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Clean topological insulators exposed to a magnetic field develop Landau levels accompanied by a nonzero Hall conductivity for the infinite slab geometry. In this work we consider the case of disordered topological insulator nanowires and…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Emmanouil Xypakis , Jens H. Bardarson

The low-field quantum Hall effect is investigated on a two-dimensional electron system in an AlGaAs/GaAs heterostructure. Magneto-oscillations following the semiclassical Shubnikov-de Haas formula are observed even when the emergence of the…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. R. Hang , C. F. Huang , K. A. Cheng

We map a quantum Rabi ring, consisting of $N$ cavities arranged in a ring geometry, into an effective magnetic model containing the XY exchange and the Dzyaloshinskii Moriya (DM) interactions. The analogue of the latter is induced by an…

Quantum Physics · Physics 2022-10-27 Diego Fallas Padilla , Han Pu , Guo-Jing Cheng , Yu-Yu Zhang

A scanning probe technique was used to obtain a high-resolution map of the random electrostatic potential inside the quantum Hall liquid. A sharp metal tip, scanned above a semiconductor surface, sensed charges in an embedded…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Finkelstein , P. I. Glicofridis , R. C. Ashoori , M. Shayegan

Two models are first presented, of one-dimensional discrete-time quantum walk (DTQW) with temporal noise on the internal degree of freedom (i.e., the coin): (i) a model with both a coin-flip and a phase-flip channel, and (ii) a model with…

We study two models describing the interaction of a two-level system with two quantum field modes. The first one is equivalent to a dissipative two-state system with just two boson fields in the absence of tunneling. The second describes…

Quantum Physics · Physics 2015-12-18 S. A. Chilingaryan , B. M. Rodríguez-Lara

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

We study the quantum Rabi model (QRM) in the deep strong coupling (DSC) regime. To capture the full dynamics of the QRM in the DSC regime, we implemented single-qubit rotations combined with integrated digital steps and qubit-bosonic…

Quantum Physics · Physics 2026-01-06 Noureddine Rochdi , Rachid Ahl Laamara , Mohamed Bennai

By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

Near-resonant ac-drive acting on a two-level system induces the Rabi oscillations of the level occupations. It is shown that additional weak drive properly frequency-detuned from the primary drive causes a resonant response. This response…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 M. E. Raikh

The exact diagonalization technique is used to study many-particle properties of interacting electrons with spin, confined in a two-dimensional harmonic potential. The single-particle basis is limited to the lowest Landau level. The results…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Koskinen , S. M. Reimann , J. -P. Nikkarila , M. Manninen

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors $\nu $ away from $1/2\beta$ $\beta$ an integer. The theory is in terms of quasiparticles which carry a charge $e^{\ast}$ equal to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Pasquier

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain the desired phase of quantum coherent oscillations in a two-level system. Such feedback can suppress the dephasing of oscillations due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rusko Ruskov , Alexander N. Korotkov

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

Deconfined quantum critical points (DQCPs) represent an unconventional class of quantum criticality beyond the Landau-Ginzburg-Wilson-Fisher paradigm. Nevertheless, both their theoretical identification and experimental realization remain…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Guangyu Yu , Tao Xiang , Zheng Zhu

In this paper we consider a general model of an atom with n energy levels interacting with n-1 external (laser) fields which is a natural extension in the two and three level systems. We exactly solve the Schr{\" o}dinger equation to obtain…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii , Kyoko Higashida , Ryosuke Kato , Yukako Wada

The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We…

Quantum Physics · Physics 2014-02-26 E. K. Irish , J. Gea-Banacloche

We have investigated vacuum Rabi oscillation of an atom coupled with single-mode cavity field exactly, and compared the results with that of J-C model. The results show that, there is damping Rabi oscillation for an atom, even in strong…

Quantum Physics · Physics 2009-11-13 Fa-Qiang Wang , Wei-Ci Liu , Rui-Sheng Liang

We study the charge transport of the noninteracting electron gas in a two-dimensional quantum Hall system with Anderson-type impurities at zero temperature. We prove that there exist localized states of the bulk order in the…

Mathematical Physics · Physics 2009-11-11 Tohru Koma

Recent experiments on Coulomb drag in the quantum Hall regime have yielded a number of surprises. The most striking observations are that the Coulomb drag can become negative in high Landau levels and that its temperature dependence is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , F. von Oppen
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