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Related papers: Simulating the Haldane Phase in Trapped Ion Spins …

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We review the basic properties of the Haldane phase in spin-1 Heisenberg antiferromagnetic chains, including its persistence in quasi-one-dimensional geometries. Using large-scale numerical simulations, we map out the phase diagram for a…

Strongly Correlated Electrons · Physics 2015-01-05 Keola Wierschem , Pinaki Sengupta

We consider a quasi-one-dimensional system of spin-1 Heisenberg antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale numerical simulations, we map…

Strongly Correlated Electrons · Physics 2014-06-24 Keola Wierschem , Pinaki Sengupta

We propose a metrology scheme that is made robust to a wide range of noise processes by using the passive, error-preventing properties of symmetry-protected topological phases. The so-called fractionalized edge mode of an antiferromagnetic…

Quantum Physics · Physics 2018-01-04 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake

The ground states of two types of distorted mixed diamond chains with spins 1 and 1/2 are investigated using exact diagonalization, DMRG, and mapping onto low-energy effective models. In the undistorted case, the ground state consists of an…

Strongly Correlated Electrons · Physics 2010-11-11 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

In this work, we study the magnetic phases of a spatially-modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique we study various magnetic and topologically nontrivial phases using both…

Materials Science · Physics 2022-12-20 Manas Sajjan , Hadiseh Alaeian , Sabre Kais

Ground-state of the S=1 XXZ spin chain under the influence of the random magnetic field is studied by means of the exact-diagonalization method. The S=1/2 counterpart has been investigated extensively so far. The easy-plane area, including…

Condensed Matter · Physics 2015-06-25 Yoshihiro Nishiyama

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

Quantum Physics · Physics 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

Quantum Physics · Physics 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

We provide the phase diagram of a 2-parameter spin-1 chain that has a symmetry-protected topological (SPT) Haldane phase using computational algorithms along with tensor-network tools. We improve previous results, showing the existence of a…

Strongly Correlated Electrons · Physics 2025-02-19 Mohamad Mousa , Birgit Wehefritz-Kaufmann , Sabre Kais , Shawn Cui , Ralph Kaufmann

We demonstrate a general method for state detection of trapped ions that can be applied to a large class of atomic and molecular species. We couple a "spectroscopy" ion (Al+) to a "control" ion (Mg+) in the same trap and perform state…

Quantum Physics · Physics 2011-12-12 D. B. Hume , C. W. Chou , D. R. Leibrandt , M. J. Thorpe , D. J. Wineland , T. Rosenband

We investigate the magnetic field behaviour of an antiferromagnetic Heisenberg spin-1 chain with the most general single-ion anisotropy. We discuss the regime in which the magnetic field is below the transition value. The splitting of the…

Condensed Matter · Physics 2009-10-22 O. Golinelli , Th. Jolicoeur , R. Lacaze

The ground state of the $S=1$ antiferromagnetic Heisenberg chain belongs to the Haldane phase -- a well known example of symmetry-protected topological phase. A staggered field applied to the $S=1$ antiferromagnetic chain breaks all the…

Strongly Correlated Electrons · Physics 2015-06-09 Yohei Fuji , Frank Pollmann , Masaki Oshikawa

The ground-state phase diagram of $S=2$ antiferromagnetic Heisenberg chains with coexisting uniform and alternating single-site anisotropies is investigated by the numerical exact diagonalization and density matrix renormalization group…

Strongly Correlated Electrons · Physics 2014-02-18 Kazuo Hida

For several decades, ions have been trapped by radio frequency (RF) and neutral particles by optical fields. We implement the experimental proof-of-principle for trapping an ion in an optical dipole trap. While loading, initialization and…

Quantum Physics · Physics 2015-05-18 Ch. Schneider , M. Enderlein , T. Huber , T. Schaetz

We investigate the ground state properties of a newly discovered phase of one dimensional lattice bosons with extended interactions (see E. G. Dalla Torre et al., Phys. Rev. Lett. \textbf{97}, 260401 (2006)). The new phase, termed the…

Strongly Correlated Electrons · Physics 2008-06-18 Erez Berg , Emanuele G. Dalla Torre , Thierry Giamarchi , Ehud Altman

We show that a trapped ion chain interacting with an optical spin-dependent force shows strong frustration effects due to the interplay between long-range interactions and the dressing by optical phases. We consider a strong spin-phonon…

Quantum Physics · Physics 2016-02-03 Pedro Nevado , Diego Porras

We present a novel mixed-spin cluster expansion method for a quasi-one-dimensional Haldane system with bond alternation. By mapping the s=1 antiferromagnetic spin model on square and cubic lattices to the equivalent mixed-spin model, we…

Strongly Correlated Electrons · Physics 2007-05-23 Akihisa Koga , Norio Kawakami

We have found the exact groundstate for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All groundstate properties can be calculated. The groundstate is determined as a matrix product…

Condensed Matter · Physics 2009-10-22 A. Klümper , A. Schadschneider , J. Zittartz

Polarized and unpolarized inelastic neutron scattering is used to study Haldane-gap excitations in the mixed-spin linear-chain antiferromagnet Nd2BaNiO5. The longitudinal mode, polarized along the direction of ordered moments, is observed…

Strongly Correlated Electrons · Physics 2009-10-31 S. Raymond , T. Yokoo , A. Zheludev , S. E. Nagler , A. Wildes , J. Akimitsu

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac