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The integer quantum Hall effect (IQHE) and chaos are commonly conceived as being unrelated. Contrary to common wisdoms, we find in a canonical chaotic system, the kicked spin-$1/2$ rotor, a Planck's quantum($h_e$)-driven phenomenon bearing…

混沌动力学 · 物理学 2014-11-25 Yu Chen , Chushun Tian

The quantum-classical correspondence for dynamics of the nonlinear classically chaotic systems is analysed. The problem of quantum chaos consists of two parts: the quasiclassical quantisation of the chaotic systems and attempts to…

量子物理 · 物理学 2008-02-03 B. Kaulakys

The gravitational field is usually neglected in the calculation of atomic energy levels as its effect is much weaker than the electromagnetic field, but that is not the case for a particle orbiting a black hole. In this work, the canonical…

广义相对论与量子宇宙学 · 物理学 2020-12-24 David Senjaya , Alejandro Saiz Rivera

Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

介观与纳米尺度物理 · 物理学 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

The average electron spin-polarization $\cal P$ of two-dimensional electron gas confined in $\rm GaAs/GaAlAs$ multiple quantum-wells was measured by nuclear magnetic resonance (NMR) near the fractional quantum Hall state with filling factor…

介观与纳米尺度物理 · 物理学 2019-08-17 N. Freytag , Y. Tokunaga , M. Horvatic , C. Berthier , M. Shayegan , L. Levy

We show how dipolar interactions between dysprosium atoms in an optical lattice can be used to obtain fractional quantum Hall states. In our approach, dysprosium atoms are trapped one atom per site in a deep optical lattice with negligible…

We study the existence of homoclinic orbit and the onset of chaotic motion for a massive particle moving around a Schwarzschild-like black hole embedded in a Dehnen-(1,4,5/2) type dark matter halo, within the extreme-mass-ratio limit…

广义相对论与量子宇宙学 · 物理学 2026-05-29 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai

The scattering of exotic quasiparticles may follow different rules than electrons. In the fractional quantum Hall regime, a quantum point contact (QPC) provides a source of quasiparticles with field effect selectable charges and statistics,…

介观与纳米尺度物理 · 物理学 2024-07-26 P. Glidic , O. Maillet , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , A. Anthore , F. Pierre

Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations. It is well known that, when applying these…

chao-dyn · 物理学 2009-10-31 T. Bartsch , J. Main , G. Wunner

We investigate the transition from regular to chaotic motion in a composite galaxy model with a disk-halo, a massive dense nucleus and a dark halo component. We obtain relationships connecting the critical value of the mass of the nucleus…

星系天体物理 · 物理学 2015-06-11 Nicolaos D. Caranicolas , Euaggelos E. Zotos

Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle…

强关联电子 · 物理学 2009-11-13 Chetan Nayak , Steven H. Simon , Ady Stern , Michael Freedman , Sankar Das Sarma

Recently probabilistic hysteresis in isolated Hamiltonian systems of ultracold atoms has been studied in the limit of large particle numbers, where a semiclassical treatment is adequate. The origin of irreversibility in these sweep…

量子物理 · 物理学 2020-05-20 Ralf Bürkle , James R. Anglin

Using photoluminescence microscopy enhanced by MRI, we visualize in real space both electron and nuclear polarization occurring in non-equilibrium FQH liquids. We observe stripe-like regions comprising FQH excited states which discretely…

介观与纳米尺度物理 · 物理学 2017-02-22 John N. Moore , Junichiro Hayakawa , Takaaki Mano , Takeshi Noda , Go Yusa

The emergence of a collective behavior in a many-body system is responsible of the quantum criticality separating different phases of matter. Interacting spin systems in a magnetic field offer a tantalizing opportunity to test different…

量子物理 · 物理学 2023-02-17 Michele Grossi , Oriel Kiss , Francesco De Luca , Carlo Zollo , Ian Gremese , Antonio Mandarino

Quasi-integrable Hamiltonian systems are of great interest in many research fields of physics and mathematics. In these systems, the phase space has regular and chaotic trajectories. These trajectories depend in part on the magnitude of…

等离子体物理 · 物理学 2014-04-14 Vilarbo da Silva , Alexsandro M. Carvalho

We study nonequilibrium transport through a charge Kondo device realizing the two-channel Kondo critical point in a recent experiment by Iftikhar et al. By computing the current and shot noise at low voltages near the critical point, we…

介观与纳米尺度物理 · 物理学 2018-05-09 L. A. Landau , E. Cornfeld , E. Sela

We develop a formalism to describe quasihole condensates in quantum Hall liquids and thereby extend the conformal field theory approach to the full hierarchy of spin-polarized Abelian states, and to several classes of non-Abelian…

强关联电子 · 物理学 2013-05-29 J. Suorsa , S. Viefers , T. H. Hansson

From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than the one of…

强关联电子 · 物理学 2018-04-20 Anne E. B. Nielsen , Ivan Glasser , Ivan D. Rodriguez

In a quantum revival, a localized wavepacket re-forms or "revives" into a compact reincarnation of itself long after it has spread in an unruly fashion over a region restricted only by the potential energy. This is a purely quantum…

其他凝聚态物理 · 物理学 2015-05-13 Zhexian Wang , Eric J. Heller

One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have…

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