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相关论文: Symmetry-resolved entanglement in a long-range fre…

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The study of entanglement in the symmetry sectors of a theory has recently attracted a lot of attention since it provides better understanding of some aspects of quantum many-body systems. In this paper, we extend this analysis to the case…

统计力学 · 物理学 2023-06-01 Michele Fossati , Filiberto Ares , Pasquale Calabrese

We study the symmetry resolved entanglement entropies in one-dimensional systems with boundaries. We provide some general results for conformal invariant theories and then move to a semi-infinite chain of free fermions. We consider both an…

统计力学 · 物理学 2021-09-30 Riccarda Bonsignori , Pasquale Calabrese

We calculate the ground state entanglement entropy between two heterogeneous parts of a free fermion chain. The two parts could be XX chains with different parameters or an XX half chain connected with a quantum Ising half chain. It is…

统计力学 · 物理学 2018-07-27 Yuchi He

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

量子物理 · 物理学 2022-07-14 Nick G. Jones

The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge…

统计力学 · 物理学 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by…

强关联电子 · 物理学 2017-02-01 Myung-Hoon Chung

We present a detailed study of the fidelity, the entanglement entropy, and the entanglement spectrum, for a dimerized chain of spinless fermions---a simplified Su-Schrieffer-Heeger (SSH) model---with open boundary conditions which is a…

强关联电子 · 物理学 2014-10-22 J. Sirker , M. Maiti , N. P. Konstantinidis , N. Sedlmayr

Topological excitations or defects such as solitons are ubiquitous throughout physics, supporting numerous interesting phenomena like zero energy modes with exotic statistics and fractionalized charges. In this paper, we study such objects…

量子物理 · 物理学 2023-10-11 David X. Horvath , Shachar Fraenkel , Stefano Scopa , Colin Rylands

We consider the symmetry resolved R\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour…

统计力学 · 物理学 2020-01-08 Riccarda Bonsignori , Paola Ruggiero , Pasquale Calabrese

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…

统计力学 · 物理学 2020-03-26 Shachar Fraenkel , Moshe Goldstein

We consider a chain of free electrons with periodically switched dimerization and study the entanglement entropy of a segment with the remainder of the system. We show that it evolves in a stepwise manner towards a value proportional to the…

统计力学 · 物理学 2009-11-13 Viktor Eisler , Ingo Peschel

We study the scaling of ground state entanglement entropy of various free fermionic models on one dimensional lattices, where the hopping and pairing terms decay as a power law. We seek to understand the scaling of entanglement entropy in…

强关联电子 · 物理学 2024-05-27 Debarghya Chakraborty , Nikolaos Angelinos

We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ…

统计力学 · 物理学 2020-03-27 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

We investigate symmetry-resolved entanglement in out-of-equilibrium fermionic systems subject to gain and loss dissipation, which preserves the block-diagonal structure of the reduced density matrix. We derive a hydrodynamic description of…

统计力学 · 物理学 2023-12-07 Sara Murciano , Pasquale Calabrese , Vincenzo Alba

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

数学物理 · 物理学 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

Similarly to the system Hamiltonian, a subsystem's reduced density matrix is composed of blocks characterized by symmetry quantum numbers (charge sectors). We present a geometric approach for extracting the contribution of individual charge…

统计力学 · 物理学 2018-05-17 Moshe Goldstein , Eran Sela

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the…

统计力学 · 物理学 2020-10-20 Viktor Eisler , Giuseppe Di Giulio , Erik Tonni , Ingo Peschel

We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.1004}, for the reduced density of states of two disjoint…

数学物理 · 物理学 2021-04-16 L. Brightmore , G. P. Geher , A. R. Its , V. E. Korepin , F. Mezzadri , M. Y. Mo , J. A. Virtanen

We consider fermionic chains where the two halves are either metals with different bandwidths or a metal and an insulator. Both are coupled together by a special bond. We study the ground-state entanglement entropy between the two pieces,…

统计力学 · 物理学 2015-07-09 Viktor Eisler , Ming-Chiang Chung , Ingo Peschel

In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the R\'enyi entanglement entropy for the ground state of long-range Kitaev chains with slow…

统计力学 · 物理学 2019-11-27 Filiberto Ares , José G. Esteve , Fernando Falceto , Zoltán Zimborás
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