A new discrete causal representation of the self-energy is obtained by discretizing Kugler's symmetric estimator for use in impurity models and DMFT.
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Schollw¨ ock, The density-matrix renormalization group, Rev
15 Pith papers cite this work. Polarity classification is still indexing.
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The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.
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Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
Neural network quantum states compute Efimov bound states for 3-6 boson systems and mass-imbalanced fermions at unitarity, matching known energies and reproducing scale invariance and wave function features.
A spin-1 Kitaev-Gamma chain with single-ion anisotropy exhibits a Kitaev-to-large-D crossover and a changeover to an SU(2)₂ WZW continuous transition with emergent conformal symmetry.
Compressible tight-binding Hamiltonians on N=2^L sites map to L-pseudospin MPOs and can be solved at billion-site scale with TensorBinding.jl without explicit matrix storage.
In the 1D Fermi-Hubbard model with opposing spin-dependent linear potentials, the ground state shows three regimes with a staircase-like reduction in bound pairs as the gradient increases, enabling integer-level control of pairing.
A protocol leverages the disordered phase to set unbiased boundary configurations in finite Rydberg arrays, stabilizing bulk-like quantum order in 1D and 2D simulations.
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A local transverse-field Ising model reproduces the Page curve through kinematic subsystem resizing, even with zero boundary coupling.
Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.
DMRG calculations show that static vacancies in the critical J1-J2 transverse-field Ising chain form a one-parameter family of partially transmissive conformal defects tuned by J2.
DMRG and CMFT calculations reveal intermediate spiral and mixed plaquette-dimer phases for S=1 and S=3/2 on the Shastry-Sutherland lattice, with a global S-g phase diagram constructed from known limits.
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Symmetric estimator for discrete self-energy of discrete many-body systems
A new discrete causal representation of the self-energy is obtained by discretizing Kugler's symmetric estimator for use in impurity models and DMFT.
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Symmetry breaking phases and transitions in an Ising fusion category lattice model
The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.
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Observation of glueball excitations and string breaking in a $2+1$D $\mathbb{Z}_2$ lattice gauge theory on a trapped-ion quantum computer
A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
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Observation of genuine $2+1$D string dynamics in a U$(1)$ lattice gauge theory with a tunable plaquette term on a trapped-ion quantum computer
Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
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Neural-network quantum states for solving few-body problems: application to Efimov physics
Neural network quantum states compute Efimov bound states for 3-6 boson systems and mass-imbalanced fermions at unitarity, matching known energies and reproducing scale invariance and wave function features.
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Crossover and Changeover in Spin-1 Kitaev-$\Gamma$ Chain with Uniaxial Single-ion Anisotropy
A spin-1 Kitaev-Gamma chain with single-ion anisotropy exhibits a Kitaev-to-large-D crossover and a changeover to an SU(2)₂ WZW continuous transition with emergent conformal symmetry.
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Tensor network solvers for ultra-large tight-binding Hamiltonians: algorithms and applications
Compressible tight-binding Hamiltonians on N=2^L sites map to L-pseudospin MPOs and can be solved at billion-site scale with TensorBinding.jl without explicit matrix storage.
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Ground state of the Hubbard model with spin-dependent linear potential
In the 1D Fermi-Hubbard model with opposing spin-dependent linear potentials, the ground state shows three regimes with a staircase-like reduction in bound pairs as the gradient increases, enabling integer-level control of pairing.
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Stabilization of bulk quantum orders in finite Rydberg atom arrays
A protocol leverages the disordered phase to set unbiased boundary configurations in finite Rydberg arrays, stabilizing bulk-like quantum order in 1D and 2D simulations.
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Enhancing Neural-Network Variational Monte Carlo through Basis Transformation
A learnable Gaussian-basis locality parameter α lowers NNVMC variational energies on the 3D electron gas and sharpens the Fermi-liquid–Wigner-crystal transition for message-passing ansatze.
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Kinematic Emergence of the Page Curve in a Local Transverse-Field Ising Model
A local transverse-field Ising model reproduces the Page curve through kinematic subsystem resizing, even with zero boundary coupling.
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Stacked quantum Ising systems and quantum Ashkin-Teller model
Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.
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Static vacancies as parametrized conformal defects in the critical $J_1$--$J_2$ transverse-field Ising chain
DMRG calculations show that static vacancies in the critical J1-J2 transverse-field Ising chain form a one-parameter family of partially transmissive conformal defects tuned by J2.
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Spiral and Mixed Plaquette-Dimer Phases in the $S=1$ and $3/2$ Shastry-Sutherland Heisenberg Model
DMRG and CMFT calculations reveal intermediate spiral and mixed plaquette-dimer phases for S=1 and S=3/2 on the Shastry-Sutherland lattice, with a global S-g phase diagram constructed from known limits.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.