Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
Zauner-Stauber, L
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We combine the Density Matrix Renormalization Group (DMRG) with Matrix Product State tangent space concepts to construct a variational algorithm for finding ground states of one dimensional quantum lattices in the thermodynamic limit. A careful comparison of this variational uniform Matrix Product State algorithm (VUMPS) with infinite Density Matrix Renormalization Group (IDMRG) and with infinite Time Evolving Block Decimation (ITEBD) reveals substantial gains in convergence speed and precision. We also demonstrate that VUMPS works very efficiently for Hamiltonians with long range interactions and also for the simulation of two dimensional models on infinite cylinders. The new algorithm can be conveniently implemented as an extension of an already existing DMRG implementation.
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A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
Magnetization-non-conserving spin-orbit interactions enable quantum fluctuations to stabilize chiral ferromagnetic phases with spontaneous orbital chirality and enhanced thermal Hall effect, contrary to classical predictions of only collinear order.
Uniform MPS simulations of dense 1+1D SU(2) gauge theory find Tomonaga-Luttinger liquid infrared behavior with central charge 1, density modulations at the predicted wavenumber, and a smooth crossover in the Luttinger parameter from K~1 to K~1/2 that realizes the quarkyonic picture with coexisting q
Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.
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The two-flavor Schwinger model at 50: Solving Coleman's puzzles
Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
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Infinite matrix product states for $(1+1)$-dimensional gauge theories
A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
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Fluctuation-driven chiral ferromagnetism
Magnetization-non-conserving spin-orbit interactions enable quantum fluctuations to stabilize chiral ferromagnetic phases with spontaneous orbital chirality and enhanced thermal Hall effect, contrary to classical predictions of only collinear order.
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Dense $\mathrm{QC_2D_2}$ with uniform matrix product states
Uniform MPS simulations of dense 1+1D SU(2) gauge theory find Tomonaga-Luttinger liquid infrared behavior with central charge 1, density modulations at the predicted wavenumber, and a smooth crossover in the Luttinger parameter from K~1 to K~1/2 that realizes the quarkyonic picture with coexisting q
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Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations
Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.