Search results for "spin chains"

showing 5 items of 5 documents

Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

2011

In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric solid-on-solid (SOS) model with one reflecting end and domain wall boundary conditions. We show that these two problems are related through a gauge transformation (so-called vertex-face transformation) and can be solved using the same dynamical reflection algebras.

High Energy Physics - TheorySOS modelsspin chainsDiagonalFOS: Physical sciencesBoundary (topology)algebraic Bethe ansatzMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Boundary value problemGauge theoryMathematical PhysicsEigenvalues and eigenvectorsMathematicsSpin-½Partition function (statistical mechanics)Nonlinear Sciences - Exactly Solvable and Integrable Systemslcsh:MathematicsMathematical analysisMathematical Physics (math-ph)lcsh:QA1-939dynamical reflection algebraTransformation (function)High Energy Physics - Theory (hep-th)Geometry and TopologyExactly Solvable and Integrable Systems (nlin.SI)AnalysisSymmetry, Integrability and Geometry: Methods and Applications
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Multipartite entanglement transfer in spin chains

2020

We investigate the transfer of genuine multipartite entanglement across a spin-1/2 chain with nearest-neighbor XX-type interaction. We focus on the perturbative regime, where a block of spins is weakly coupled at each edge of a quantum wire, embodying the role of a multiqubit sender and receiver, respectively. We find that high-quality multipartite entanglement transfer is achieved at the same time that three excitations are transferred to the opposite edge of the chain. Moreover, we find that both a finite concurrence and tripartite negativity is attained at much shorter time, making GHZ-distillation protocols feasible. Finally, we investigate the robustness of our protocol with respect to…

PhysicsQuantum PhysicsSpinsQuantum wireFOS: Physical sciencesGeneral Physics and AstronomyConcurrenceQuantum PhysicsPerturbative dynamic01 natural sciencesMultipartite entanglement010305 fluids & plasmasCondensed Matter - Other Condensed MatterQuantum spin chainChain (algebraic topology)Robustness (computer science)Quantum spin chainsQuantum mechanics0103 physical sciencesQuantum Physics (quant-ph)010306 general physicsFocus (optics)Other Condensed Matter (cond-mat.other)Spin-½Multipartite entanglementPhysics Letters A
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Spin chains for two-qubit teleportation

2019

Generating high-quality multi-particle entanglement between communicating parties is the primary resource in quantum teleportation protocols. To this aim, we show that the natural dynamics of a single spin chain is able to sustain the generation of two pairs of Bell states - possibly shared between a sender and a distant receiver - which can in turn enable two-qubit teleportation. In particular, we address a spin-1/2 chain with XX interactions, connecting two pairs of spins located at its boundaries, playing the roles of sender and receiver. In the regime where both end pairs are weakly coupled to the spin chain, it is possible to generate at predefinite times a state that has vanishing inf…

PhysicsQuantum PhysicsSpinsmedia_common.quotation_subjectQuantum communication Quantum entanglement Quantum teleportation 1-dimensional spin chains Quantum InformationFidelityFOS: Physical sciencesQuantum entanglementQuantum Physics01 natural sciencesTeleportationNatural dynamics010305 fluids & plasmasCondensed Matter - Other Condensed Mattersymbols.namesakeQuantum mechanicsQubit0103 physical sciencessymbols010306 general physicsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Quantum teleportationmedia_commonOther Condensed Matter (cond-mat.other)
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QUANTUM SPIN CHAINS WITH COMPOSITE SPIN

1988

The ground state of quantum spin chains with two spin-1/2 operators per site is determined from finite chain calculations and compared to predictions from the continuum limit. As particular cases, results for the spin-1 Heisenberg chain, the spin-1 model with bilinear and biquadratic exchange and the extended Hubbard model are analysed.

PhysicsQuantum spin chainsContinuum (measurement)Condensed matter physicsHubbard modelQuantum mechanicsComposite numberGeneral EngineeringBilinear interpolationCondensed Matter::Strongly Correlated ElectronsGround stateLe Journal de Physique Colloques
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Partition function of the trigonometric SOS model with reflecting end

2010

We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.

Statistics and ProbabilityHigh Energy Physics - Theory[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]Domain wall boundary conditionsopen spin chainsFOS: Physical sciencesBoundary (topology)Type (model theory)01 natural sciences[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]Domain wall (string theory)[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciencesASEPBoundary value problem010306 general physicsMathematical PhysicsMathematicsPartition function (quantum field theory)010308 nuclear & particles physics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]Mathematical analysis[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Algebraic Bethe ansatzStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Square latticeReflection (mathematics)High Energy Physics - Theory (hep-th)[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Statistics Probability and UncertaintyTrigonometry
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