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Related papers: Universal entanglement spectra in critical spin ch…

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We compute critical properties of a general class of quantum spin chains which are quadratic in the Fermi operators and can be solved exactly under certain symmetry constraints related to the classical compact groups $U(N)$, $O(N)$ and…

Statistical Mechanics · Physics 2015-09-30 J. Hutchinson , J. P. Keating , F. Mezzadri

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

Quantum Physics · Physics 2022-05-26 Ananda Roy , Hubert Saleur

We study dimerization transitions in a frustrated spin-3 chain with next-nearest neighbor and three-site interactions. We show that two independent coupling constants of the model are sufficient to fine-tune the system to the critical point…

Strongly Correlated Electrons · Physics 2024-06-04 Natalia Chepiga

This article reports a measurement of the low-energy excitation spectrum along the critical line for a quantum spin chain having a local interaction between three Ising spins and longitudinal and transverse magnetic fields. The measured…

Statistical Mechanics · Physics 2013-05-29 John F. McCabe , Tomasz Wydro

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

Statistical Mechanics · Physics 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory.…

Quantum Physics · Physics 2009-11-11 R. Orus , J. I. Latorre , J. Eisert , M. Cramer

Junctions of one-dimensional systems are of great interest to the development of synthetic materials that harbor topological phases. We study a junction of three gapless spin-1 chains described by the $\mathrm{SU(2)}_{2}$…

Strongly Correlated Electrons · Physics 2022-08-29 Hernan B. Xavier , Rodrigo G. Pereira

We analyze the entanglement properties of spins (qubits) close to the boundary of spin chains in the vicinity of a quantum critical point and show that the concurrence at the boundary is significantly different from the one of bulk spins.…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 T. Stauber , F. Guinea

A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a consequence, situations with or without…

Condensed Matter · Physics 2009-11-10 R. Serral Gracia , Th. M. Nieuwenhuizen

Entanglement entropy and entanglement spectrum have been widely used to characterize quantum entanglement in extended many-body systems. Given a pure state of the system and a division into regions $A$ and $B$, they can be obtained in terms…

Quantum Physics · Physics 2020-10-23 Qi Hu , Adrian Franco-Rubio , Guifre Vidal

We investigate the role of the spectral dimension $d_s$ in determining the universality of phase transitions on a complex network. Due to its structural heterogeneity, a complex network generally acts as a disordered system. Specifically,…

Statistical Mechanics · Physics 2024-07-30 Mrinal Sarkar , Tilman Enss , Nicolò Defenu

Spin-orbital entanglement in quantum spin-orbital systems is quantified by a reduced von Neumann entropy, and is calculated for the ground state of a coupled spin-orbital chain with $SU(2)\times SU(2)$ symmetry. By analyzing the…

Strongly Correlated Electrons · Physics 2009-11-11 Yan Chen , Z. D. Wang , Y. Q. Li , F. C. Zhang

We identify universal properties of the low-energy subspace of a wide class of quantum optical models in the ultrastrong coupling limit, where the coupling strength dominates over all other energy scales in the system. We show that the…

Quantum Physics · Physics 2020-02-05 Simone Felicetti , Alexandre Le Boité

In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system.…

Statistical Mechanics · Physics 2013-05-29 H. Francis Song , Stephan Rachel , Karyn Le Hur

Inhomogeneous quantum critical systems in one spatial dimension have been studied by using conformal field theory in static curved backgrounds. Two interesting examples are the free fermion gas in the harmonic trap and the inhomogeneous XX…

Statistical Mechanics · Physics 2019-02-18 Erik Tonni , Javier Rodríguez-Laguna , Germán Sierra

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We point out that the existence of global symmetries in a field theory is not an essential ingredient in its relation with an integrable model. We describe an obvious construction which, given an integrable spin chain, yields a field theory…

High Energy Physics - Theory · Physics 2008-11-26 Radu Roiban

We study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

Disordered Systems and Neural Networks · Physics 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains and two-leg ladders displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo…

Quantum Physics · Physics 2007-05-23 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

Using the geometric entanglement measure, we study the scaling of multipartite entanglement in several 1D models at criticality, specifically the linear harmonic chain and the XY spin chain encompassing both the Ising and XX critical…

Quantum Physics · Physics 2007-10-01 Alonso Botero , Benni Reznik