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Quantum scars are enhancements of quantum probability density along classical periodic orbits. We study the recently discovered phenomenon of strong, perturbation-induced quantum scarring in the two-dimensional harmonic oscillator exposed…

Quantum Physics · Physics 2017-10-03 J. Keski-Rahkonen , P. J. J. Luukko , L. Kaplan , E. J. Heller , E. Räsänen

The quantum transmission problem for a particle moving in a quantum point contact in the presence of a Rashba spin-orbit interaction and applied magnetic field is solved semiclassically. A strong Rashba interaction and parallel magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Tommy Li

In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when…

Chaotic Dynamics · Physics 2009-11-11 D. A. Wisniacki , E. Vergini , R. M. Benito , F. Borondo

Quantum scars refer to eigenstates with enhanced probability density along unstable classical periodic orbits (POs). First predicted 40 years ago, scars are special eigenstates that counterintuitively defy ergodicity in quantum systems…

We present an extension of the dynamical cluster approximation (DCA) that incorporates Rashba spin-orbit coupling (SOC) to investigate the interplay between disorder, spin-orbit interaction, and nonlocal spatial correlations in disordered…

Disordered Systems and Neural Networks · Physics 2025-12-09 Yongtai Li , Gour Jana , Chinedu E. Ekuma

We discover and characterize strong quantum scars, or eigenstates resembling classical periodic orbits, in two-dimensional quantum wells perturbed by local impurities. These scars are not explained by ordinary scar theory, which would…

Quantum Physics · Physics 2016-03-07 Perttu J. J. Luukko , Byron Drury , Anna Klales , Lev Kaplan , Eric J. Heller , Esa Räsänen

We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system, employing a pedagogical approach based on a toy model. Quantum scars, originally identified as traces of classically…

Statistical Mechanics · Physics 2025-04-02 Sudip Sinha , S. Sinha

Unstable periodic orbits are known to originate scars on some eigenfunctions of classically chaotic systems through recurrences causing that some part of an initial distribution of quantum probability in its vicinity returns periodically…

Chaotic Dynamics · Physics 2010-08-17 F. Borondo , D. A. Wisniacki , E. G. Vergini , R. M. Benito

Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby energy eigenstates display enhancement structures resembling…

Quantum Physics · Physics 2015-06-26 R. Vilela Mendes

A quantum scar - an enhancement of a quantum probability density in the vicinity of a classical periodic orbit - is a fundamental phenomenon connecting quantum and classical mechanics. Here we demonstrate that some of the eigenstates of the…

Quantum Physics · Physics 2019-11-25 J. Keski-Rahkonen , A. Ruhanen , E. J. Heller , E. Räsänen

We theoretically propose a quantum scar affecting the motion of three interacting particles in a circular trap. We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable…

Quantum Physics · Physics 2026-04-14 D. J. Papoular , B. Zumer

We theoretically study the effect of spin-orbit coupling (SOC) on anomalous quantum oscillations in InAs/GaSb quantum wells. By comparing different cases, we show that SOC induces two opposing effects on anomalous quantum oscillations: it…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Xinlong Du , Chao Wang , Bo Ying , Juntao Song

We predict and numerically observe strong periodic orbit effects in the properties of open quantum systems with a chaotic classical limit. Antiscars lead to a large number of exponentially narrow resonances when the opening is located on a…

chao-dyn · Physics 2009-08-14 L. Kaplan

The suppression of chaos in quantum reality is evident in quantum scars, i.e., in enhanced probability densities along classical periodic orbits, providing opportunities in controlling quantum transport in nanoscale quantum systems. Here,…

Quantum Physics · Physics 2019-01-23 J. Keski-Rahkonen , P. J. J. Luukko , S. Åberg , E. Räsänen

A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic motions along the stable manifold of a saddle point of the…

Quantum Physics · Physics 2009-10-30 R. Vilela Mendes

Spin-orbit qubit (SOQ) is the dressed spin by the orbital degree of freedom through a strong spin-orbit coupling. We show that Coulomb interaction between two electrons in quantum dots located separately in two nanowires can efficiently…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Y. N. Fang , Yusuf Turek , J. Q. You , C. P. Sun

We uncover a remarkable quantum scattering phenomenon in two-dimensional Dirac material systems where the manifestations of both classically integrable and chaotic dynamics emerge simultaneously and are electrically controllable. The…

Quantum Physics · Physics 2018-03-28 Hong-Ya Xu , Guang-Lei Wang , Liang Huang , Ying-Cheng Lai

Quantum droplets have intrigued much attention recently in view of their successful observations in the ultracold homonuclear atoms. In this work, we demonstrate a new mechanism for the formation of quantum droplet in heteronuclear atomic…

Quantum Gases · Physics 2018-09-12 Xiaoling Cui

We describe the simultaneous effects of the spin-orbit (SO) perturbation and a magnetic field $B$ on a disk shaped quantum dot (QD). {As it is known the} combination of electrostatic forces among the $N$ electrons confined in the QD and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Bellucci , P. Onorato

Quantum interference effects in rings provide suitable means for controlling spin at mesoscopic scales. Here we apply such control mechanisms to coherent spin-dependent transport in one- and two-dimensional rings subject to Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Diego Frustaglia , Klaus Richter
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