Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Lootens, Laurens"'
We leverage the interplay between gapped phases and dualities of symmetric one-dimensional quantum lattice models to demonstrate that every phase is efficiently characterised by the maximal breaking of the dual (genereralised) symmetry whose structur
Externí odkaz:
http://arxiv.org/abs/2408.06334
Autor:
Haegeman, Jutho, Lootens, Laurens, Mortier, Quinten, Stottmeister, Alexander, Ueda, Atsushi, Verstraete, Frank
We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The fermion doubling problem is circumvented by constructing a Fock space e
Externí odkaz:
http://arxiv.org/abs/2405.10285
We present a locality preserving unitary mapping from fermions to qubits on a 2D torus whilst accounting for the mapping of topological sectors. Extending the work of Shukla et al. [Phys. Rev. B 101, 155105], an explicit intertwiner is constructed in
Externí odkaz:
http://arxiv.org/abs/2404.07727
A systematic approach to dualities in symmetric (1+1)d quantum lattice models has recently been proposed in terms of module categories over the symmetry fusion categories. By characterizing the non-trivial way in which dualities intertwine closed bou
Externí odkaz:
http://arxiv.org/abs/2311.01439
It has been a long-standing open problem to construct a general framework for relating the spectra of dual theories to each other. Here, we solve this problem for the case of one-dimensional quantum lattice models with symmetry-twisted boundary condi
Externí odkaz:
http://arxiv.org/abs/2211.03777
Publikováno v:
Commun. Math. Phys. 402, 2691-2714 (2023)
The Schur orthogonality relations are a cornerstone in the representation theory of groups. We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable condition on the skeletal data for deciding whether a given bimodule ca
Externí odkaz:
http://arxiv.org/abs/2211.01947
Publikováno v:
Quantum 7, 927 (2023)
We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, rem
Externí odkaz:
http://arxiv.org/abs/2203.12563
We demonstrate that the matrix quantum group $SL_q(2)$ gives rise to nontrivial matrix product operator representations of the Lie group $SL(2)$, providing an explicit characterization of the nontrivial global $SU(2)$ symmetry of the XXZ model with p
Externí odkaz:
http://arxiv.org/abs/2202.06937
Publikováno v:
Phys. Rev. B 105, 085130 (2022)
We construct a constant depth quantum circuit that maps between Morita equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topological order, which demonstrates that Morita equivalent string-nets are in
Externí odkaz:
http://arxiv.org/abs/2112.12757
Publikováno v:
PRX Quantum 4, 020357 (2023)
We present a systematic recipe for generating and classifying duality transformations in one-dimensional quantum lattice systems. Our construction emphasizes the role of global symmetries, including those described by (non)-abelian groups but also mo
Externí odkaz:
http://arxiv.org/abs/2112.09091