Strong Coupling of the Cyclotron Motion of Surface Electrons on Liquid Helium to a Microwave Cavity

Abdurakhimov, L. V.; Yamashiro, R.; Badrutdinov, A. O.; Konstantinov, Denis

doi:10.1103/physrevlett.117.056803

Cited by 12 publications

(16 citation statements)

References 38 publications

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“…For a given direction of circular polarization, strong CR absorption should occur only for the proper direction of the magnetic field and should be strongly suppressed for the opposite direction. As was demonstrated earlier [19], for a resonator of sufficiently high quality factor the strong coupling of cyclotron motion of electrons to the resonator mode leads to the appearance of two polaritonic branches of coupled electron-mode motion. This is shown in Fig.…”

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confidence: 80%

Circular-Polarization-Dependent Study of Microwave-Induced Conductivity Oscillations in a Two-Dimensional Electron Gas on Liquid Helium

2018

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The polarization dependence of photoconductivity response at cyclotron-resonance harmonics in a nondegenerate two-dimensional (2D) electron system formed on the surface of liquid helium is studied using a setup in which a circular polarization of opposite directions can be produced. Contrary to the results of similar investigations reported for semiconductor 2D electron systems, for electrons on liquid helium, a strong dependence of the amplitude of magnetoconductivity oscillations on the direction of circular polarization is observed. This observation is in accordance with theoretical models based on photon-assisted scattering and, therefore, it solves a critical issue in the dispute over the origin of microwave-induced conductivity oscillations.PACS numbers: 73.63.Hs, 78.20.Ls, Studies of microwave (MW) photoconductivity in a two-dimensional (2D) electron gas of semiconductor heterostructures subjected to a perpendicular magnetic field B have revealed remarkable magnetotransport phenomena: giant microwave-induced resistance oscillations (MIRO) [1,2] and associated zero resistance states (ZRS) [3,4]. These discoveries have opened a prominent research area and triggered a large body of theoretical works. The universality of the effect of MIRO was proved by similar observations in hole systems [5] and in a nondegenerate 2D electron system formed on the free surface of liquid helium [6].It is very surprising that by now there is a great body of different theoretical mechanisms explaining MIRO which use quantum and classical effects (for a review, see [7]), but the origin of these oscillations is still under debate. Among these mechanisms there is a large group of models whose description is based on the concept of the photonassisted scattering off disorder which overcomes the selection rules existing for direct photon-induced transitions; direct transitions can be only between adjacent Landau levels: n ′ − n = ±1 . The photon-assisted scattering leads to two important effects. Firstly, it gives a separate contribution to magnetoconductivity σ xx where the displacement of the electron orbit center X ′ − X caused by energy conservation changes its sign when the ratio ω/ω c passes an integer m = n ′ − n = 1, 2, ... (here ω is the MW frequency and ω c is the cyclotron frequency) [8,9]. This mechanism is called the displacement model (DM).Secondly, electron scattering to higher Landau levels (n ′ − n = 2, 3...) changes the distribution function of electrons at these levels f (ε): it acquires an oscillatory form with maxima, and, therefore, a sort of population inversion occurs [10,11]. This mechanism is called the inelastic model (IM) because the inelastic thermalization rate is an important quantity for the description of the effect. The maxima of f (ε) affect the contribution to σ xx caused by usual scattering processes and also lead to a sign-changing correction to σ xx .Both theoretical models (DM and IM) give satisfactory descriptions of MIRO in semiconductor electron systems. Still, there is a critical unresolve...

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confidence: 80%

Circular-Polarization-Dependent Study of Microwave-Induced Conductivity Oscillations in a Two-Dimensional Electron Gas on Liquid Helium

2018

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“…The transition from quantum micro-state to classical macrostate events seems to depend upon the number of quantum particles as they interact with electromagnetic waves [60]. Large numbers of electrons at the temperature of liquid helium transferred to a cavity containing electromagnetic waves exhibited "strong couplings" in which changes in electromagnetic wave frequency and electron behavior consistent with the classical rather than quantum world were present.…”

Section: A Hierarchical Classification Of Random Genetic Change Suppmentioning

confidence: 99%

“…Seemingly another restatement of the "law of large numbers" [8,30]. Introduction of non-linearity with a "quibit" could reverse the system to a quantum state [60].…”

Section: A Hierarchical Classification Of Random Genetic Change Suppmentioning

confidence: 99%

The intersection of chance with determinism: definitions and an application

Anderson¹,

Rubenstein²,

Patel³

2016

J Cancer Ther Res

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It is commonly understood that given sufficient information as to details, the occurrence of a deterministic event is predictable and reproducible within the experimental error. An identified precursor, stimulus (or stimuli en train) results in an expected outcome. As defined in standard dictionaries, a "cause" produces an effect. However, the idea of causation is not a simple concept, at times confused with correlation, generally to be distinguished

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“…Indeed, one could argue on a general basis that the transition line between the quantum and classical worlds is rather diffuse. For instance, it has been shown very recently 1 that strong coupling in light-matter interaction with large amounts of particles, a phenomena that was previously thought to be of quantum nature, could be explained classically. One may also recall that there have been attempts to describe the phenomenon of supersolidity in the classical mechanical hydrodynamics 2 .…”

Section: Introductionmentioning

confidence: 99%

Coexisting crystal and liquid-like properties in a 2D long-range self-consistent model

Maciel¹,

Amato²,

Firpo³

2018

Sci Rep

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A two-dimensional class of mean-field models serving as a minimal frame to study long-range interaction in two space dimensions is considered. In the case of an anisotropic mixed attractive-repulsive interaction, an initially spatially homogeneous cold fluid is dynamically unstable and evolves towards a quasi-stationary state in which the less energetic particles get trapped into clusters forming a Bravais-like lattice, mimicking a crystalline state. Superimposed to this, one observes in symplectic numerical simulations a flux of slightly more energetic particles channeling through this crystalline background. The resultant system combines the rigidity features of a solid, as particles from a displaced core are shown to snap back into place after a transient, and the dynamical diffusive features of a liquid for the fraction of channeling and free particles. The combination of solid and liquid properties is numerically observed here within the classical context. The quantum transposition of the model may be experimentally reached using the latest ultracold atoms techniques to generate long-range interactions.

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Strong Coupling of the Cyclotron Motion of Surface Electrons on Liquid Helium to a Microwave Cavity

Cited by 12 publications

References 38 publications

Circular-Polarization-Dependent Study of Microwave-Induced Conductivity Oscillations in a Two-Dimensional Electron Gas on Liquid Helium

Circular-Polarization-Dependent Study of Microwave-Induced Conductivity Oscillations in a Two-Dimensional Electron Gas on Liquid Helium

The intersection of chance with determinism: definitions and an application

Coexisting crystal and liquid-like properties in a 2D long-range self-consistent model

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