topological Phases in the Triangular Majorana-Hubbard Ladder
Numerical simulations of the triangular Majorana-Hubbard ladder reveal multiple symmetry-protected topological phases identified through entanglement spectrum degeneracies and adiabatic connections.
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Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
In the Bose-Hubbard model, density correlation fronts propagate ballistically for all interaction strengths, while the correlation transport distance shows sub-ballistic growth in the chaotic phase due to distance-dependent long-time tails and enhanced front decay.
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Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
A quantics tensor train solver resolves the Gross-Pitaevskii equation across seven orders of magnitude in length scale in one dimension and on grids larger than a trillion points in two dimensions.
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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
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Quantum-inspired tensor networks in machine learning models
Tensor networks developed for quantum states are reviewed as tools for machine learning models, with assessment of their potential computational, explanatory, and privacy advantages alongside remaining challenges.