Recurrence plots of two-site correlations in the quenched 1D transverse-field Ising model transition from periodic to multiscale structures across the ferromagnetic-to-paramagnetic transition, and recurrence quantifiers recover the critical field strength in an unsupervised manner.
Spin Structures and Exact Dualities in Low Dimensions
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
This paper derives a large web of exact lattice dualities in one and two spatial dimensions. Some of the dualities are well-known, while others, such as two-dimensional boson-parafermion dualities, are new. The procedure is systematic, independent of specific Hamiltonians, and generalizes to higher dimensions. One important result is a demonstration that spin structures in arbitrary lattice fermion theories can always be simply defined as topological gauge fields whose gauge group is the fermion number parity. This definition agrees with other expected properties of spin structures, and it motivates the introduction of "paraspin structures" that serve the same role in parafermion theories.
verdicts
UNVERDICTED 3representative citing papers
Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.
Parafermionization equates the Monster CFT to a gauged parafermion pair, yielding Rep(so(3)_p) symmetry and defect McKay-Thompson series invariant under Gamma_1(p+2).
citing papers explorer
-
Recurrence analysis of quantum many-body dynamics
Recurrence plots of two-site correlations in the quenched 1D transverse-field Ising model transition from periodic to multiscale structures across the ferromagnetic-to-paramagnetic transition, and recurrence quantifiers recover the critical field strength in an unsupervised manner.
-
From gauging to duality in one-dimensional quantum lattice models
Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.
-
Parafermionizing the Monster
Parafermionization equates the Monster CFT to a gauged parafermion pair, yielding Rep(so(3)_p) symmetry and defect McKay-Thompson series invariant under Gamma_1(p+2).