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We study Renyi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L=4 mod…

Strongly Correlated Electrons · Physics 2014-10-06 Pasquale Calabrese , Fabian H. L. Essler , Andreas M. Lauchli

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

Quantum Physics · Physics 2007-10-04 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

In this paper we complete the study on the asymptotic behaviour of the entanglement entropy for Kitaev chains with long range pairing. We discover that when the couplings decay with the distance with a critical exponent new properties for…

Quantum Physics · Physics 2018-06-06 F. Ares , J. G. Esteve , F. Falceto , A. R. de Queiroz

We study the entanglement of two disjoint blocks in spin-1/2 chains obtained by merging solvable models, such as XX and quantum Ising models. We focus on the universal quantities that can be extracted from the R\'enyi entropies S_\alpha.…

Statistical Mechanics · Physics 2012-01-05 Maurizio Fagotti

We consider Lifshitz criticalities with dynamical exponent $z=2$ that emerge in a class of topological chains. There, such a criticality plays a fundamental role in describing transitions between symmetry-enriched conformal field theories…

Statistical Mechanics · Physics 2022-04-26 Ke Wang , T. A. Sedrakyan

Frustration-free (FF) spin chains have a property that their ground state minimizes all individual terms in the chain Hamiltonian. We ask how entangled the ground state of a FF quantum spin-s chain with nearest-neighbor interactions can be…

Quantum Physics · Physics 2013-05-30 Sergey Bravyi , Libor Caha , Ramis Movassagh , Daniel Nagaj , Peter Shor

We study the von Neumann and R\'enyi bipartite entanglement entropies in the thermodynamic limit of many-body quantum states with spin-s sites, that possess full symmetry under exchange of sites. It turns out that there is essentially a…

Mathematical Physics · Physics 2015-06-11 Olalla A. Castro-Alvaredo , Benjamin Doyon

We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between…

Mathematical Physics · Physics 2011-09-28 Taku Matsui

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales…

Quantum Physics · Physics 2009-11-13 A. Saguia , M. S. Sarandy , B. Boechat , M. A. Continentino

Entanglement spectra (ES) for the critical SU(N) (2 <= N <= 4) spin chains and other integrable models of finite length are studied with the density matrix renormalization group method. For all models under investigation, the level spacings…

Strongly Correlated Electrons · Physics 2016-11-09 Panjin Kim , Hosho Katsura , Nandini Trivedi , Jung Hoon Han

Entanglement asymmetry is a quantity recently introduced to measure how much a symmetry is broken in a part of an extended quantum system. It has been employed to analyze the non-equilibrium dynamics of a broken symmetry after a global…

Statistical Mechanics · Physics 2024-01-23 Sara Murciano , Filiberto Ares , Israel Klich , Pasquale Calabrese

The XX spin-chain with non-Hermitian diagonal boundary conditions is shown to be quasi-Hermitian for special values of the boundary parameters. This is proved by explicit construction of a new inner product employing a "quasi-fermion"…

Mathematical Physics · Physics 2012-07-20 Christian Korff

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,…

Statistical Mechanics · Physics 2015-07-09 Viktor Eisler , Ming-Chiang Chung , Ingo Peschel

We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings…

Statistical Mechanics · Physics 2022-06-22 Filiberto Ares , Sara Murciano , Pasquale Calabrese

Solid-state spin arrays are being engineered in varied systems, including gated coupled quantum dots and interacting dopants in semiconductor structures. Beyond quantum computation, these arrays are useful integrated analog simulators for…

Strongly Correlated Electrons · Physics 2017-01-17 Leonardo Banchi , Abolfazl Bayat , Sougato Bose

We study the average entanglement entropy of blocks of contiguous spins in aperiodic XXZ chains which possess an aperiodic singlet phase at least in a certain limit of the coupling ratios. In this phase, where the ground state constructed…

Statistical Mechanics · Physics 2015-06-25 Róbert Juhász , Zoltán Zimborás

Since the realization of quantum systems described by non-Hermitian Hamiltonians with parity-time (PT) symmetry, interest in non-Hermitian, quantum many-body models has steadily grown. Most studies to-date map to traditional quantum spin…

Quantum Physics · Physics 2023-12-07 Jacob Muldoon , Yogesh N. Joglekar

Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically understand the…

Strongly Correlated Electrons · Physics 2021-11-17 Pengfei Zhang , Shao-Kai Jian , Chunxiao Liu , Xiao Chen

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

Strongly Correlated Electrons · Physics 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo
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