De Haas-van Alphen effect of a two-dimensional ultracold atomic gas

Farias, B.; Furtado, C.

doi:10.1016/j.physb.2015.10.015

Cited by 7 publications

(9 citation statements)

References 25 publications

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“…When the filling number is of the order of unity, we expect the atomic gas to exhibit an oscillatory dependence on physical observables as a function of field strength at low temperature. Generally known as "quantum magnetic oscillations", these effects could be observed for example, for the atomic analog of the magnetization (de Haas-van Alphen oscillations) [35,36], the resistivity (Shubnikov-de Haas oscillations) [37], the Hall resistance [38], or the specific heat [39].…”

Section: Landau Levels For λ-Type Neutral Atomsmentioning

confidence: 99%

Landau Quantization for Λ-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential

Farias¹,

Melo²,

Furtado³

2019

Braz J Phys

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We investigate the quantum dynamics of neutral atoms subject to a uniform spin-dependent gauge field. In particular, we analyze a simple experimental scheme to generate the Landau quantization in a two dimensional atomic gas with internal three-level Λ-type configuration. We show how energy eigenfunctions and eigenvalues are obtained and discuss the experimental conditions for which a variety of physical quantities of the atomic gas can exhibit quantum oscillations.

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Section: Landau Levels For λ-Type Neutral Atomsmentioning

confidence: 99%

Landau Quantization for Λ-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential

Farias¹,

Melo²,

Furtado³

2019

Braz J Phys

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“…On the other hand, in our system we consider the particles confined in a 2D atomic cloud which implies that the value of r is limited. In this case, we can obtain the analytical solution (12), in the limit of [12,[19][20][21]…”

Section: Landau-aharonov-casher Quantizationmentioning

confidence: 99%

“…In [18], Grenier et al have explored the possibility of observing like-dHvA oscillations for a non-interacting gas of fermionic atoms, either by putting the gas in rotation or by using artificial gauge fields. In another recent work we propose an experimental scheme for the realization of the dHvA effect in a 2D ultracold atomic cloud which uses the coupling between the internal states of tripod-type atoms and an appropriate spatially varying laser field arrangement [19].…”

Section: Introductionmentioning

confidence: 99%

de Haas-van Alphen oscillations for neutral atoms in electric fields

Farias

Furtado

2016

Eur. Phys. J. Plus

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The de Haas van Alphen (dHvA) effect is well known as an oscillatory variation of the magnetization of conductors as a function of the inverse magnetic field and the frequency is proportional to the area of the Fermi surface. Here, we show that an analog effect can occur for neutral atoms with a nonvanishing magnetic moment interacting with an electric field. Under an appropriate field-dipole configuration, the neutral atoms subject to a synthetic magnetic field arrange themselves in Landau levels. Using the Landau-Aharonov-Casher (LAC) theory, we obtain the energy eigenfunctions and eigenvalues as well as the degeneracy of the system. In a strong effective magnetic field regime we present the quantum oscillations in the energy and effective magnetization of a two-dimensional (2D) atomic gas. From the dHvA period we determine the area of the Fermi circle of the atomic cloud.

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“…However, the elementary aspects of the artificial magnetism, such as artificial Landau diamagnetism [13] and artificial de Haas-van Alphen effect [14], have not been observed in trapped gas of neutral fermionic atoms [23,24] exposed to an artificial magnetic field. A few such elementary aspects, on the other hand, were theoretically explored for both the 2D Fermi system [25] and the 3D Fermi system [26,27] for low temperatures and weak & strong fields. However, unification of the artificial Landau diamagnetism and the artificial de Haas-van Alphen effect have not been even theoretically achieved for all temperatures and all strengths of the field.…”

Section: Introductionmentioning

confidence: 99%

Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field

Biswas¹,

Ghosh²,

Majumder³

2023

J. Phys.: Condens. Matter

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We have analytically explored the artificial magnetism for a 3-D spin-polarized harmonically trapped ideal Fermi gas of electrically neutral particles exposed to a uniform synthetic magnetic field. Though polarization of the spin is necessary for trapping electrically neutral atoms in a magneto-optical trap, Pauli paramagnetism can not be studied for the spin-polarized Fermi system. However, it is possible to study Landau diamagnetism and de Haas-van Alphen effect for such a system. We have unified the artificial Landau diamagnetism and the artificial de Haas-van Alphen effect in a single framework for all temperatures as well as for all possible magnitudes of the synthetic magnetic field in the thermodynamic limit. Our prediction is testable in the present-day experimental setup for ultracold fermionic atoms in magneto-optical trap.

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De Haas-van Alphen effect of a two-dimensional ultracold atomic gas

Cited by 7 publications

References 25 publications

Landau Quantization for Λ-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential

Landau Quantization for Λ-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential

de Haas-van Alphen oscillations for neutral atoms in electric fields

Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field

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