69 citations · 131 across the 15 of their papers we have counts for
10 papers · 1 filter
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…
Entanglement Holography in Quantum Phases via Twisted Rényi-N Correlators
Pablo Sala, Frank Pollmann, Masaki Oshikawa +1
We introduce a holographic framework for the entanglement Hamiltonian in symmetry-protected topological (SPT) phases with area-law entanglement, whose reduced density matrix $ρ\pro…
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…
Characterizing the Entanglement of Anyonic Systems using the Anyonic Partial Transpose
Nico Kirchner, Wonjune Choi, Frank Pollmann
Entanglement of mixed quantum states can be quantified using the partial transpose and its corresponding entanglement measure, the logarithmic negativity. Recently, the notion of p…
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…
Entanglement spectra of critical and near-critical systems in one dimension
Frank Pollmann, Joel E. Moore
The entanglement spectrum of a pure state of a bipartite system is the full set of eigenvalues of the reduced density matrix obtained from tracing out one part. Such spectra are kn…