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We investigate the phase diagram and the spin-orbital entanglement of a one-dimensional SU(2)$\otimes XXZ$ model with SU(2) spin exchange and anisotropic $XXZ$ orbital exchange interactions and negative exchange coupling. As a unique…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Long You , Peter Horsch , Andrzej M. Oleś

The entanglement entropy of $\nu=1/2$ and $\nu=9/2$ quantum Hall states in the presence of short range disorder has been calculated by direct diagonalization. Spin polarized electrons are confined to a single Landau level and interact with…

Strongly Correlated Electrons · Physics 2013-02-20 C. Balusek , B. A. Friedman , G. C. Levine , D. Luna

In this manuscript, we study the non-Hermitian spin-1/2 XY model in the presence of the alternating, imaginary and transverse magnetic fields. For the two-site spin system, we solve exactly the energy spectrum and phase diagram, also…

Statistical Mechanics · Physics 2023-04-21 Yue Li , Pan-Pan Zhang , Li-Zhen Hu , Yu-Liang Xu , Xiang-Mu Kong

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

The statistical mechanics characterization of a finite subsystem embedded in an infinite system is a fundamental question of quantum physics. Nevertheless, a full closed form { for all required entropic measures} does not exist in the…

Quantum Physics · Physics 2022-03-23 Eldad Bettelheim , Aditya Banerjee , Martin B. Plenio , Susana F. Huelga

We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the…

Quantum Physics · Physics 2011-07-13 Vladislav Popkov , Mario Salerno , Gunter Schuetz

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

Statistical Mechanics · Physics 2013-01-31 Jana Cisarova , Jozef Strecka

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

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

We study entanglement transitions in a periodically driven Ising chain in the presence of an imaginary transverse field $\gamma$ as a function of drive frequency $\omega_D$. In the high drive amplitude and frequency regime, we find a…

Strongly Correlated Electrons · Physics 2024-07-17 Tista Banerjee , K. Sengupta

Due to the phase interference of electromagnetic wave, one can recover the total image of one object from a small piece of holograph, which records the interference pattern of two laser light reflected from it. Similarly, the quantum…

Quantum Physics · Physics 2014-11-18 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

We consider the von Neumann and R\'enyi entropies of the one dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results…

Strongly Correlated Electrons · Physics 2013-03-27 Fabian H. L. Essler , Andreas M. Läuchli , Pasquale Calabrese

We investigate the entanglement properties of the equilibrium and nonequilibrium quantum dynamics of 2D and 3D Fermi gases, by computing entanglement entropies of extended space regions, which generally show multiplicative logarithmic…

Statistical Mechanics · Physics 2013-03-27 Jacopo Nespolo , Ettore Vicari

We study the momentum space entanglement spectra of bosonic and fermionic formulations of the spin-1/2 XXZ chain with analytical methods and exact diagonalization. We investigate the behavior of the entanglement gaps, present in both…

Strongly Correlated Electrons · Physics 2014-12-23 Rex Lundgren , Jonathan Blair , Martin Greiter , Andreas Läuchli , Gregory A. Fiete , Ronny Thomale

We present details on a physical realization, in a many-body Hamiltonian system, of the abstract probabilistic structure recently exhibited by Gell-Mann, Sato and one of us (C.T.), that the nonadditive entropy $S_q=k [1- Tr…

Statistical Mechanics · Physics 2009-11-13 Filippo Caruso , Constantino Tsallis

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

Strongly Correlated Electrons · Physics 2024-07-30 Hiromi Ebisu

For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to particle fluctuations between subsystems…

Quantum Physics · Physics 2019-08-27 Hatem Barghathi , Emanuel Casiano-Diaz , Adrian Del Maestro

In this study, we explore the ground state phase diagram of the spin-1/2 XX chain model, which features $XZY-YZX$ type three-spin interactions (TSI). This model, while seemingly simple, reveals a rich tapestry of quantum behaviors. Our…

Quantum Physics · Physics 2024-01-24 S. Mahdavifar , F. Khastehdel Fumani , B. Haghdoost , M. R. Soltani

We investigate entanglement and coherence in an $XXZ$ spin-$s$ pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and…

Quantum Physics · Physics 2017-04-26 E. Rios , R. Rossignoli , N. Canosa