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Related papers: Ghost-spin chains, entanglement and $bc$-ghost CFT…

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Entanglement is an essential property of quantum many-body systems. However, its local detection is challenging and was so far limited to spin degrees of freedom in ion chains. Here we measure entanglement between the spins of atoms located…

We review several aspects of Many-Body Localization-like properties exhibited by the disordered XY chains: localization properties of the energy eigenstates and thermal states, propagation bounds of Lieb-Robinson type, decay of correlation…

Mathematical Physics · Physics 2018-02-23 Houssam Abdul-Rahman , Bruno Nachtergaele , Robert Sims , Günter Stolz

In quantum systems with many degrees of freedom the replica method is a useful tool to study the entanglement of arbitrary spatial regions. We apply it in a way which allows them to back-react. As a consequence, they become dynamical…

High Energy Physics - Theory · Physics 2011-02-02 Ferdinando Gliozzi

We investigate, in any spacetime dimension >=3, the problem of consistent couplings for a finite collection of massless, spin-2 fields described, in the free limit, by a sum of Pauli-Fierz actions. We show that there is no consistent…

High Energy Physics - Theory · Physics 2009-10-31 Nicolas Boulanger , Thibault Damour , Leonardo Gualtieri , Marc Henneaux

It is shown that transient spin-spin correlations in one-dimensional spin S>>1 chain can be enhanced for initially factorized and individually squeezed spin states. Such correlation transfer form "internal" to "external" degrees of freedom…

Quantum Physics · Physics 2016-11-02 I. F. Valtierra , J. L. Romero , A. B. Klimov

We investigate the swampland distance conjecture in higher-spin gravity. To this end, we study multicritical generalizations of large-$N$ vector models, bosonic and fermionic, and we compute the quantum information distance along selected…

High Energy Physics - Theory · Physics 2023-04-05 Ivano Basile , Andrea Campoleoni , Simon Pekar , Evgeny Skvortsov

We discuss spin-$S$ antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that there exist parameter regions of the exact dimerized ground…

Strongly Correlated Electrons · Physics 2014-01-30 Zheng-Yuan Wang , Shunsuke C. Furuya , Masaaki Nakamura , Ryo Komakura

We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational…

Disordered Systems and Neural Networks · Physics 2016-06-22 Ilia Khait , Snir Gazit , Norman Y. Yao , Assa Auerbach

We consider the $M$-neighbor approximation in the problem of one-qubit pure state transfer along the $N$-node zigzag and alternating spin chains governed by the $XXZ$-Hamiltonian with the dipole-dipole interaction. We show that always…

Quantum Physics · Physics 2023-02-01 E. B. Fel'dman , A. I. Zenchuk

We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions. Since the Hamiltonians also contain deterministic one-body terms, by varying the interaction strength, one can…

Quantum Physics · Physics 2023-07-20 Paulo Freitas Gomes , Marcel Novaes , Fernando Parisio

We calculate exactly the entanglement content of magnon excited states in the integrable spin-1/2 XXX and XXZ chains in the scaling limit. In particular, we show that as far as the number of excited magnons with respect to the size of the…

Statistical Mechanics · Physics 2022-02-16 Jiaju Zhang , M. A. Rajabpour

Integrable models support elementary excitations with infinite lifetimes. In the spin-1/2 Heisenberg chain these are known as spinons. We consider the stability of spinons when a weak integrability breaking perturbation is added to the…

Strongly Correlated Electrons · Physics 2017-08-09 Stefan Groha , Fabian H. L. Essler

In general bosonic closed string backgrounds the ghost-dilaton is not the only state in the semi-relative BRST cohomology that can change the dimensionless string coupling. This fact is used to establish complete dilaton theorems in closed…

High Energy Physics - Theory · Physics 2009-10-28 Alexander Belopolsky , Barton Zwiebach

For a family of integer-valued height functions defined over the faces of planar graphs, we establish a relation between the probability of connection by level sets and the spin-spin correlations of the dual $O(2)$ symmetric spin models…

Probability · Mathematics 2022-05-30 Michael Aizenman , Matan Harel , Ron Peled , Jacob Shapiro

We study the magnetic properties of two types of one dimensional XX spin 1/2 chains. The first type has only nearest neighbor interactions which can be either antiferromagnetic or ferromagnetic and the second type which has both nearest…

Disordered Systems and Neural Networks · Physics 2009-02-26 C. A. Lamas , D. C. Cabra , M. D. Grynberg , G. L. Rossini

We consider random quantum (tight-binding, XX and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is calculated…

Disordered Systems and Neural Networks · Physics 2010-08-09 Ferenc Iglói , István A. Kovács

We present an integrability-preserving recursion relation for the explicit construction of long-range spin chain Hamiltonians. These chains are generalizations of the Haldane-Shastry and Inozemtsev models and they play an important role in…

High Energy Physics - Theory · Physics 2012-08-28 Till Bargheer , Niklas Beisert , Florian Loebbert

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

We investigate the cosmology of interacting spin-2 particles, formulating the multi-gravitational theory in terms of vierbeins and without imposing any Deser-van Nieuwenhuizen-like constraint. The resulting multi-vierbein theory represents…

High Energy Physics - Theory · Physics 2014-02-21 Nicola Tamanini , Emmanuel N. Saridakis , Tomi S. Koivisto

In this paper we discuss the criticality of a quantum Ising spin chain with competing random ferromagnetic and antiferromagnetic couplings. Quantum fluctuations are introduced via random local transverse fields. First we consider the chain…

Disordered Systems and Neural Networks · Physics 2009-11-11 David Carpentier , Pierre Pujol , Kay-Uwe Giering