Superradiance by ferroelectrics in cavity resonators

Yukalov, V. I.

doi:10.1088/1555-6611/ab4bc4

Cited by 6 publications

(21 citation statements)

References 74 publications

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“…Anyway, this is a rather large quantity comparable or even larger than the characteristic dipolar interaction energy ρµ 2 S , where ρ is the average atomic density. The mean interatomic distance in optical lattices is of the order a ∼ (10 Hamiltonian (3.106) has the structure similar to that of the system of magnetic nanomolecules and magnetic nanoclusters [112,[125][126][127][128][129], with the quadratic Zeeman term analogous to the singlesite anisotropy. Therefore the spin dynamics for this Hamiltonian can be studied in the same way as in the cited papers.…”

Section: Spin Dynamicsmentioning

confidence: 98%

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Dipolar and spinor bosonic systems

Yukalov

2018

Laser Phys.

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The main properties and methods of describing dipolar and spinor atomic systems, composed of bosonic atoms or molecules, are reviewed. The general approach for the correct treatment of Bose-condensed atomic systems with nonlocal interaction potentials is explained. The approach is applied to Bose-condensed systems with dipolar interaction potentials. The properties of systems with spinor interaction potentials are described. Trapped atoms and atoms in optical lattices are considered. Effective spin Hamiltonians for atoms in optical lattices are derived. The possibility of spintronics with cold atom is emphasized. The present review differs from the previous review articles by concentrating on a thorough presentation of basic theoretical points, helping the reader to better follow mathematical details and to make clearer physical conclusions.Cold atomic and molecular bosonic systems have recently been the objects of intensive research, both experimental and theoretical. First, the attention has been concentrated on dilute systems, composed of particles characterized by local interaction potentials, independent of spins, whose properties are well described by the s-wave scattering length. There are several books [1-4] and review articles [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] covering different aspects of such bosonic systems with spin-independent local interaction potentials.In the present review, bosonic atoms or molecules are treated interacting through nonlocal interaction potentials, such as dipolar potential, and interacting through spinor forces that are local but depending on the effective spins related to hyperfine states. Although there exist reviews devoted to dipolar [20][21][22][23][24][25] and spinor [26,27] systems (see also [3,28]) the present paper differs from them in the following aspects. First, our aim here is not a brief enumeration of particular cases, numerical calculations, and different experiments, but the attention here is concentrated on the principal theoretical points allowing for the correct treatment of dipolar and spinor systems. Second, more attention is payed to the derivation of effective spin Hamiltonians for atoms and molecules in optical lattices. Third, the possibility of spintronics with cold atoms and molecules, interacting through dipolar and spinor forces, is discussed.The exposition of the material is organized so that the main mathematical points be clear to the reader. More technical details can be found in the tutorials [29,30]. Throughout the paper, the system of units is employed where the Boltzmann and Planck constants are set to one, k B = 1 and = 1.As is evident, the equation for the vacuum coherent field (2.40) differs form the equation (2.34) for the condensate function that is a coherent field, but, generally, not the vacuum coherent field. Equation (2.40) is a particular case of (2.34), where there are no uncondensed particles, so that ρ 1 , σ 1 , as well as ξ, are zero.One often confuses equation (2.40) for the vacuum coherent field with me...

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Section: Spin Dynamicsmentioning

confidence: 98%

“…that become zero for S = 1/2. The general decoupling, taking into account this case reads [112,125,227] as…”

Section: Spin Dynamicsmentioning

confidence: 99%

Dipolar and spinor bosonic systems

Yukalov

2018

Laser Phys.

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“…In turn, this current creates a feedback field acting on the spins of the sample. The equation for the feedback field follows from the Kirhhoff equation [23][24][25][26][27] yielding…”

Section: Resonator Feedback Fieldmentioning

confidence: 99%

“…while the standard mean-field approximation would result in a nonzero quantity. The correct approximation for such single-site binary combinations, for arbitrary spins, reads [23][24][25] as…”

Section: Spin Equations Of Motionmentioning

confidence: 99%

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Spin dynamics in lattices of spinor atoms with quadratic Zeeman effect

Yukalov

Yukalova

2018

Eur. Phys. J. D

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A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are well localized. But their effective spins can move in the presence of external magnetic fields. The dynamics of spins, starting from an initial nonequilibrium state, is investigated. The system is immersed into a magnetic coil of an electric circuit, creating a magnetic feedback field. Two types of quadratic Zeeman effect are treated, a nonresonant, socalled static-current quadratic Zeeman effect and a quasi-resonant alternating-current quadratic Zeeman effect. Spin dynamics in these conditions is highly nonlinear. Different regimes of spin dynamics, starting from a strongly nonequilibrium state, are studied. Conditions for realizing fast spin reversal are found, which can be used in quantum information processing and spintronics.2. We consider strongly nonequilibrium dynamics, but not slight deviations from equilibrium, which requires to deal with special methods of solving spin evolution equations.3. Both types of the quadratic Zeeman effect are taken into account, the nonresonant static-current, as well as the quasi-resonant alternating-current effects, which provides efficient tools for influencing spin motion.4. In addition to a stationary magnetic field, the sample is subject to the action of a feedback magnetic field formed by a magnetic coil of an electric circuit. Such a configuration allows for a powerful possibility of regulating spin dynamics. 5.Conditions for realizing fast spin reversal are investigated. This mechanism can be employed in spintronics and information processing.

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