Yidun Wan
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View article: A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation in SymTO
A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation in SymTO Open
In this paper, we introduce a "\textbf{CFT factory}" -- a novel algorithm of methodically generating 2D lattice models that would flow to conformal field theories (CFTs) in the infrared. We realise these models by engineering the boundary …
View article: Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization
Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Open
We present a systematic framework for constructing exactly-solvable lattice models of symmetry-enriched topological (SET) phases based on an enlarged version of the string-net model. We also gauge the global symmetries of our SET models to…
View article: Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries
Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries Open
In this paper, we apply the method of Fourier transform and basis rewriting developed in [H. Wang et al., J. High Energy Phys. 02, 030 (2020)] for the two-dimensional quantum double model of topological orders to the three-dimensional gaug…
View article: Towards Stochastic Inflation in Higher-Curvature Gravity
Towards Stochastic Inflation in Higher-Curvature Gravity Open
We study stochastic inflation in the presence of higher-curvature terms non-minimally coupled to the inflaton. Focusing on quadratic curvature invariants, we single out the Gauss--Bonnet term which is known to avoid ghosts, while having no…
View article: Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization
Classification of gapped domain walls of topological orders in 2+1 dimensions: a Levin-Wen model realization Open
A bstract This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by …
View article: A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT
A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT Open
In this paper, we introduce a ``CFT factory'' : a novel algorithm of methodically generating 2D lattice models that would flow to 2D conformal fixed points in the infrared. These 2D models are realised by giving critical boundary condition…
View article: Landau-Ginzburg Paradigm of Topological Phases
Landau-Ginzburg Paradigm of Topological Phases Open
Topologically ordered matter phases have been regarded as beyond the Landau-Ginzburg symmetry breaking paradigm of matter phases. Recent studies of anyon condensation in topological phases, however, may fit topological phases back in the L…
View article: Nonabelian anyon condensation in 2+1d topological orders: A string-net model realization
Nonabelian anyon condensation in 2+1d topological orders: A string-net model realization Open
A bstract We develop a comprehensive framework for realizing anyon condensation of topological orders within the string-net model by constructing a Hamiltonian that bridges the parent string-net model before and the child string-net model …
View article: Classification of Gapped Domain Walls of Topological Orders in 2+1 dimensions: A Levin-Wen Model Realization
Classification of Gapped Domain Walls of Topological Orders in 2+1 dimensions: A Levin-Wen Model Realization Open
This paper introduces a novel systematic construction of gapped domain walls (GDWs) within the Levin-Wen (LW) model. By gluing two LW models along their open sides in a compatible way, we achieve a complete GDW classification by subsets of…
View article: Meso-inflationary Peccei–Quinn Symmetry Breaking with Nonminimal Coupling
Meso-inflationary Peccei–Quinn Symmetry Breaking with Nonminimal Coupling Open
We study a realization of the inflationary scenario where the Peccei–Quinn (PQ) symmetry is spontaneously broken during inflation, facilitated by its nonminimal coupling to gravity. This results in, effectively, a two-field inflation: the …
View article: Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization
Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization Open
We develop a comprehensive framework for realizing anyon condensation of topological orders within the string-net model by constructing a Hamiltonian that bridges the parent string-net model before and the child string-net model after anyo…
View article: Noninvertible Gauge Symmetry in (2+1)d Topological Orders: A String-Net Model Realization
Noninvertible Gauge Symmetry in (2+1)d Topological Orders: A String-Net Model Realization Open
We develop a systematic framework for understanding symmetries in topological phases in 2+1 dimensions using the string-net model, encompassing both gauge symmetries that preserve anyon species and global symmetries permuting anyon species…
View article: Meso-inflationary Peccei-Quinn symmetry breaking with non-minimal coupling
Meso-inflationary Peccei-Quinn symmetry breaking with non-minimal coupling Open
We study a realization of the inflationary scenario where the Peccei-Quinn (PQ) symmetry is spontaneously broken during inflation, facilitated by its non-minimal coupling to gravity. This results in effectively two-field inflation: the ear…
View article: Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae
Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae Open
A bstract We investigate the composite systems consisting of topological orders separated by gapped domain walls. We derive a pair of domain-wall Verlinde formulae, that elucidate the connection between the braiding of interdomain excitati…
View article: Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
Effective dynamics of quantum fluctuations in field theory: with applications to cosmology Open
A bstract We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely circumvents the use of operator/Hilbert-space formalism, instead relying on a system…
View article: Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
Effective dynamics of quantum fluctuations in field theory: with applications to cosmology Open
We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely circumvents the use of operator/Hilbert-space formalism, instead relying on a systematic treat…
View article: Characteristic properties of a composite system of topological phases separated by gapped domain walls via an exactly solvable Hamiltonian model
Characteristic properties of a composite system of topological phases separated by gapped domain walls via an exactly solvable Hamiltonian model Open
In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls. There are interdomain elementary exci…
View article: Report on 2209.12750v2
Report on 2209.12750v2 Open
In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls.There are interdomain elementary excit…
View article: Report on 2209.12750v2
Report on 2209.12750v2 Open
In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls.There are interdomain elementary excit…
View article: Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons
Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons Open
Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local dist…
View article: Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries
Fourier-transformed gauge theory models of three-dimensional topological orders with gapped boundaries Open
In this paper, we apply the method of Fourier transform and basis rewriting developed in arXiv:1910.13441 for the two-dimensional quantum double model of topological orders to the three-dimensional gauge theory model (with a gauge group $G…
View article: Report on scipost_202302_00013v1
Report on scipost_202302_00013v1 Open
In this paper, we construct an exactly solvable lattice Hamiltonian model of two topological phases separated by a gapped domain wall via anyon condensation.To be specific, we study the properties of this model in the case of the doubled I…
View article: Symmetry Fractionalized (Irrationalized) Fusion Rules and Two Domain-Wall Verlinde Formulae
Symmetry Fractionalized (Irrationalized) Fusion Rules and Two Domain-Wall Verlinde Formulae Open
We investigate the composite systems consisting of topological orders separated by gapped domain walls. We derive a pair of domain-wall Verlinde formulae, that elucidate the connection between the braiding of interdomain excitations labele…
View article: Experimental realization of a topologically protected Hadamard gate via braiding Fibonacci anyons
Experimental realization of a topologically protected Hadamard gate via braiding Fibonacci anyons Open
Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local dist…
View article: Characteristic Properties of a Composite System of Topological Phases Separated by Gapped Domain Walls via an Exactly Solvable Hamiltonian Model
Characteristic Properties of a Composite System of Topological Phases Separated by Gapped Domain Walls via an Exactly Solvable Hamiltonian Model Open
In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls. There are interdomain elementary exci…
View article: Extend the Levin-Wen model to two-dimensional topological orders with gapped boundary junctions
Extend the Levin-Wen model to two-dimensional topological orders with gapped boundary junctions Open
A bstract A realistic material may possess defects, which often bring the material new properties that have practical applications. The boundary defects of a two-dimensional topologically ordered system are thought of as an alternative way…
View article: A saddle-point finder and its application to the spin foam model
A saddle-point finder and its application to the spin foam model Open
We introduce a saddle-point finder that can find the complex saddle points for any analytically continued action. We showcase our saddle-point finder by two examples in the EPRL spin foam model: the single vertex case and the case of trian…
View article: Anyon condensation: coherent states, symmetry enriched topological phases, Goldstone theorem, and dynamical rearrangement of symmetry
Anyon condensation: coherent states, symmetry enriched topological phases, Goldstone theorem, and dynamical rearrangement of symmetry Open
A bstract Although the mathematics of anyon condensation in topological phases has been studied intensively in recent years, a proof of its physical existence is tantamount to constructing an effective Hamiltonian theory. In this paper, we…
View article: Dynamical-invariant-based holonomic quantum gates: Theory and experiment
Dynamical-invariant-based holonomic quantum gates: Theory and experiment Open
Among existing approaches to holonomic quantum computing, the adiabatic holonomic quantum gates (HQGs) suffer errors due to decoherence, while the non-adiabatic HQGs either require additional Hilbert spaces or are difficult to scale. Here,…
View article: Spinfoam on a Lefschetz thimble: Markov chain Monte Carlo computation of a Lorentzian spinfoam propagator
Spinfoam on a Lefschetz thimble: Markov chain Monte Carlo computation of a Lorentzian spinfoam propagator Open
We compute numerically the Lorentzian Engle-Pereira-Rovelli-Livine (EPRL)\nspinfoam propagator on a 4-simplex, by adapting the methods of Lefschetz\nthimble and Markov Chain Monte-Carlo to oscillatory spinfoam integrals. Our\nmethod can co…