A discretization-plus-coarse-graining scheme turns continuous-space interacting particles into a tensor-network-representable lattice model, enabling partition-function calculations for the 2D hard-disk problem.
Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019)
6 Pith papers cite this work. Polarity classification is still indexing.
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A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
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.
An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.
Tensor network calculations reveal rich entanglement patterns, quantum phase transitions, and tunable spin coherence in a molecular Lieb-lattice circuit designed for spin-based quantum computing.
Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.
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Solving the Peierls-Boltzmann transport equation with matrix product states
An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.