The NMR line shape of a gas of hydrogen molecules in nanopores

Fedorova, Anna; Fel’dman, É. B.; Polianczyk, Daniel E.

doi:10.1007/s00723-009-0182-4

Cited by 5 publications

(8 citation statements)

References 8 publications

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“…The fourth order CS matrix can be written in the most general form as (18) where a 1 , …, a 8 are any real or complex quantities. Let us subject this matrix to the similarity transformation H 2 AH 2 , in which (19) where (20) is the ordinary Hadamard transform.…”

Section: Relationship Between the Cs And X Matricesmentioning

confidence: 99%

“…As a result, these factors led to an incomplete averaging of the sec ular part of the magnetic dipole-dipole interactions between particle spins. Subsequently, the problem of the quantum behavior of spin carrying particles in a closed volume of space in the presence of a strong magnetic field was considered in [17][18][19][20][21]. ellipsoidal shape.…”

Section: Introductionmentioning

confidence: 99%

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NMR dynamics of quantum discord for spin-carrying gas molecules in a closed nanopore

Yurishchev

2014

J. Exp. Theor. Phys.

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Previously [22], we made an attempt to theoreti cally study the dynamical quantum correlations in a model of N moving I = 1/2 spins confined in the pres ence of a strong magnetic field B 0 in a volume with an Abstract-A local orthogonal transformation that transforms any centrosymmetric density matrix of a two qubit system to the X form has been found. A piecewise analytic-numerical formula Q = min{Q π/2 , Q θ , Q 0 }, where Q π/2 and Q 0 are analytical expressions and the branch Q θ can be obtained only by numerically searching for the optimal measurement angle θ ∈ (0, π/2), is proposed to calculate the quantum discord Q of a general X state. The developed approaches have been applied for a quantitative description of the recently predicted flickering (periodic disappearance and reappearance) of the quantum information pair correlation between nuclear 1/2 spins of atoms or molecules of a gas (for example, 129 Xe) in a bounded volume in the presence of a strong magnetic field.

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Section: Relationship Between the Cs And X Matricesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

NMR dynamics of quantum discord for spin-carrying gas molecules in a closed nanopore

Yurishchev

2014

J. Exp. Theor. Phys.

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“…The time evolution of the density matrix is described as where we took into account that [I α , I 2 ] = 0 (α = x, y, z) and set a = 3D 2 . The density matrix (3) describes the free induction decay and NMR line shape [15,16]. In order to solve our problems it is convenient to rewrite the density matrix ρ(t) as [19]…”

Section: The Reduced Density Matrix Of the Spin Pair In A Nanoporementioning

confidence: 99%

“…In the present article we investigate theoretically the entanglement and quantum discord in a thin silicon film containing close nanopores filled with a a gas of spin-carrying molecules (atoms) with spin s = 1/2 in a strong external magnetic field. NMR line shape in such films was studied experimentally [14] and theoretically [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we investigate theoretically the entanglement and quantum discord in a thin silicon film containing closed nanopores filled with a gas of spincarrying molecules (atoms) with spin s = 1/2 in a strong external magnetic field. NMR line shape in such films was studied experimentally [14] and theoretically [15,17]. Fast molecular motion in nanopores does not average the dipole-dipole interactions (DDIs) completely (space confinement) and the residual DDI is described by one coupling constant which is the same for all pairs of interacting spins [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Quantum correlations in a system of nuclears= 1/2 spins in a strong magnetic field

Fel’dman¹,

Kuznetsova²,

Yurishchev³

2012

J. Phys. A: Math. Theor.

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Entanglement and quantum discord for a pair of nuclear spins s = 1/2 in a nanopore filled with a gas of spin-carrying molecules (atoms) are studied. The correlation functions describing dynamics of dipolar coupled spins in a nanopore are found. The dependence of spin-pair entanglement on the temperature and the number of spins is obtained from the reduced density matrix, which is centrosymmetric (CS). An analytic expression for the concurrence is obtained for an arbitrary CS density matrix. It is shown that the quantum discord as a measure of quantum correlations attains a significant value at low temperatures. It is shown also that the discord in the considered model has "flickering" character and disappears periodically in the course of the time evolution of the system. The geometric discord is studied for arbitrary 4 × 4 CS density matrices.

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