Dynamics of one-dimensional quantum systems

inverse-square interaction models
  • 474 Pages
  • 2.41 MB
  • 2147 Downloads
  • English
by
Cambridge University Press , Cambridge, UK, New York
Electronic structure -- Mathematical models, Matrix inversion, Many-body pr
StatementYoshio Kuramoto, Yusuke Kato.
ContributionsKato, Y. 1929-
Classifications
LC ClassificationsQC176.8.E4 K867 2009
The Physical Object
Paginationxii, 474 p. :
ID Numbers
Open LibraryOL24060619M
ISBN 100521815983
ISBN 139780521815987
LC Control Number2009023529

A self-contained account of non-symmetric and symmetric Jack polynomials is also given. Derivations of dynamics are made easier, and are more concise than in the original papers, so readers can learn the physics of one-dimensional quantum systems through the simplest by: DYNAMICS OF ONE-DIMENSIONAL QUANTUM SYSTEMS One-dimensional quantum systems show fascinating properties beyond the scope of the mean-field approximation.

However, the complicated mathemat-ics involved is a high barrier to non-specialists. Written for graduate stu-dents and researchers new to the field, this book is a self-contained accountCited by: A self-contained account of non-symmetric and symmetric Jack polynomials is also given.

Derivations of dynamics are made easier, and are more concise than in the original papers, so readers can learn the physics of one-dimensional quantum systems through the simplest model. Preface; 1. Introduction; Part I. Physical Properties: 2. Single-component Sutherland model; 3.

Multi-component Sutherland model; 4. Spin chain with 1/r2 interactions; 5. SU(K) spin chain; 6. Supersymmetric t-J model with 1/r2 interaction; Part II.

Mathematics Related to 1/r2 Systems: 7. Jack polynomials; 8. Yang-Baxter relations and orthogonal eigenbasis; 9. SU(K) and supersymmetric Cited by: 8. This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems.

The main motivation was to examine from a uniform standpoint various models and approaches that have. A large number of modern problems in physics, chemistry, and quantum electronics require a consideration of population dynamics in complex multilevel quantum systems.

The purpose of this book is to provide a systematic treatment of these questions and to. The dynamics and prethermalization of one-dimensional quantum systems probed through the full distributions of quantum noise Takuya Kitagawa1,4, Adilet Imambekov2, Jörg Schmiedmayer3 and Eugene Demler1 1 Harvard-MIT Center for Ultracold Atoms, Department of Physics, Harvard University, Cambridge, MAUSA.

Non-equilibrium Dynamics of One-dimensional Many-body Quantum Systems Thesis Submitted in Partial Fulfillment of the Requirements of the Jay and Jeanie Schottenstein Honors Program Yeshiva College Yeshiva University May Jonathan Karp Mentor: Dr.

Lea F. Santos, Department of Physics. Multidimensional Quantum Dynamics: MCTDH Theory and Applications. Editor(s): Prof. Hans‐Dieter Meyer The first book dedicated to this new and powerful computational method begins with a comprehensive description of MCTDH and its theoretical background. semiclassical methods, quantum chaos, vibronic coupling, system-bath problems, and.

An algorithm for the simulation of the evolution of slightly entangled quantum states has been recently proposed as a tool to study time-dependent phenomena in one-dimensional quantum : Michael Zwolak. Experiments in cold atoms allow the study of the dynamics of one-dimensional quantum systems using techniques such as the Bragg spectroscopy [7, 11].

On the theoretical side, the dynamics of quantum systems is best studied using the Keldysh technique for non-equilibrium systems [13]. This is the subject of the first chapter. We start with theFile Size: 2MB.

One-Dimensional super uids 2 A. Theoretical description of 1D systems 2 B. Realising 1D many-body quantum systems 3 C. Experimental techniques to probing the quantum state 4 III. Non-equilibrium dynamics and relaxation in 1D super ids 6 A. Creating a non-equilibrium state 6 B.

Relaxation in a isolated 1D super uid 7 C. Recurrences Dynamics by Prof.

Details Dynamics of one-dimensional quantum systems FB2

George Haller. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies, steady motions and small deviations therefrom, gyroscopic effects, and causes of instability, free and forced vibrations of lumped-parameter and continuous systems.

The Dynamics and Prethermalization of One Dimensional Quantum Systems Probed Through the Full Distributions of Quantum Noise The Harvard community has made this article openly available. Please share how this access benefits you.

Your story matters Citation Kitagawa, Takuya, Adilet Imambekov, Jörg Schmiedmayer, and Eugene Demler. We derive the momentum space dynamic equations and state functions for one dimensional quantum walks by using linear systems and Lie group theory.

Abstract.

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We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that takes them out of equilibrium; on the Hamiltonian, whether it is integrable or chaotic; and on the onset of multifractal eigenstates that occurs Cited by: 5.

Atom chips Emergence of classical properties Generalized thermodynamic ensembles Matterwave interference One-dimensional Bose gases Prethermalization and thermalization Quantum many-body systems Relaxation in an isolated quantum many-body system Relaxation in one-dimensional bose gases Ultracold quantum gases.

This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems.

The main motivation was to examine from a uniform standpoint various models and approaches that have been developed in atomic, molecular, condensed. This self-contained book provides graduate students and new researchers with an intuitive understanding of exact dynamical properties of one-dimensional quantum systems.

Its concise and accessible accounts of powerful concepts allow non-specialist readers to understand the physics of one-dimensional quantum systems through the simplest model. This book presents in a pedagogical yet complete way correlated systems in one dimension.

Recent progress in nanotechnology and material research have made one dimensional systems a crucial part of today's physics. After an introduction to the basic concepts of correlated systems, the book gives a step by step description of the techniques needed to treat one dimension, 5/5(1).

Understanding the behaviour of isolated quantum systems far from equilibrium and their equilibration is one of the most pressing problems in quantum many-body physics 1, is strong Cited by: the notation we take the system one-dimensional.

The total Hamiltonian reads: H= H syst+ H I+ H R () where H syst= p2 2m + V(x) is the Hamiltonian of the system we focus on, H R= XN k p 2 k 2 +. k 2 Q2 k is the Hamiltonian of the Harmonic oscillators and H I= XN k kQ k is the interaction between the system and the oscillators.

The number of Cited by: 1. When in fact, review DYNAMICS OF ONE DIMENSIONAL QUANTUM SYSTEMS YUSUKE KATO certainly provide much more likely to be effective through with hard work. For everyone, whether you are going to start to join with others to consult a book, this DYNAMICS OF ONE DIMENSIONAL QUANTUM SYSTEMS YUSUKE KATO is very advisable.

The dynamics of quantum information is opening new perspectives on the behaviour of complex many-body systems. This Perspective covers progress made with Cited by: 3. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the Pauli and Dirac Equation.

Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable : Berthold-Georg Englert.

The possibility of simulating non-equilibrium physics using cold atomic systems motivates many open questions regarding the dynamics of systems whose equilibrium properties are well understood. We first consider the non-equilibrium dynamics in a one-dimensional quantum spin chain by arranging the spins in an inhomogeneous initial state by application of a spatially varying magnetic field and Author: Jarrett L.

Lancaster. The macroscopic zero-temperature behavior of weakly- incommensurate systems in one dimension is described in terms of solitons.

Description Dynamics of one-dimensional quantum systems EPUB

The soliton density n obeys. In this paper, we show that quantum noise is also a useful tool for characterizing and studying the non-equilibrium dynamics of a one-dimensional (1D) system.

We consider the Ramsey sequence of 1D, two-component bosons, and obtain simple, analytical expressions for time evolutions of the full distribution functions for this strongly correlated Cited by:   The quantum transfer-matrix (QTM) method is reviewed and thermo-quantum dynamics is formulated on the basis of the QTM.

The free energy of the relevant quantum system (e.g. the one-dimensional Heisenberg model) is expressed only in terms of the maximum eigenvalue λ max of the QTM.

Even the correlation length ξ(T) is expressed in terms of the ratio of λ max over the next largest Cited by: 6. The observation of Bose–Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems.In this paper, we show that quantum noise is also a useful tool to characterize and study the non-equilibrium dynamics of one dimensional system.

We consider the Ramsey sequence of one dimensional, two-component bosons, and obtain simple, analytical expressions of time evolutions of the full distribution functions for this strongly-correlated.ComputerPhysics Communications ELSEVIER Computer Physics Communications 99 () Filtered propagator functional for iterative dynamics of quantum dissipative systems Eunji Sim, Nancy Makri 1 School o f Chemical Sciences, University o f Illinois, S.

Mathews Avenue, Urbana, IllinoisUSA Received 28 June ; revised 6 September Abstract We describe a Fortran Cited by: