Thermodynamics of a Plane Ising-Onsager Dipole Lattice

Дыхне, А. М.; Rumer, Yurii B

doi:10.1070/pu1962v004n05abeh003365

Cited by 60 publications

(97 citation statements)

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“…The transition amplitude can also be obtained within the formalism introduced by Dykhne. 17,18 However, we found that the transition probability in our case of predominantly adiabatic transport does not significantly differ from the Landau-Zener formula (8).…”

Section: (B)]mentioning

confidence: 38%

Spin transmission control in helical magnetic fields

2012

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We calculate spin transport in two-dimensional waveguides in the presence of spatially modulated Zeeman-split energy bands. We show that in a regime where the spin evolution is predominantly adiabatic the spin backscattering rate can be tuned via diabatic Landau-Zener transitions between the spin-split bands [Betthausen et al., Science 337, 324 (2012)]. This mechanism is tolerant against spin-independent scattering processes. Completely spinpolarized systems show full spin backscattering, and thus current switching. In partially spin-polarized systems a spatial sequence of Landau-Zener transition points enhances the resistance modulation via reoccupation of backscattered spin-polarized transport modes. We discuss a possible application as a spin transistor.

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Section: (B)]mentioning

confidence: 38%

Spin transmission control in helical magnetic fields

2012

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“…Here the critical point, z c , is determined as a solution of the equation, ε k (z c ) = 0, in the complex plane obtained by analytical continuation, t → z [30][31][32][33][34][35][36][37][38]. Similarly, if initially the system was in the excited state: |ψ k (0) = |u + (k, 0) , so that α k (0) = 0 and β k (0) = 1, the result of integration yields…”

Section: B Adiabatic Basismentioning

confidence: 99%

Non-Hermitian quantum annealing in the ferromagnetic Ising model

Nesterov¹,

Zepeda²,

Berman³

2013

Phys. Rev. A

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We developed a non-Hermitian quantum optimization algorithm to find the ground state of the ferromagnetic Ising model with up to 1024 spins (qubits). Our approach leads to significant reduction of the annealing time. Analytical and numerical results demonstrate that the total annealing time is proportional to ln N , where N is the number of spins. This encouraging result is important in using classical computers in combination with quantum algorithms for the fast solutions of NPcomplete problems. Additional research is proposed for extending our dissipative algorithm to more complicated problems.

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“…which is a generalization of the Dykhne adiabatic method [45] to the case when a quantum system has a continuum spectrum. Here, ϕ = ωt is the phase of a laser field, ϕ 0 is the complex solution of the equation…”

Section: The Simultaneous Electron Emission Within the Adiabaticmentioning

confidence: 99%

“…Second, within the adiabatic approximation (see, e.g., Refs. [45][46][47][48][49][50][51][52][53] and references therein), we present a simple analytical threedimensional model based on the assumption that both the electrons are ejected simultaneously (the time of return of the first electron coincides with the time of liberation of the second electron, i.e., the ion has no time to be excited) in Sec. III.…”

Section: Introductionmentioning

confidence: 99%

Nonsequential double ionization below laser-intensity threshold: Anticorrelation of electrons without excitation of parent ion

et al. 2011

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Two-electron correlated spectra of non-sequential double ionization below laser-intensity threshold are known to exhibit back-to-back scattering of the electrons, viz., the anticorrelation of the electrons. Currently, the widely accepted interpretation of the anticorrelation is recollision-induced excitation of the ion plus subsequent field ionization of the second electron. We argue that another mechanism, namely simultaneous electron emission, when the time of return of the rescattered electron is equal to the time of liberation of the bounded electron (the ion has no time for excitation), can also explain the anticorrelation of the electrons in the deep below laser-intensity threshold regime. Our conclusion is based on the results of the numerical solution of the time-dependent Schrödinger equation for a model system of two one-dimensional electrons as well as an adiabatic analytic model that allows for a closed-form solution.

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Thermodynamics of a Plane Ising-Onsager Dipole Lattice

Cited by 60 publications

References 0 publications

Spin transmission control in helical magnetic fields

Spin transmission control in helical magnetic fields

Non-Hermitian quantum annealing in the ferromagnetic Ising model

Nonsequential double ionization below laser-intensity threshold: Anticorrelation of electrons without excitation of parent ion

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