27 citations · 97 across the 17 of their papers we have counts for
10 papers · 1 filter
Chiral Parafermions in Floquet Topological Order
Melissa Will, Harald Schmid, Jan Egger +3
Floquet topological order (FTO) extends topology beyond equilibrium, giving rise to phenomena, such as the dynamical transmutation of anyons. Here, we realize FTO in…
Non-Abelian Anyon Condensation: a Path-Integral Monte Carlo Approach
Rafael Flores-Calderón, Frank Pollmann, Michael Knap
Transitions out of non-Abelian topological order are difficult to describe in microscopic quantum models with numerical methods that remain tractable at large scales. We develop a…
Non-invertible Lattice 1-Form Symmetries for Non-Abelian Topological Order
Rafael Flores-Calderón, Frank Pollmann, Michael Knap
Higher-form symmetries generalize conventional global symmetries and act on lower-dimensional submanifolds of a quantum system. While Abelian topological phases can be organized by…
Simulating Topological Order on Quantum Processors
Adam Gammon-Smith, Michael Knap, Frank Pollmann
It is an ongoing quest to realize topologically ordered quantum states on different platforms including condensed matter systems, quantum simulators and digital quantum processors.…
Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
Gloria Isbrandt, Frank Pollmann, Michael Knap
Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin cou…
Tensor-network study of the roughening transition in a (2 + 1)D lattice gauge theory with matter
Wen-Tao Xu, Michael Knap, Frank Pollmann
Within the confined phase of (2+1)D lattice gauge theories a roughening transition arises between a weakly confined regime with floppy string excitations and a strongly confined re…
Quantum Phase Transitions between Symmetry-Enriched Fracton Phases
Julian Boesl, Yu-Jie Liu, Wen-Tao Xu +2
Topologically ordered phases exhibit further complexity in the presence of global symmetries: Their anyonic excitations may exhibit different transformation patterns under these sy…
Critical behavior of Fredenhagen-Marcu string order parameters at topological phase transitions with emergent higher-form symmetries
Wen-Tao Xu, Frank Pollmann, Michael Knap
A nonlocal string order parameter detecting topological order and deconfinement has been proposed by Fredenhagen and Marcu (FM). However, due to the lack of exact internal symmetri…
Finite Temperature Entanglement Negativity of Fermionic Symmetry Protected Topological Phases and Quantum Critical Points in One Dimension
Wonjune Choi, Michael Knap, Frank Pollmann
We study the logarithmic entanglement negativity of symmetry-protected topological (SPT) phases and quantum critical points (QCPs) of one-dimensional noninteracting fermions at fin…
Entanglement Properties of Gauge Theories from Higher-Form Symmetries
Wen-Tao Xu, Tibor Rakovszky, Michael Knap +1
We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and h…