Correlations In Low Dimensional Quantum Gases
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Correlations In Low Dimensional Quantum Gases
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Author : Guillaume Lang
language : en
Publisher: Springer
Release Date : 2018-12-29
Correlations In Low Dimensional Quantum Gases written by Guillaume Lang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-29 with Science categories.
The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.
One Dimensional Quantum Gases
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Author : John Goold
language : en
Publisher:
Release Date : 2010
One Dimensional Quantum Gases written by John Goold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Physics categories.
Low dimensional quantum gases have rapidly evolved from a being a solely theoretical concept towards being experimentally accessible systems in the laboratories. Since restricted geometry are known to introduce strong correlations, these systems show very involved and interesting physics while still being largely analytically treatable. In this thesis, one dimensional two-body and many-body were studied. The two particle models serve as ideal test beds for ideas in entanglement theory. Entanglement is not only one of the defining characteristics of quantum mechanics but it is also at the heart of many current quantum information processing protocols. The analytic accessibility of the realistic dimer models makes them ideal systems for testing such ideas. I describe how different types of entanglement may arise in such models and outline detection and quantification techniques. The ground state properties and correlation functions of a Tonks-Girardeau gas of a strongly interacting boson gas confined in a potential split by a point-like barrier are studied in detail. This model can be used to approximate a realistic double well situation where the height of the barrier is related to the area of a physical potential. Alternatively, a point like potential can be a good approximation to describe a strongly localised impurity such as an ionic impurity inside a gas of neutral atoms.
Metastable Phases And Dynamics Of Low Dimensional Strongly Correlated Atomic Quantum Gases
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Author : Susanne Pielawa
language : en
Publisher:
Release Date : 2011
Metastable Phases And Dynamics Of Low Dimensional Strongly Correlated Atomic Quantum Gases written by Susanne Pielawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Bosons categories.
Correlations In Low Dimensional Quantum Many Particle Systems
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Author :
language : en
Publisher:
Release Date : 2013
Correlations In Low Dimensional Quantum Many Particle Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems
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Author : Igor V. Lerner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems written by Igor V. Lerner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.
Low Dimensional Quantum Field Theories For Condensed Matter Physicists Lecture Notes Of Ictp Summer Course
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Author : Lu Yu
language : en
Publisher: World Scientific
Release Date : 1995-02-28
Low Dimensional Quantum Field Theories For Condensed Matter Physicists Lecture Notes Of Ictp Summer Course written by Lu Yu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-28 with categories.
This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.
Density Ripples In Expanding Low Dimensional Gases As A Probe Of Correlations
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Author :
language : en
Publisher:
Release Date :
Density Ripples In Expanding Low Dimensional Gases As A Probe Of Correlations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
We investigate theoretically the evolution of the two-point density correlation function of a low-dimensional ultracold Bose gas after release from a tight transverse confinement. In the course of expansion thermal and quantum fluctuations present in the trapped systems transform into density fluctuations. For the case of free ballistic expansion relevant to current experiments, we present simple analytical relations between the spectrum of "density ripples" and the correlation functions of the original confined systems. We analyze several physical regimes, including weakly and strongly interacting one-dimensional (1D) Bose gases and two-dimensional (2D) Bose gases below the Berezinskii-Kosterlitz-Thouless (BKT) transition. For weakly interacting 1D Bose gases, we obtain an explicit analytical expression for the spectrum of density ripples which can be used for thermometry. For 2D Bose gases below the BKT transition, we show that for sufficiently long expansion times the spectrum of the density ripples has a self-similar shape controlled only by the exponent of the first-order correlation function. This exponent can be extracted by analyzing the evolution of the spectrum of density ripples as a function of the expansion time.
Effective Models For Low Dimensional Strongly Correlated Systems
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Author : Ghassan George Batrouni
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-23
Effective Models For Low Dimensional Strongly Correlated Systems written by Ghassan George Batrouni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-23 with Science categories.
These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.
Dynamics In Low Dimensional Correlated Quantum Systems
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Author :
language : en
Publisher:
Release Date : 2014
Dynamics In Low Dimensional Correlated Quantum Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Quantum Gases
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Author : Nick Proukakis
language : en
Publisher: World Scientific
Release Date : 2013
Quantum Gases written by Nick Proukakis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.
