Correlations in Low-Dimensional Quantum Gases PDF Download
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Author: Guillaume Lang
Publisher: Springer
ISBN: 3030052850
Category : Science
Languages : en
Pages : 193
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Book Description
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.
Author: Guillaume Lang
Publisher: Springer
ISBN: 3030052850
Category : Science
Languages : en
Pages : 193
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Book Description
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.
Author: Nick Proukakis
Publisher: World Scientific
ISBN: 1848168128
Category : Science
Languages : en
Pages : 579
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Book Description
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.
Author: John Goold
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 161
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Book Description
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.
Author: Tim Langen
Publisher: Springer
ISBN: 3319185640
Category : Science
Languages : en
Pages : 154
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Book Description
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence of thermal correlations and the observation of generalized thermodynamic ensembles. This points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution, and lays the groundwork for a universal framework of non-equilibrium physics. The thesis investigates a central question that is highly contested in quantum physics: how and to which extent does an isolated quantum many-body system relax? This question arises in many diverse areas of physics, and many of the open problems appear at vastly different energy, time and length scales, ranging from high-energy physics and cosmology to condensed matter and quantum information. A key challenge in attempting to answer this question is the scarcity of quantum many-body systems that are both well isolated from the environment and accessible for experimental study.
Author: Mohammad Reza Bakhtiari
Publisher: Edizioni della Normale
ISBN: 9788876423192
Category : Science
Languages : en
Pages : 0
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Book Description
The experimental achievement of Bose-Einstein condensation (1995) and of Fermi degeneracy (1999) in ultra-cold, dilute gases has opened a new field in atomic physics and condensed matter physics. This thesis presents an overview of theoretical and experimental facts on ultra-cold atomic gases. A Green's function scheme is examined, and the book also applies a novel spin-density-functional approach to the study of Fermi gases inside one-dimensional optical lattices.
Author: Júlia Amorós Binefa
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The main objective of this project is to find the binding energy of an impurity interacting with a one-dimensional bosonic system of increasing size for different coupling strengths g. Both the bosons as well as the impurity interact in pairs by means of a contact potential. The coupling strength between the bosons and between the impurity and the bosons is assumed to be the same. The bosonic bath is placed in an harmonic trap to mimic a very likely experimental situation. The methods used will be based on variational and diffusion Monte-Carlo simulations which allow for an exact treatment of the problem. Apart from this numerical calculation, a theoretical study combining Lieb-Liniger theory and local density approximation will be performed in order to determine the binding energy between the impurity and the bosonic bath in the thermodynamic limit. Comparing this theoretical prediction with the DMC results, we can determine when the system has reached a sufficiently large size in order to be properly described by the thermodynamic limit.
Author: Cheng-An Chen
Publisher: Springer Nature
ISBN: 3031133552
Category : Science
Languages : en
Pages : 151
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Book Description
This thesis explores the physics of non-equilibrium quantum dynamics in homogeneous two-dimensional (2D) quantum gases. Ultracold quantum gases driven out of equilibrium have been prominent platforms for studying quantum many-body physics. However, probing non-equilibrium dynamics in conventionally trapped, inhomogeneous atomic quantum gases has been a challenging task because coexisting mass transport and spreading of quantum correlations often complicate experimental analyses. In this work, the author solves this technical hurdle by producing ultracold cesium atoms in a quasi-2D optical box potential. The exquisite optical trap allows one to remove density inhomogeneity in a degenerate quantum gas and control its dimensionality. The author also details the development of a high-resolution, in situ imaging technique to monitor the evolution of collective excitations and quantum transport down to atomic shot-noise, and at the length scale of elementary collective excitations. Meanwhile, tunable Feshbach resonances in ultracold cesium atoms permit precise and dynamical control of interactions with high temporal and even spatial resolutions. By employing these state-of-the-art techniques, the author performed interaction quenches to control the generation and evolution of quasiparticles in quantum gases, presenting the first direct measurement of quantum entanglement between interaction quench generated quasiparticle pairs in an atomic superfluid. Quenching to attractive interactions, this work shows stimulated emission of quasiparticles, leading to amplified density waves and fragmentation, forming 2D matter-wave Townes solitons that were previously considered impossible to form in equilibrium due to their instability. This thesis unveils a set of scale-invariant and universal quench dynamics and provides unprecedented tools to explore quantum entanglement transport in a homogenous quantum gas.
Author: Nicole Fabbri
Publisher:
ISBN: 9788866552208
Category : Science
Languages : en
Pages : 188
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Book Description
Author:
Publisher:
ISBN: 9788771250718
Category :
Languages : en
Pages : 0
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Book Description
Author: Kathryn Levin
Publisher: Elsevier
ISBN: 0444538577
Category : Science
Languages : en
Pages : 226
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Book Description
The rapidly developing topic of ultracold atoms has many actual and potential applications for condensed-matter science, and the contributions to this book emphasize these connections. Ultracold Bose and Fermi quantum gases are introduced at a level appropriate for first-year graduate students and non-specialists such as more mature general physicists. The reader will find answers to questions like: how are experiments conducted and how are the results interpreted? What are the advantages and limitations of ultracold atoms in studying many-body physics? How do experiments on ultracold atoms facilitate novel scientific opportunities relevant to the condensed-matted community? This volume seeks to be comprehensible rather than comprehensive; it aims at the level of a colloquium, accessible to outside readers, containing only minimal equations and limited references. In large part, it relies on many beautiful experiments from the past fifteen years and their very fruitful interplay with basic theoretical ideas. In this particular context, phenomena most relevant to condensed-matter science have been emphasized. Introduces ultracold Bose and Fermi quantum gases at a level appropriate for non-specialists Discusses landmark experiments and their fruitful interplay with basic theoretical ideas Comprehensible rather than comprehensive, containing only minimal equations
