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Latin-American School of Physics XXXI ELAF : new perspectives on quantum mechanics, Mexico City, Mexico July-August 1998

Shahen Hacyan, Rocío Jáuregui, Ramón López–Peña

Published Jan 1, 1999• 3 citations

Abstract

This is the proceedings of the XXXI Latin-American School of Physics. The focus is on New Perspectives on Quantum Mechanics. During three weeks of the School, lectures from leading physicists aimed to present a general overview of the current state-of-the-art of quantum physics, both from a theoretical and an experimental perspective. The contributions of the first part deal with quantum optics, modern techniques for atom cooling by means of lasers, atomic and ion traps, the manipulation of atoms in microcavities, and Bose-Einstein condensation. The emphasis was on experimental techniques related to fundamental phenomena predicted by quantum mechanics. In the second part, we find new theoretical methods for the study of quantum mechanics, tomographic methods, and alternative interpretations of quantum mechanics. The final part is a collection of topics of quantum mechanics: mesoscopic systems, several mathematical techniques, and quantum chaos.

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This is the proceedings of the XXXI Latin-American School of Physics. The focus is on New Perspectives on Quantum Mechanics. During three weeks of the School, lectures from leading physicists aimed to present a general overview of the current state-of-the-art of quantum physics, both from a theoretical and an experimental perspective. The contributions of the first part deal with quantum optics, modern techniques for atom cooling by means of lasers, atomic and ion traps, the manipulation of atoms in microcavities, and Bose-Einstein condensation. The emphasis was on experimental techniques related to fundamental phenomena predicted by quantum mechanics. In the second part, we find new theoretical methods for the study of quantum mechanics, tomographic methods, and alternative interpretations of quantum mechanics. The final part is a collection of topics of quantum mechanics: mesoscopic systems, several mathematical techniques, and quantum chaos.

Modern studies of basic quantum concepts and phenomena, E.B. Karlsson and E. Brandas quantum entanglement - criteria and collective tests, A. Peres a gallery of quantum states -tomography of nonclassical light, J. Mlynek et al experimental and theoretical progress in interaction-free measurements, P.G. Kwia entanglement, mesoscopic superpositions and decoherence studies with atoms and photons in a cavity, S. Haroche quantum coherence with a single Cooper pair, V. Bouchiat et al mesoscopic physics and the fundamentals of quantum mechanics, Y. Imry decoherence, chaos, quantum-classical correspondence and the algorithmic arrow of time, W.H. Zurek quantum entanglement - a fundamental concept finding its applications, A. Zeilinger quantum communication in a quantum network, J.I. Cirac et al. (Part contents).

Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser trapping and cooling techniques allows us to observe the behavior of condensed bose and degenerate Fermi gases under nonequilibrium drive or after quenches' in which a Hamiltonian parameter is suddenly or slowly changed. On the solid state front, high intensity short-time pulses and fast (femtosecond) probes allow solids to be put into highly excited states and probed before relaxation and dissipation occur. Experimental developments are matched by progress in theoretical techniques ranging from exact solutions of strongly interacting nonequilibrium models to new approaches to nonequilibrium numerics. The summer school Strongly interacting quantum systems out of equilibrium' held at the Les Houches School of Physics as its XCIX session was designed to summarize this progress, lay out the open questions and define directions for future work. This books collects the lecture notes of the main courses given in this summer school.

This paper contributes to the proceedings of the Latin-American School of Physics (ELAF-2017) on Quantum Correlations, and is a brief review of quantum entanglement and nonlocality. In such a brief review, only some topics can be covered. The emphasis is on those topics relevant that may be relevant to detecting multi-particle quantum correlations arising in atomic and Bose-Einstein condensate (BEC) experiments. The paper is divided into five sections. In the first section, the historical papers of Einstein-Podolsky-Rosen (EPR), Bell, Schrodinger and Greenberger-Zeilinger-Horne (GHZ) are described in a tutorial fashion. This is followed by an introduction to entanglement and density operators. A discussion of the classes of nonlocality is given in the third section, including the modern interpretation of the correlations of the EPR paradox experiments, known as EPR steering correlations. The fourth section covers the detection and generation of so-called continuous variable entanglement and EPR steering. Various known criteria are derived with the details of the proofs given for tutorial purposes. The final section focuses on the criteria and methods that have been useful to detect quantum correlation in BEC or atomic systems. Recent results relating spin squeezing with quantum correlations, including entanglement and EPR steering, are summarised.

It is a surprise that a theory that seems to be in conflict with so much of the real world continues to serve as the underpinning for our understanding of that world. Quantum Mechanics has been with us in its present form since the mid-1920's, and still serves as one of the two basic frameworks on which all meaningful physical theories must rest. The question persists: Can quantum mechanics fail to predict phenomena we can observe with new precision, or does it possibly have limits on its applicability? Or is it an approximation to a more general theory? With the recent advances in experimental techniques and in theoretical thinking, it seemed appropriate to examine these questions anew through the mechanism of an informal conference. The idea for holding a workshop now came from the recent advances in both theoretical studies of quantum mechanics, and in the new classes of experiments that can provide new tests or improve significantly on old ones. The papers in these Proceedings are divided between theoretical studies and discussions of experiments. Most of the theoretical work describes the quantum mechanical analysis of new systems not hitherto analyzed. Half (or more) of the experimental papers describe new tests of the predictions of quantum theory, either by employing new precision on existing experiments or by exploring new ground.