69 citations · 131 across the 15 of their papers we have counts for
16 papers
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 Pattern Transition of Quantum States from Directed Percolation
Julian Boesl, Frank Pollmann, Michael Knap
Changes in the entanglement structure and critical phenomena are hallmarks of quantum phase transitions. Here, we discuss how they appear in transitions between classes of states w…
Dynamical preparation of U(1) quantum spin liquids in an analogue quantum simulator
Simon Karch, Melissa Will, Irene Prieto Rodriguez +7
Locally constrained gauge theories underpin our understanding of fundamental interactions in particle physics and the emergent behaviour of quantum materials. In strongly correlate…
A Framework for Predicting Entanglement Spectra of Gapless Symmetry-Protected Topological States in One Dimension
Wen-Tao Xu, Frank Pollmann, Michael Knap
The concept of gapped symmetry-protected topological (SPT) states has been generalized to gapless SPT (gSPT) states. Similar to gapped SPT states, gSPT states in one dimension exhi…
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…
Dynamics in the presence of local symmetry-breaking impurities
Yahui Li, Pablo Sala, Frank Pollmann +2
Continuous symmetries lead to universal slow relaxation of correlation functions in quantum many-body systems. In this work, we study how local symmetry-breaking impurities affect…
Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
Caterina Zerba, Alexander Seidel, Frank Pollmann +1
The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we est…
Highly entangled stationary states from strong symmetries
Yahui Li, Frank Pollmann, Nicholas Read +1
We find that the presence of strong non-Abelian conserved quantities can lead to highly entangled stationary states even for unital quantum channels. We derive exact expressions fo…
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…