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The purpose of this text is to set up a few basic notions concerning quantum graphs, to indicate some areas addressed in the quantum graph research, and to provide some pointers to the literature. The pointers in many cases are secondary,…

Mathematical Physics · Physics 2012-06-20 Peter Kuchment

Strongly correlated quantum systems in low dimensions often exhibit novel quantum ordering. This ordering is sometimes hidden and can be revealed only by examining new `dual' types of correlations. Such ordering leads to novel collective…

Strongly Correlated Electrons · Physics 2009-10-30 Steven M. Girvin

The goal of this article is to provide an overview of the current state of the art in loop quantum cosmology for three sets of audiences: young researchers interested in entering this area; the quantum gravity community in general; and,…

General Relativity and Quantum Cosmology · Physics 2011-09-23 Abhay Ashtekar , Parampreet Singh

This is a brief introduction to quantum aspects of black holes, addressed at an astrophysics-oriented audience. The topics are: The laws of black-hole mechanics, Hawking radiation, interpretation of entropy, and primordial black holes.

Astrophysics · Physics 2007-05-23 Claus Kiefer

This introductory text on the basics of quantum mechanics is intended to serve as a kind of travel guide through the quantum world. It starts by asking whether quantum physics is important, or weird, or incomprehensible. It explains why…

Popular Physics · Physics 2024-08-19 Joachim Stolze

This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the physical realizability properties of the approximate…

Systems and Control · Computer Science 2011-07-29 Ian R. Petersen

The experimental shock wave, discovery in quantum systems is the important one through last years. This effect has several phenomenological explanations. It seems to us there is interesting, especially from the systematical point of view,…

Quantum Physics · Physics 2017-02-03 Evgeny Perepelkin , Boris Sadovnikov , Natalia Inozemtseva

Extra-dimensions are a common topic in popular descriptions of theoretical physics with which undergraduate student most often have no contact in physics courses. This paper shows how students could be introduced to this topic by presenting…

General Physics · Physics 2017-02-02 Nicolas Deutschmann

Precise definitions for different degrees of controllability for quantum systems are given, and necessary and sufficient conditions are discussed. The results are applied to determine the degree of controllability for various atomic systems…

Quantum Physics · Physics 2009-11-07 S. G. Schirmer , J. V. Leahy , A. I. Solomon

This is an extended and corrected version of lecture notes originally written for a one semester course at Leibniz University Hannover. The main aim of the notes is to give an introduction to the mathematical methods used in describing…

Mathematical Physics · Physics 2017-04-20 Pieter Naaijkens

"Quantum sensing" describes the use of a quantum system, quantum properties or quantum phenomena to perform a measurement of a physical quantity. Historical examples of quantum sensors include magnetometers based on superconducting quantum…

Quantum Physics · Physics 2017-08-31 C. L. Degen , F. Reinhard , P. Cappellaro

A geometric framework for describing quantum particles on a possibly curved background is proposed. Natural constructions on certain distributional bundles (`quantum bundles') over the spacetime manifold yield a quantum ``formalism'' along…

Mathematical Physics · Physics 2007-05-23 Daniel Canarutto

I provide an introduction to quantum computers, describing how they might be realized using language accessible to a solid state physicist. A listing of the minimal requirements for creating a quantum computer is given. I also discuss…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 David P. DiVincenzo

A one-dimensional quantum simulator can simulate two-dimensional quantum many-body systems. A representation of a low-energy state is obtained by applying a feedback loop.

Quantum Physics · Physics 2017-03-02 Isaac H. Kim

This paper is a pedagogical yet critical introduction to the quantum description of unstable systems, mostly at the level of a graduate quantum mechanics course. Quantum decays appear in many different fields of physics, and their…

Quantum Physics · Physics 2019-01-30 Charis Anastopoulos

We present a comprehensive review of the theoretical and experimental progress in the investigation of novel high-temperature quantum chromodynamics phenomena in small systems at both the Relativistic Heavy Ion Collider and the Large Hadron…

Nuclear Theory · Physics 2024-06-13 Jorge Noronha , Björn Schenke , Chun Shen , Wenbin Zhao

We provide a compilation of metallic systems in which a low-temperature ferromagnetic or similar transition is observed. Our objective is to demonstrate the universal first-order nature of such transitions in clean systems in two or three…

Strongly Correlated Electrons · Physics 2012-04-05 D. Belitz , T. R. Kirkpatrick

Ultralight dark matter is a hypothetical class of particle with a number of interesting theoretical and experimental properties, many of which are best understood by direct analogy with or application of undergraduate physics. We present a…

High Energy Physics - Phenomenology · Physics 2026-03-17 Timothy D. Wiser

Quantum mechanics is a field often considered very mathematical, abstract, and unintuitive. One way some instructors are hoping to help familiarize their students with these complex topics is to have the students see quantum effects in…

Physics Education · Physics 2023-10-19 Victoria Borish , H. J. Lewandowski

The purpose of this brief note is that of discussing the meaning of the uncertainty relations involving energy and time in quantum mechanics by means of a reading of the classical works on the subject. This was written for undergraduate…

Physics Education · Physics 2007-05-23 Gaston Giribet