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We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

In this paper, we revisit some quantum mechanical aspects related to the Quantum Hall Effect. We consider a Landau type model, paying a special attention to the experimental and geometrical features of Quantum Hall experiments. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

We investigate the entanglement features in the interacting system of a quantized optical field and a two-level system which is statically driven, known as the asymmetric quantum Rabi model (AsymQRM). Intriguing entanglement resonance…

Quantum Physics · Physics 2022-07-12 Yu-Qing Shi , Lei Cong , Hans-Peter Eckle

Recent studies on cavity-coupled two-dimensional electron gas demonstrate that vacuum-field engineering can tailor electronic transport properties of materials. By achieving ultra-strong coupling between a terahertz resonator and mesoscopic…

We report the first experimental observation of magnetic-field-induced quantized charge accumulation in a quantum anomalous Hall (QAH) system -- a phenomenon originating from the intrinsic two-dimensional surface state and fundamentally…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Yuanze Li , Jiahao Chen , Renfei Wang , Yifan Zhang , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

The interaction of a light field with a quantum-mechanical system can be studied in an optically controlled semiconductor quantum dot. When driven by a continuous light field switched on instantaneously, the quantum dot occupation performs…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 D. E. Reiter

We present a quantized model of harmonically confined dot atom with inherent damping in the presence of a transverse magnetic field. The model leads to a non hermitian Hamiltonian in real coordinate. We have analytically studied the effects…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Madhuri Mukhopadhyay , Ram Kuntal Hazra , Manas Ghosh , S. Mukherjee , S. P. Bhattacharyya

Landau quantization associated with the quantized cyclotron motion of electrons under magnetic field provides the effective way to investigate topologically protected quantum states with entangled degrees of freedom and multiple quantum…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Zihao Huang , Guoyu Xian , Xiangbo Xiao , Xianghe Han , Guojian Qian , Chengmin Shen , Haitao Yang , Hui Chen , Banggui Liu , Ziqiang Wang , Hong-Jun Gao

A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction…

Condensed Matter · Physics 2007-05-23 R. K. Bhaduri , Shuxi Li , Kaori Tanakaa , J. C. Waddington

Adaptive data collection and analysis, where data are being fed back to update the measurement settings, can greatly increase speed, precision, and reliability of the characterization of quantum systems. However, decoherence tends to make…

Quantum Physics · Physics 2016-02-03 Markku P. V. Stenberg , Oliver Köhn , Frank K. Wilhelm

Recent experiments on Josephson junction qubits have suggested the existence in the tunnel barrier of bistable two level fluctuators that are responsible for decoherence and 1/f critical current noise. In this article we treat these…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ren-Shou Huang , Viatcheslav Dobrovitski , Bruce Harmon

We investigate the behavior of a circuit QED device when the resonator is initially populated with a mesoscopic coherent field. The strong coupling between the cavity and the qubit produces an entangled state involving mesoscopic…

Quantum Physics · Physics 2008-04-16 Valentin Bonzom , Hichem Bouzidi , Pascal Degiovanni

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

Quantum Physics · Physics 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

Continuous weak or fuzzy measurement of the Rabi oscillation of a two level atom subjected to a $\pi-$pulse of a resonant light field is simulated numerically. We thereby address the question whether it is possible to measure characteristic…

Quantum Physics · Physics 2007-05-23 J. Audretsch , Th. Konrad , M. Mensky

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 D. -H. -Minh Nguyen , Koji Kobayashi , Jan-Erik R. Wichmann , Kentaro Nomura

We consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a circle where the momenta of the particles are restricted and…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 E. J. Bergholtz , A. Karlhede

We analyze density profiles for atomic quantum Hall states, which are expected to form in systems of rotating cold atoms in the high-rotation limit. For a two-dimensional (single-layer) system we predict a density landscape showing plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. R. Cooper , F. J. M. van Lankvelt , J. W. Reijnders , K. Schoutens

Vacuum Rabi splitting relies on symmetrical splitting of the common resonance frequency of atoms and the cavity in which the atoms reside. In this work, we argue that vacuum Rabi splitting is a manifestation of virtual light-matter two-mode…

Quantum Physics · Physics 2024-03-20 Karol Gietka

We report on a comparison of four GaAs/AlGaAs-based quantum resistance standards using an original technique adapted from the well-known Wheatstone bridge. This work shows that the quantized Hall resistance at Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Félicien Schopfer , Wilfrid Poirier