27 citations · 97 across the 17 of their papers we have counts for
20 papers
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…
Noise-resilient sequential circuits for generating quantum order
Konstantin Gattinger, Julian Boesl, Max McGinley +2
Sequential circuits provide an optimal linear-depth route to unitarily preparing long-range ordered quantum states, but circuit-level noise can be far more damaging than noise appl…
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…
Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor
Anna Dalmasso, Arash Jafarizadeh, Julian Boesl +8
Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid…
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…
Skeleton of isometric Tensor Network States for Abelian String-Net Models
Julian Boesl, Yu-Jie Liu, Frank Pollmann +1
We construct parametrized isometric tensor network states -- referred to as skeletons -- that allow us to explore phases of abelian topological order and can be efficiently impleme…
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…
Digital quantum magnetism on a trapped-ion quantum computer
Reza Haghshenas, Eli Chertkov, Michael Mills +56
Digital quantum matter -- realized when discrete quantum gates approximate continuous time evolution -- is susceptible to heating into chaotic, structureless states. If digitizatio…
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…
Information-theoretic principle of emergent 1-form symmetries
Yu-Jie Liu, Wen-Tao Xu, Frank Pollmann +1
Higher-form symmetries act on sub-dimensional spatial manifolds of a quantum system. They can emerge as an exact symmetry at low energies even when they are explicitly broken at th…
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…
Probing non-equilibrium topological order on a quantum processor
M. Will, T. A. Cochran, E. Rosenberg +6
Out-of-equilibrium phases in many-body systems constitute a new paradigm in quantum matter - they exhibit dynamical properties that may otherwise be forbidden by equilibrium thermo…
Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
Tyler A. Cochran, Bernhard Jobst, Eliott Rosenberg +189
Lattice gauge theories (LGTs) can be employed to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-…
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…