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For a class of Friedmann-Robertson-Walker type string solutions with compact hyperbolic spatial slices formulated in critical dimension, we find the world sheet conformal field theory which involves the linear dilaton and Wess-Zumino-Witten…

高能物理 - 理论 · 物理学 2008-11-26 Dimitri V. Nanopoulos , Dan Xie

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

统计力学 · 物理学 2022-08-17 Jamir Marino

Motzkin spin-chains, which include 'colorless' (integer spin $s=1$) and 'colorful' ($s \geq 2$) variants, are one-dimensional (1D) local integer spin models notable for their lack of a conformal field theory (CFT) description of their…

量子物理 · 物理学 2024-08-30 Varun Menon , Andi Gu , Ramis Movassagh

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…

量子物理 · 物理学 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

Bipartite entanglement in the ground state of a chain of $N$ quantum spins can be quantified either by computing pairwise concurrence or by dividing the chain into two complementary subsystems. In the latter case the smaller subsystem is…

量子物理 · 物理学 2007-12-04 J. P. Keating , F. Mezzadri , M. Novaes

Spin models are used in many studies of complex systems---be it condensed matter physics, neural networks, or economics---as they exhibit rich macroscopic behaviour despite their microscopic simplicity. Here we prove that all the physics of…

统计力学 · 物理学 2016-06-15 Gemma De las Cuevas , Toby S. Cubitt

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of this letter is to gain a deeper understanding of the…

统计力学 · 物理学 2018-07-25 J. C. Xavier , F. C. Alcaraz , G. Sierra

We study the critical properties of the $3d$ $O(2)$ universality class in bounded domains through Monte Carlo simulations of the clock model. We use an improved version of the latter, chosen to minimize finite-size corrections at…

高能物理 - 格点 · 物理学 2021-10-25 Alessandro Galvani , Giacomo Gori , Andrea Trombettoni

We numerically investigate the low-lying entanglement spectrum of the ground state of random one-dimensional spin chains obtained after partition of the chain into two equal halves. We consider two paradigmatic models: the spin-1/2 random…

量子气体 · 物理学 2018-09-05 Giacomo Torlai , Kenneth D. McAlpine , Gabriele De Chiara

The entanglement spectra for a subsystem in a spin chain fine-tuned to a quantum-critical point contains signatures of the underlying quantum field theory that governs its low-energy properties. For an open chain with given boundary…

量子物理 · 物理学 2025-09-26 Ananda Roy , Sergei L. Lukyanov , Hubert Saleur

Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log_2 L with a universal coefficient. Since for pure quantum critical spin chains this…

无序系统与神经网络 · 物理学 2009-11-13 Gil Refael , Joel E. Moore

We study the ground-state phase diagram of a spin-1 Heisenberg chain with staggered long-range (LR) interactions decaying as $\propto r^{-\alpha}$ using a quantum Monte Carlo approach based on the split-spin representation. This formulation…

强关联电子 · 物理学 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-hermitian `Hamiltonian' and show, using mostly analytical techniques, that it is described at low energies by the SL(2,R)/U(1) Euclidian…

高能物理 - 理论 · 物理学 2015-05-30 Yacine Ikhlef , Jesper Lykke Jacobsen , Hubert Saleur

We consider a class of ground states for quantum spin chains on an integer lattice. First we show that presence of the spectral gap between the ground state energy and the rest of spectrum implies the split property of certain subsystems.As…

数学物理 · 物理学 2008-08-12 Taku Matsui

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models. Their entangled groundstates are known exactly but not their excitation spectra. We first express the groundstates in the continuum which allows for…

强关联电子 · 物理学 2017-10-25 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

Spin-orbital entanglement in the ground state of a one-dimensional SU(2)$\otimes$SU(2) spin-orbital model is analyzed using exact diagonalization of finite chains. For $S=1/2$ spins and $T=1/2$ pseudospins one finds that the quantum…

强关联电子 · 物理学 2007-06-19 Andrzej M. Oles , Peter Horsch , Giniyat Khaliullin

We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected…

强关联电子 · 物理学 2015-09-29 Ronny Thomale , Stephan Rachel , B. Andrei Bernevig , Daniel P. Arovas

Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin transport properties. Upon adjusting parameters of local…

统计力学 · 物理学 2025-05-21 Lenart Zadnik , Marko Ljubotina , Žiga Krajnik , Enej Ilievski , Tomaž Prosen

The entanglement spectrum, i.e., the full distribution of Schmidt eigenvalues of the reduced density matrix, contains more information than the conventional entanglement entropy and has been studied recently in several many-particle…

强关联电子 · 物理学 2011-02-02 Maurizio Fagotti , Pasquale Calabrese , Joel E. Moore