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Related papers: Fusion of Low-Entanglement Excitations in 2D Toric…

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Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this…

We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger…

Strongly Correlated Electrons · Physics 2023-05-10 Meng Cheng , Po-Shen Hsin , Chao-Ming Jian

In this paper the geometric entanglement (GE) of systems in one spatial dimension (1D) and in the thermodynamic limit is analyzed focusing on two aspects. First, we reexamine the calculation of the GE for translation-invariant matrix…

Strongly Correlated Electrons · Physics 2011-08-10 Roman Orus , Tzu-Chieh Wei

(2+1) dimensional topological quantum field theories with defect excitations are by now quite well understood, while many questions are still open for (3+1) dimensional TQFTs. Here we propose a strategy to lift states and operators of a…

High Energy Physics - Theory · Physics 2017-07-27 Clement Delcamp , Bianca Dittrich

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

We report the structural, vibrational and electrical transport properties up to 16 GPa of the 1T-TiTe2, a prominent layered 2D system, which is predicted to show a series of topologically trivial - nontrivial transitions under hydrostatic…

We present a holographic set up that computes timelike Entanglement Entropy (tEE) in $ (0+1) $d QFTs preserving some amount of SUSY. The first example we consider is that of $\mathcal{N}=2$ matrix models with massive deformations. These are…

High Energy Physics - Theory · Physics 2025-06-06 Dibakar Roychowdhury

The energy spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime interacting with an optically injected valence band hole is studied as a function of the filling factor $\nu$ and the separation $d$ between…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn

Excitations in (3+1)D topologically ordered phases have very rich structures. (3+1)D topological phases support both point-like and string-like excitations, and in particular the loop (closed string) excitations may admit knotted and linked…

Strongly Correlated Electrons · Physics 2018-03-06 Xueda Wen , Huan He , Apoorv Tiwari , Yunqin Zheng , Peng Ye

Topological phases are unique states of matter incorporating long-range quantum entanglement, hosting exotic excitations with fractional quantum statistics. We report a practical method to identify topological phases in arbitrary realistic…

Strongly Correlated Electrons · Physics 2012-12-04 Hong-Chen Jiang , Zhenghan Wang , Leon Balents

The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of few atomically thick layers and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced…

Strongly Correlated Electrons · Physics 2024-06-04 E. V. Gorbar , V. P. Gusynin , M. R. Parymuda

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a…

High Energy Physics - Theory · Physics 2023-01-18 Luca Capizzi , Olalla A. Castro-Alvaredo , Cecilia De Fazio , Michele Mazzoni , Lucía Santamaría-Sanz

We demonstrate that two toric code layers on the square lattice coupled by an Ising interaction display two distinct phases with intrinsic topological order. The second-order quantum phase transition between the weakly-coupled…

Strongly Correlated Electrons · Physics 2021-01-04 R. Wiedmann , L. Lenke , M. R. Walther , M. Mühlhauser , K. P. Schmidt

Lattice defects such as stacking faults may obscure electronic topological features of real materials. In fact, defects are a source of disorder that can enhance the density of states and conductivity of the bulk of the system and they…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Gabriele Naselli , Viktor Könye , Sanjib Kumar Das , G. G. N. Angilella , Anna Isaeva , Jeroen van den Brink , Cosma Fulga

We use the entanglement negativity, a bipartite measure of entanglement in mixed quantum states, to study how multipartite entanglement constrains the real-space structure of the ground state wavefunctions of $(2+1)$-dimensional topological…

Strongly Correlated Electrons · Physics 2021-10-04 Pak Kau Lim , Hamed Asasi , Jeffrey C. Y. Teo , Michael Mulligan

We investigate the time evolution of odd entanglement entropy (OEE) and logarithmic negativity (LN) for the thermofield double (TFD) states in free scalar quantum field theories using the covariance matrix approach. To have mixed states, we…

High Energy Physics - Theory · Physics 2021-11-03 Mostafa Ghasemi , Ali Naseh , Reza Pirmoradian

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

High Energy Physics - Theory · Physics 2022-01-19 Bom Soo Kim

Based on a microscopic evaluation of the local current density, a treatment of edge magnetoplasmons (EMP) is presented for confining potentials that allow Landau level (LL) flattening to be neglected. Mode damping due to electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 O. G. Balev , P. Vasilopoulos

The low-energy effective quantum field theory of the edge excitations of a fully-gapped bulk topological phase corresponding to a local interaction Hamiltonian must be local and unitary. Here it is shown that whenever all the edge…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 N. Read

We present low-energy electron diffraction (LEED) as elastic electron-atom scattering (EEAS) operating in a target crystal waveguide where a Coulombic carrier wave is wavenumber modulated by exchange-correlation (XC) interaction. Carrier…

Materials Science · Physics 2021-06-10 John Rundgren , Bo E. Sernelius , Wolfgang Moritz