The bond-algebraic approach to dualities
An algebraic theory of dualities is developed based on the notion of bond algebras. It deals
with classical and quantum dualities in a unified fashion explaining the precise connection …
with classical and quantum dualities in a unified fashion explaining the precise connection …
Kitaev-Heisenberg Model on a Honeycomb Lattice: <?format ?>Possible Exotic Phases in Iridium Oxides
J Chaloupka, G Jackeli, G Khaliullin - Physical review letters, 2010 - APS
We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the
exchange interactions between Ir 4+ ions in a family of layered iridates A 2 IrO 3 (A= Li, Na) …
exchange interactions between Ir 4+ ions in a family of layered iridates A 2 IrO 3 (A= Li, Na) …
Fusion category symmetry I: anomaly in-flow and gapped phases
R Thorngren, Y Wang - arXiv preprint arXiv:1912.02817, 2019 - arxiv.org
We study generalized discrete symmetries of quantum field theories in 1+ 1D generated by
topological defect lines with no inverse. In particular, we describe't Hooft anomalies and …
topological defect lines with no inverse. In particular, we describe't Hooft anomalies and …
Area laws in a many-body localized state and its implications for topological order
The question whether Anderson insulators can persist to finite-strength interactions—a
scenario dubbed many-body localization—has recently received a great deal of interest. The …
scenario dubbed many-body localization—has recently received a great deal of interest. The …
Topological quantum order: stability under local perturbations
We study zero-temperature stability of topological phases of matter under weak time-
independent perturbations. Our results apply to quantum spin Hamiltonians that can be …
independent perturbations. Our results apply to quantum spin Hamiltonians that can be …
Topological multicritical point in the phase diagram of the toric code model and three-dimensional lattice gauge Higgs model
IS Tupitsyn, A Kitaev, NV Prokof'Ev, PCE Stamp - Physical Review B …, 2010 - APS
We construct a mapping between the two-dimensional toric code model in external magnetic
fields, hz and hx, and the three-dimensional classical Ising system with plaquette …
fields, hz and hx, and the three-dimensional classical Ising system with plaquette …
Robustness of a perturbed topological phase
We investigate the stability of the topological phase of the toric code model in the presence
of a uniform magnetic field by means of variational and high-order series expansion …
of a uniform magnetic field by means of variational and high-order series expansion …
Hilbert space shattering and dynamical freezing in the quantum Ising model
O Hart, R Nandkishore - Physical Review B, 2022 - APS
We discuss quantum dynamics in the transverse field Ising model in two spatial dimensions.
We show that, up to a prethermal timescale, which we quantify, the Hilbert space “shatters” …
We show that, up to a prethermal timescale, which we quantify, the Hilbert space “shatters” …
Mott Transitions: A Brief Review
MS Laad, L Craco - Advanced Quantum Technologies, 2024 - Wiley Online Library
This short review provides an overview of some aspects of the current understanding of Mott
insulators and Mott metal‐insulator transitions. The development of this field is traced, from …
insulators and Mott metal‐insulator transitions. The development of this field is traced, from …
Pivot Hamiltonians as generators of symmetry and entanglement
It is well-known that symmetry-protected topological (SPT) phases can be obtained from the
trivial phase by an entangler, a finite-depth unitary operator $ U $. Here, we consider …
trivial phase by an entangler, a finite-depth unitary operator $ U $. Here, we consider …