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The eigenstate entanglement entropy has been recently shown to be a powerful tool to distinguish integrable from generic quantum-chaotic models. In integrable models, a unique feature of the average eigenstate entanglement entropy (over all…

Statistical Mechanics · Physics 2020-11-05 Patrycja Łydżba , Marcos Rigol , Lev Vidmar

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired…

Statistical Mechanics · Physics 2024-01-10 Qicheng Tang , Zixia Wei , Yin Tang , Xueda Wen , W. Zhu

Entanglement entropy is a powerful tool in characterizing universal features in quantum many-body systems. In quantum chaotic Hermitian systems, typical eigenstates have near maximal entanglement with very small fluctuations. Here, we show…

Statistical Mechanics · Physics 2023-01-16 Giorgio Cipolloni , Jonah Kudler-Flam

Despite its fully unitary dynamics, the bosonic Kitaev chain (BKC) displays key hallmarks of non-Hermitian physics including non-reciprocal transport and the non-Hermitian skin effect. Here we demonstrate another remarkable phenomena: the…

Quantum Physics · Physics 2024-02-01 Gideon Lee , Tony Jin , Yu-Xin Wang , Alexander McDonald , Aashish Clerk

In this work, we analyze the nonsymmorphic symmetry group structures for a variety of generalized Kitaev spin chains and ladders with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor…

Strongly Correlated Electrons · Physics 2022-08-24 Wang Yang , Alberto Nocera , Paul Herringer , Robert Raussendorf , Ian Affleck

We study the topological phase transitions of a Kitaev chain in the presence of geometric frustration caused by the addition of a single long-range hopping. The latter condition defines a legged-ring geometry (Kitaev tie) lacking of…

Superconductivity · Physics 2022-02-15 Alfonso Maiellaro , Francesco Romeo , Roberta Citro

An atom-waveguide system, which presents one of the quantum interfaces that enable strong couplings between light and atoms, can support tightly-confined guided modes of light. In this distinctive quantum interface, we theoretically…

Quantum Physics · Physics 2021-05-18 H. H. Jen , J. -S. You

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of…

Strongly Correlated Electrons · Physics 2022-02-16 Weitao Chen , Liangtao Peng , Hantao Lu , Xiancong Lu

Graphs are topological spaces that include broader objects than discretized manifolds, making them interesting playgrounds for the study of quantum phases not realized by symmetry breaking. In particular they are known to support anyons of…

Strongly Correlated Electrons · Physics 2021-10-18 Pramod Padmanabhan , Fumihiko Sugino

We investigate emergent topological gapless phases in the square-lattice Kitaev model with additional hopping terms. In the presence of nearest-neighbor hopping only, the model is known to exhibit gapless phases with two topological gapless…

Strongly Correlated Electrons · Physics 2023-11-21 Jihyeon Park , Gun Sang Jeon

In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum…

High Energy Physics - Theory · Physics 2018-06-26 Chaoyi Chen , Ling-Yan Hung , Yingcheng Li , Yidun Wan

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We find that the topological phase transition in a chiral ladder is characterized by dramatic signatures in many body entanglement entropy between the legs, close to half-filling. The value of entanglement entropy for various fillings close…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Ritu Nehra , Devendra Singh Bhakuni , Suhas Gangadharaiah , Auditya Sharma

In a quantum many-body system that possesses an additive conserved quantity, the entanglement entropy of a subsystem can be resolved into a sum of contributions from different sectors of the subsystem's reduced density matrix, each sector…

Statistical Mechanics · Physics 2020-03-26 Shachar Fraenkel , Moshe Goldstein

Laughlin states have recently been constructed on fractal lattices, and the charge and braiding statistics of the quasiholes were used to confirm that these states have Laughlin type topology. Here, we investigate density, correlation, and…

Strongly Correlated Electrons · Physics 2022-03-01 Xikun Li , Mani Chandra Jha , Anne E. B. Nielsen

We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state $\ket{0}^{\otimes n}$, we find that the…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

High Energy Physics - Theory · Physics 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

Quantum Physics · Physics 2021-11-02 Shachar Fraenkel , Moshe Goldstein

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Karyn Le Hur

Recently, tight-binding models on hyperbolic lattices (discretized AdS space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states. In this paper, we investigate these quantum systems from the…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Xiang-You Huang , Yao Zhou , Peng Ye