Entanglement dynamics of one-dimensional driven spin systems in time-varying magnetic fields

Alkurtass, Bedoor; Sadiek, Gehad; Kais, Sabre

doi:10.1103/physreva.84.022314

Cited by 18 publications

(12 citation statements)

References 57 publications

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“…Particular fields where entanglement is considered as a crucial resource are quantum teleportation, cryptography and quantum computation [2,3], where it provides the physical basis for manipulating the linear superposition of the quantum states used to implement the different computational algorithms. On the other hand, many questions regarding the behavior of the complex quantum systems significantly rely on a deep understanding and a good quantification of the entanglement [4][5][6][7][8][9]. Particularly, entanglement is considered as the physical resource responsible for the long range correlations taking place in many-body systems during quantum phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy

Sadiek

Kais

2012

Phys. Rev. A

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We consider the entanglement in a two dimensional XY model in an external magnetic field h. The model consists of a set of 7 localized spin-1 2 particles in a two dimensional triangular lattice coupled through nearest neighbor exchange interaction J. We examine the effect of single and double impurities in the system as well as the degree of anisotropy on the nearest neighbor entanglement and ergodicity of the system. We have found that the entanglement of the system at the different degrees of anisotropy mimics that of the one dimensional spin systems at the extremely small and large values of the parameter λ = h/J. The entanglement of the Ising and partially anisotropic system show phase transition in the vicinity of λ = 2 while the entanglement of the isotropic system suddenly vanishes there. Also we investigate the dynamic response of the system containing single and double impurities to an external exponential magnetic field at different degrees of anisotropy. We have demonstrated that the ergodicity of the system can be controlled by varying the strength and location of the impurities as well as the degree of anisotropy of the coupling.

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Section: Introductionmentioning

confidence: 99%

Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy

Sadiek

Kais

2012

Phys. Rev. A

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“…Equation (15) has an exact solution for a time-dependent step function form for the magnetic field λ (t) = λ i + (λ e − λ i ) θ (t) which we adopt in this work [25,26]. Here θ (t) is the usual mathematical step function.…”

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confidence: 99%

Decoherence of a quantum system coupled to an XY spin chain: Role of the initial state of the spin chain

Yuan

Zhang

et al. 2016

Annals of Physics

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We study the decoherence of a coupled quantum system consisting of a central spin and its correlated environment described by a general XY spin-chain model. We make it clear that the evolution of the coherence factor sensitively depends on the initial states of the environment spinchain. Specially, the dynamical evolution of the coherence factor of the central spin is numerically and analytically investigated in both weak and strong coupling cases for different initial states including thermal equilibrium state. In both weak and strong coupling regimes, the decay of the coherence factor can be approximated by a Gaussian and in the strong coupling regime the coherence factor oscillate rapidly under a Gaussian envelope. The width of the Gaussian decay (envelope) has been studied in details and we explained the origin of the so-called universal regime.

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“…As interacting quantum spin systems are believed to be paradigmatic for quantum information processing [39], their entanglement dynamics has attracted much attention [40][41][42][43][44][45][46][47][48][49]. In prior works, the dynamical behavior of pairwise entanglement is found to be related to quantum phase transitions of the spin chains.…”

Section: Introductionmentioning

confidence: 99%

Rabi oscillations, decoherence, and disentanglement in a qubit–spin-bath system

Nanduri

Rabitz

2014

Phys. Rev. A

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We examine the influence of environmental interactions on simple quantum systems by obtaining the exact reduced dynamics of a qubit coupled to a one-dimensional spin bath. In contrast to previous studies, both the qubit-bath coupling and the nearest neighbor intrabath couplings are taken as the spin-flip XX-type. We first study the Rabi oscillations of a single qubit with the spin bath prepared in a spin coherent state, finding that nonresonance and finite intrabath interactions have significant effects on the qubit dynamics. Next, we discuss the bath-induced decoherence of the qubit when the bath is initially in the ground state, and show that the decoherence properties depend on the internal phases of the spin bath. By considering two independent copies of the qubitbath system, we finally probe the disentanglement dynamics of two noninteracting entangled qubits. We find that entanglement sudden death appears when the spin bath is in its critical phase. We show that the single-qubit decoherence factor is an upper bound for the two-qubit concurrence.

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Entanglement dynamics of one-dimensional driven spin systems in time-varying magnetic fields

Cited by 18 publications

References 57 publications

Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy

Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy

Decoherence of a quantum system coupled to an XY spin chain: Role of the initial state of the spin chain

Rabi oscillations, decoherence, and disentanglement in a qubit–spin-bath system

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