The claimed intrinsic dipole moment at FQH edges is protected only at filling factor 1/3 and absent in other representative edge systems.
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18 Pith papers cite this work. Polarity classification is still indexing.
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Numerical calculations reveal a chiral p-wave roton mode at finite momentum and a d-wave nematic mode at zero momentum in the SU(2) symmetric chiral spin liquid phase of the J1-J2-Jχ model.
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
Numerical discovery of two zero-field Pokrovsky-Talapov commensurate-incommensurate Mott transitions in a frustrated XXZ chain that stabilize a nematic Luttinger liquid phase.
Experimental preparation of topologically nontrivial critical states of the cluster Ising model on a 100-qubit superconducting processor, verified by boundary g-function and two-fold entanglement spectrum degeneracy under periodic boundaries.
DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
Structure-aware VQE ansatze for long-range Ising models cut required circuit layers by 2.5x to 3.8x in non-local regimes while two-qubit gate counts scale quadratically with system size, consistent with the number of Hamiltonian terms.
Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
Tensor-network compression of nearest-neighbor circuits plus four-type measurements yields 0.4-4.7% error on 8-qubit Hubbard energy gaps and enables QPE-type runs on IBM devices up to 52 qubits with over 4000 two-qubit gates.
The succinct state 2-local Hamiltonian problem for qubit Hamiltonians is promise-MA-complete.
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
Deconfined criticality in a 1D lattice model is shown to be an intrinsically gapless topological state whose mixed anomaly enforces robust edge modes without gapped counterparts.
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
A new fusion of adiabatic preconditioning and the Rodeo Algorithm, built hierarchically from solvable subsystems, enables robust exponential convergence for eigenstate preparation in the spin-1/2 XX model at high precision.
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
Numerical examples show that the tensor network loop cluster expansion yields approximately exponential convergence of contraction error with cluster size for ground-state observables in high-bond-dimension tensor networks across 2D/3D spin and fermion systems.
citing papers explorer
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Does a Fractional Quantum Hall Edge Have a Protected Intrinsic Dipole Moment?
The claimed intrinsic dipole moment at FQH edges is protected only at filling factor 1/3 and absent in other representative edge systems.
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Collective excitations in chiral spin liquid: chiral roton and long-wavelength nematic mode
Numerical calculations reveal a chiral p-wave roton mode at finite momentum and a d-wave nematic mode at zero momentum in the SU(2) symmetric chiral spin liquid phase of the J1-J2-Jχ model.
-
Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
-
Extracting conserved operators from a projected entangled pair state
A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
-
Commensurate-incommensurate Mott transition without magnetic field: emergence of nematic Luttinger liquid in XXZ chain
Numerical discovery of two zero-field Pokrovsky-Talapov commensurate-incommensurate Mott transitions in a frustrated XXZ chain that stabilize a nematic Luttinger liquid phase.
-
Exploring nontrivial topology at quantum criticality in a superconducting processor
Experimental preparation of topologically nontrivial critical states of the cluster Ising model on a 100-qubit superconducting processor, verified by boundary g-function and two-fold entanglement spectrum degeneracy under periodic boundaries.
-
BCS-BEC crossover in trapped one-dimensional Fermi-Hubbard chains: entanglement and correlation signatures from DMRG and effective-pairing theory
DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.
-
Model-agnostic cooling algorithms for strongly interacting fermions
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
-
Scaling of Quantum Resources for Simulating a Long-Range System
Structure-aware VQE ansatze for long-range Ising models cut required circuit layers by 2.5x to 3.8x in non-local regimes while two-qubit gate counts scale quadratically with system size, consistent with the number of Hamiltonian terms.
-
Quantum phases in the interacting generalized Su-Schrieffer-Heeger model
Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
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Tensor-based phase difference estimation on time series analysis
Tensor-network compression of nearest-neighbor circuits plus four-type measurements yields 0.4-4.7% error on 8-qubit Hubbard energy gaps and enables QPE-type runs on IBM devices up to 52 qubits with over 4000 two-qubit gates.
-
On the Complexity of the Succinct State Local Hamiltonian Problem
The succinct state 2-local Hamiltonian problem for qubit Hamiltonians is promise-MA-complete.
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Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
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Deconfined criticality as intrinsically gapless topological state in one dimension
Deconfined criticality in a 1D lattice model is shown to be an intrinsically gapless topological state whose mixed anomaly enforces robust edge modes without gapped counterparts.
-
Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
-
Hierarchical Fusion Method for Scalable Quantum Eigenstate Preparation
A new fusion of adiabatic preconditioning and the Rodeo Algorithm, built hierarchically from solvable subsystems, enables robust exponential convergence for eigenstate preparation in the spin-1/2 XX model at high precision.
-
Accelerating two-dimensional tensor network contractions using QR decompositions
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
-
Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems
Numerical examples show that the tensor network loop cluster expansion yields approximately exponential convergence of contraction error with cluster size for ground-state observables in high-bond-dimension tensor networks across 2D/3D spin and fermion systems.