The solution of an open XXZ chain with arbitrary spin revisited

Murgan, Rajan; Silverthorn, Christopher

doi:10.1088/1742-5468/2015/02/p02001

Cited by 3 publications

(3 citation statements)

References 36 publications

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“…The second category comprises all other sweet spots, which generally depend on both S and n and are tabularized in [31]. It is worth noting that, here, all spin-1/2 chains are integrable [32,33], while all discussed chains with a larger spin quantum number are not [34][35][36]. We corroborate this by a level spacing analysis [37][38][39] symmetry related origin of the sweet spots, see [31].…”

Section: Modelsupporting

confidence: 73%

“…First of all, all spin-1/2 XXZ Heisenberg chains with nearest neighbor interactions are integrable [32], being solvable by the Bethe ansatz. This property remains unchanged by the employed boundary terms [33]. Likewise, for chains with a larger spin quantum number, all models we consider are not integrable.…”

Section: Level Spacing Statistics and Integrability Analysis Of The Smentioning

confidence: 92%

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Winding Up Quantum Spin Helices: How Avoided Level Crossings Exile Classical Topological Protection

Posske

Thorwart

2019

Phys. Rev. Lett.

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A magnetic helix can be wound into a classical Heisenberg chain by fixing one end while rotating the other one. We show that in quantum Heisenberg chains of finite length, the magnetization slips back to the trivial state beyond a finite turning angle. Avoided level crossings thus undermine classical topological protection. Yet, for special values of the axial Heisenberg anisotropy, stable spin helices form again, which are non-locally entangled. Away from these sweet spots, spin helices can be stabilized dynamically or by dissipation. For half-integer spin chains of odd length, a spin slippage state and its Kramers partner define a qubit with a non-trivial Berry connection.

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Section: Modelsupporting

confidence: 73%

Section: Level Spacing Statistics and Integrability Analysis Of The Smentioning

confidence: 92%

Winding Up Quantum Spin Helices: How Avoided Level Crossings Exile Classical Topological Protection

Posske

Thorwart

2019

Phys. Rev. Lett.

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“…Ribeiro, Martins and Galleas obtained the exact solution of the SU(N)-invariant high spin chain with generic toroidal boundary conditions [49]. For the SU(2)-invariant spin-s chains (with generic s), the exact solutions for the non-diagonal boundaries were previously known only for some special cases [50,51,52,53,54,55]. Until very recently, exact spectrum of the model with generic boundary conditions was derived [56] in terms of an inhomogeneous T − Q relation via the ODBA.…”

Section: Introductionmentioning

confidence: 99%