Duality between (2+ 1) d quantum critical points
Duality refers to two equivalent descriptions of the same theory from different points of view.
Recently there has been tremendous progress in formulating and understanding possible …
Recently there has been tremendous progress in formulating and understanding possible …
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry
SH Shao - arxiv preprint arxiv:2308.00747, 2023 - arxiv.org
We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …
invertible symmetry, in diverse spacetime dimensions. We start with several different but …
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
Quantum phases and transitions in spin chains with non-invertible symmetries
Generalized symmetries often appear in the form of emergent symmetries in low energy
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …
Majorana nanowires for topological quantum computation
P Marra - Journal of Applied Physics, 2022 - pubs.aip.org
Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …
Building crystalline topological phases from lower-dimensional states
We study the classification of symmetry-protected topological (SPT) phases with crystalline
symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions …
symmetry (cSPT phases). Focusing on bosonic cSPT phases in two and three dimensions …
Lieb-schultz-mattis theorem in open quantum systems
The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …
body systems and plays a significant role in the Haldane gap phenomena and topological …
Supersymmetric conformal field theories from quantum stabilizer codes
We construct fermionic conformal field theories (CFTs) whose spectra are characterized by
quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with …
quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with …
Probing sign structure using measurement-induced entanglement
The sign structure of quantum states is closely connected to quantum phases of matter, yet
detecting such fine-grained properties of amplitudes is subtle. Here we employ as a …
detecting such fine-grained properties of amplitudes is subtle. Here we employ as a …
Simple fermionic model of deconfined phases and phase transitions
Using quantum Monte Carlo simulations, we study a series of models of fermions coupled to
quantum Ising spins on a square lattice with N flavors of fermions per site for N= 1, 2, and 3 …
quantum Ising spins on a square lattice with N flavors of fermions per site for N= 1, 2, and 3 …