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In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matilde Marcolli , Varghese Mathai

We report on an effective gauge theory of double-layer quantum Hall systems, that is constructed via bosonization from the response of incompressible states without referring to composite bosons and fermions. It is pointed out that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Shizuya

We define and calculate the mass multipole moments of a material body of mass $M$ and electric charge $Q$ tidally deformed by a particle of mass $m \ll M$ and charge $q \ll Q$ placed at a distance $r_0$ from the body. Given $Q/M$ and $r_0$,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Victoria Leaker , Tristan Pitre , Eric Poisson

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann

Many-body physics describes phenomena which cannot be understood looking at a systems' constituents alone. Striking manifestations are broken symmetry, phase transitions, and collective excitations. Understanding how such collective…

Correlation among particles in finite quantum systems leads to complex behaviour and novel states of matter. One remarkable example is predicted to occur in a semiconductor quantum dot (QD) where at vanishing density the Coulomb correlation…

We present an ab initio study of core excitations of solid-state materials focussing on the role of electron-hole correlation. In the framework of an all-electron implementation of many-body perturbation theory into the exciting code, we…

Materials Science · Physics 2017-04-21 Christian Vorwerk , Caterina Cocchi , Claudia Draxl

We study many-body quantum geometric effects in time-dependent system with emergent quantum integrable field theory instantaneously. We establish a theorem stating that the Berry connection matrix thus all associated geometric quantities of…

Strongly Correlated Electrons · Physics 2025-11-14 Xiao Wang , Xiaodong He , Jianda Wu

We study a generic cavity-QED system where a set of (artificial) two-level dipoles is coupled to the electric field of a single-mode LC resonator. This setup is used to derive a minimal quantum mechanical model for cavity QED, which…

Quantum Physics · Physics 2018-04-19 Daniele De Bernardis , Tuomas Jaako , Peter Rabl

A central open problem in quantum gravity is to understand how continuum spacetime emerges from quantum-geometric degrees of freedom in a background-independent setting. A many-body perspective suggests that spacetime emerges as a…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Andrea Calcinari , Adrià Delhom , Daniele Oriti

Here we present a quantum electrodynamics (QED) model involving a large-detuned single-mode cavity field and $n$ identical two-level atoms. One of its applications for the preparation of the multi-particle states is analyzed. In addition to…

Quantum Physics · Physics 2009-11-07 Guo-Ping Guo , Chuan-Feng Li , Jian Li , Guang-Can Guo

Quantum dot (QD) assemblies are nanostructured networks made from aggregates of QDs and feature improved charge and energy transfer efficiencies compared to discrete QDs. Using first-principles many-body perturbation theory, we…

Materials Science · Physics 2022-10-25 Sandip Aryal , Joseph Frimpong , Zhen-Fei Liu

We present here a complete microscopic theory of a family of neutral excitations in the fractional quantum Hall fluids, related to the geometric fluctuations of the quantum Hall ground states. Many of the physical properties of such…

Strongly Correlated Electrons · Physics 2024-11-11 Bo Yang

The geometric description of open quantum systems via the Quantum Geometric Tensor (QGT) traditionally relies on the assumption that the physical states form a differentiable vector bundle over the parameter manifold. This framework becomes…

Mathematical Physics · Physics 2025-12-23 Prasoon Saurabh

We simulate the time-dependent coherent dynamics of a spatially indirect exciton (an electron-hole pair with the two particles confined in different layers) in a GaAs coupled quantum well system. We use a unitary wave-packet propagation…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Federico Grasselli , Andrea Bertoni , Guido Goldoni

We substantiate a complete picture of the "bulk-edge correspondence" conjecture for topological phases. By studying the eigenstates in the entanglement spectrum for both the ideal and realistic Coulomb ground state of the fractional quantum…

Strongly Correlated Electrons · Physics 2019-01-29 Bin Yan , Rudro R. Biswas , Chris H. Greene

Quantum Hall systems host quasiparticles demonstrating correlated electron physics and non-trivial quantum statistics. Excitonic phases, archetypical for interaction effect, have attracted significant interest in recent years in…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Rui Pu , Naomi Mizuno , Fernando Camino , Runchen Li , Kenji Watanabe , Takashi Taniguchi , Dmitri Averin , Xu Du

Studies of energy flow in quantum systems complement the information provided by common conductance measurements. The quantum limit of heat flow in one dimensional (1D) ballistic modes was predicted, and experimentally demonstrated, to have…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Amir Rosenblatt , Sofia Konyzheva , Fabien Lafont , Noam Schiller , Jinhong Park , Kyrylo Snizhko , Moty Heiblum , Yuval Oreg , Vladimir Umansky

We introduce a quench of the geometry of Landau level orbitals as a probe of nonequilibrium dynamics of fractional quantum Hall (FQH) states. We show that such geometric quenches induce coherent many-body dynamics of neutral degrees of…

Strongly Correlated Electrons · Physics 2018-10-29 Zhao Liu , Andrey Gromov , Zlatko Papić

A topological phase can often be represented by a corresponding wavefunction (exact eigenstate of a model Hamiltonian) that has a higher underlying symmetry than necessary. When the symmetry is explicitly broken in the Hamiltonian, the…

Strongly Correlated Electrons · Physics 2014-02-03 Rui-Zhi Qiu , Zi-Xiang Hu , Xin Wan