scholarly journals Is Solid Copper Oxalate a Spin Chain or a Mixture of Entangled Spin Pairs?

2021 ◽  
Author(s):  
Pavel Pokhilko ◽  
Dmitry S. Bezrukov ◽  
Anna I. Krylov
Keyword(s):  
Spin Chain ◽  
Copper Oxalate ◽  
Spin Pairs ◽  
Solid Copper

ENTANGLEMENT MODULATION IN A SPIN CHAIN BY A LOCAL IMPURITY

2008 ◽  
Vol 06 (supp01) ◽  
pp. 567-573 ◽  
Author(s):  
TONY J. G. APOLLARO ◽  
ALESSANDRO CUCCOLI ◽  
ANDREA FUBINI ◽  
FRANCESCO PLASTINA ◽  
PAOLA VERRUCCHI
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Spin Chain ◽  
Nearest Neighbor ◽  
Magnetic Impurity ◽  
Transverse Field ◽  
Transverse Magnetic ◽  
Spatial Modulation ◽  
Spin Pairs ◽  
The Magnetic Field

We study the ground-state entanglement properties of an XX spin 1/2 chain in transverse field, in its quasi-long-ranged ordered phase, with a magnetic impurity, represented in terms of an additional transverse magnetic field located at one precise site. For such a system, we show that a control of the ground state entanglement can be achieved by acting on the impurity field. To demonstrate this possibility, we evaluate exactly the nearest neighbor and next-nearest neighbor concurrence in the presence of the impurity. It turns out that either an enhancement or a quenching of entanglement between selected spin pairs can be obtained by acting on the intensity of the impurity. For specific values of the magnetic field a spatial modulation of concurrence along the chain is also obtained.

scholarly journals Magnetic and magnetodielectric coupling anomalies in the Haldane spin-chain system Nd2BaNiO5

AIP Advances ◽  
2015 ◽  
Vol 5 (3) ◽  
pp. 037128 ◽  
Author(s):  
Tathamay Basu ◽  
Niharika Mohapatra ◽  
Kiran Singh ◽  
E. V. Sampathkumaran
Keyword(s):  
Spin Chain ◽  
Chain System

scholarly journals The integrable (hyper)eclectic spin chain

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Changrim Ahn ◽  
Matthias Staudacher
Keyword(s):  
Spin Chain ◽  
Nearest Neighbor ◽  
Inverse Scattering Method ◽  
Spin Chains ◽  
Scattering Method ◽  
Yang Mills ◽  
Deformation Parameters ◽  
Dilatation Operator ◽  
The One ◽  
State Spin

Abstract We refine the notion of eclectic spin chains introduced in [1] by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians. They turn out to be non-diagonalizable in the multiparticle sector (n > 2), where their “spectrum” consists of an intricate collection of Jordan blocks of arbitrary size and multiplicity. We show how and why the quantum inverse scattering method, sought to be universally applicable to integrable nearest-neighbor spin chains, essentially fails to reproduce the details of this spectrum. We then provide, for n=3, detailed evidence by a variety of analytical and numerical techniques that the spectrum is not “random”, but instead shows surprisingly subtle and regular patterns that moreover exhibit universality for generic deformation parameters. We also introduce a new model, the hypereclectic spin chain, where all parameters are zero except for one. Despite the extreme simplicity of its Hamiltonian, it still seems to reproduce the above “generic” spectra as a subset of an even more intricate overall spectrum. Our models are inspired by parts of the one-loop dilatation operator of a strongly twisted, double-scaled deformation of $$ \mathcal{N} $$ N = 4 Super Yang-Mills Theory.

scholarly journals Spin chain overlaps and the twisted Yangian

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Marius de Leeuw ◽  
Tamás Gombor ◽  
Charlotte Kristjansen ◽  
Georgios Linardopoulos ◽  
Balázs Pozsgay
Keyword(s):  
Spin Chain ◽  
Twisted Yangian

scholarly journals Erratum: Coherent Multispin Exchange Coupling in a Quantum-Dot Spin Chain [Phys. Rev. X 10 , 031006 (2020)]

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Haifeng Qiao ◽  
Yadav P. Kandel ◽  
Kuangyin Deng ◽  
Saeed Fallahi ◽  
Geoffrey C. Gardner ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Spin Chain ◽  
Exchange Coupling

scholarly journals Heisenberg spin chain as a worldsheet coordinate for lightcone quantized string

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Charles B. Thorn
Keyword(s):  
Energy Spectrum ◽  
Excited States ◽  
Spin Chain ◽  
Discrete Dynamical System ◽  
Heisenberg Spin ◽  
Free Fermions ◽  
Heisenberg Spin Chain ◽  
Delta Sigma ◽  
Special Cases ◽  
Quantized String

Abstract Although the energy spectrum of the Heisenberg spin chain on a circle defined by$$ H=\frac{1}{4}\sum \limits_{k=1}^M\left({\sigma}_k^x{\sigma}_{k+1}^x+{\sigma}_k^y{\sigma}_{k+1}^y+\Delta {\sigma}_k^z{\sigma}_{k+1}^z\right) $$ H = 1 4 ∑ k = 1 M σ k x σ k + 1 x + σ k y σ k + 1 y + Δ σ k z σ k + 1 z is well known for any fixed M, the boundary conditions vary according to whether M ∈ 4ℕ + r, where r = −1, 0, 1, 2, and also according to the parity of the number of overturned spins in the state, In string theory all these cases must be allowed because interactions involve a string with M spins breaking into strings with M1< M and M − M1 spins (or vice versa). We organize the energy spectrum and degeneracies of H in the case ∆ = 0 where the system is equivalent to a system of free fermions. In spite of the multiplicity of special cases, in the limit M → ∞ the spectrum is that of a free compactified worldsheet field. Such a field can be interpreted as a compact transverse string coordinate x(σ) ≡ x(σ) + R0. We construct the bosonization formulas explicitly in all separate cases, and for each sector give the Virasoro conformal generators in both fermionic and bosonic formulations. Furthermore from calculations in the literature for selected classes of excited states, there is strong evidence that the only change for ∆ ≠ 0 is a change in the compactification radius R0→ R∆. As ∆ → −1 this radius goes to infinity, giving a concrete example of noncompact space emerging from a discrete dynamical system. Finally we apply our work to construct the three string vertex implied by a string whose bosonic coordinates emerge from this mechanism.

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