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Symmetric quantum states are fascinating objects. They correspond to multipartite systems that remain invariant under particle permutations. This symmetry is reflected in their compact mathematical characterisation but also in their unique…

Quantum Physics · Physics 2025-07-15 Carlo Marconi , Guillem Müller-Rigat , Jordi Romero-Pallejà , Jordi Tura , Anna Sanpera

Every quantum state can be represented as a probability distribution over the outcomes of an informationally complete measurement. But not all probability distributions correspond to quantum states. Quantum state space may thus be thought…

Quantum Physics · Physics 2011-02-14 D. M. Appleby , Asa Ericsson , Christopher A. Fuchs

Investigation of states with a periodic time dependence of physical quantities attracts a considerable interest now. Although it has been proposed initially that such states (coined Quantum Time Crystals) might be macroscopic and…

Strongly Correlated Electrons · Physics 2019-11-07 Konstantin B. Efetov

The many-body state of carriers confined in a quantum dot is controlled by the balance between their kinetic energy and their Coulomb correlation. In coupled quantum dots, both can be tuned by varying the inter-dot tunneling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Filippo Troiani , Ulrich Hohenester , Elisa Molinari

A scenario is outlined for quantum measurement, assuming that self-sustaining classicality is the consequence of an attractive gravitational self-interaction acting on massive bodies, and randomness arises already in the classical domain. A…

Quantum Physics · Physics 2007-05-23 Tamás Geszti

We present here an overview of our work concerning entanglement properties of composite quantum systems. The characterization of entanglement, i.e. the possibility to assert if a given quantum state is entangled with others and how much…

Quantum Physics · Physics 2007-05-23 K. Eckert , O. Gühne , F. Hulpke , P. Hyllus , J. Korbicz , J. Mompart , D. Bruß , M. Lewenstein , A. Sanpera

The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors. They underlie the Jones polynomial and arise in Witten-Chern-Simons…

Quantum Physics · Physics 2007-05-23 Michael H. Freedman , Alexei Kitaev , Michael J. Larsen , Zhenghan Wang

Real numbers provide a sufficient description of classical physics and all measurable phenomena; however, complex numbers are occasionally utilized as a convenient mathematical tool to aid our calculations. On the other hand, the formalism…

Quantum Physics · Physics 2023-09-01 Matthew Albert , Xiaoyi Bao , Liang Chen

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

We perform Hartree-Fock calculations to show that quantum dots (i.e. two dimensional systems of up to twenty interacting electrons in an external parabolic potential) undergo a gradual transition to a spin-polarized Wigner crystal with…

Condensed Matter · Physics 2009-10-28 H. -M. Muller , S. E. Koonin

The mesoscopic fluctuations of the absorption at optical transitions from a low energy regular state to high energy chaotic states in an aggregate of semiconductor quantum dots is studied. We provide a universal dependence of the…

Condensed Matter · Physics 2009-10-28 Nobuhiko Taniguchi , Vladimir N. Prigodin

We study the system consisted of two electrons in a quantum dot with a three-dimensional harmonic confinement potential under the effect of a magnetic field. Specifically, two different confinement conditions are considered, one isotropic…

Strongly Correlated Electrons · Physics 2020-08-26 A. M. Maniero , C. R. de Carvalho , F. V. Prudente , Ginette Jalbert

Quantum dots are fabricated in a Ga[Al]As-heterostructure by local oxidation with an atomic force microscope. This technique, in combination with top gate voltages, allows us to generate steep walls at the confining edges and small lateral…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Fuhrer , S. Luescher , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

The zero point field is an ordinary field existing in the dark, which cannot be separated from the total electromagnetic field in an excited mode. The total field is in equilibrium with matter that it polarizes temporarily and reversibly.…

Quantum Physics · Physics 2009-09-29 Jacques Moret-Bailly

Quantum droplets are dilute self-bound configurations of bosons that result from the balance between a mean-field attraction and a repulsion induced by quantum fluctuations. Such droplets have been successfully realized in cold atomic gases…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Matteo Caldara , Olivier Bleu , Francesca Maria Marchetti , Jesper Levinsen , Meera M. Parish

Essential elements of quantum theory are derived from an epistemic point of view, i.e., the viewpoint that thetheory has to do with what can be said about nature. This gives a relationship to statistical reasoning and to other areas of…

Quantum Physics · Physics 2023-10-30 Inge S. Helland

Static properties of an anharmonic potential model for planar two-electron quantum dots are investigated using a method which allows for the exact representation of the matrix elements, including the full Coulombic electron - electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Sebastian Schröter , Paul-Antoine Hervieux , Giovanni Manfredi , Johannes Eiglsperger , Javier Madroñero

A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived, and are used to establish the existence of phase transitions…

Quantum Physics · Physics 2007-06-13 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

We study the effect of mesoscopic fluctuations on the magnitude of errors that can occur in exchange operations on quantum dot spin-qubits. Mid-size double quantum dots, with an odd number of electrons in the range of a few tens in each…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Serguei Vorojtsov , Eduardo R. Mucciolo , Harold U. Baranger

Achieving control over the electron spin in quantum dots (artificial atoms) or real atoms promises access to new technologies in conventional and in quantum information processing. Here we review our proposal for quantum computing with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Vitaly N. Golovach , Daniel Loss