Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment PDF full book. Access full book title Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment by Jie Xu. Download full books in PDF and EPUB format.
Author: Jie Xu
Publisher:
ISBN:
Category : Open systems (Physics)
Languages : en
Pages : 288
Get Book Here
Book Description
Author: Jie Xu
Publisher:
ISBN:
Category : Open systems (Physics)
Languages : en
Pages : 288
Get Book Here
Book Description
Author: Adam Burgess
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
This note is part of Quality testing.
Author: Jonas Fischer
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Usually open quantum systems are considered to be under the influence of noise and therefore faulty. On the other hand, a controlled system is regarded as something stable and predictable. It is often neglected, that the two aspects are very closely related. A perfectly isolated quantum system will not be subject to environmental influences, but this makes it also impossible to interact with it in any manner. Controlling and measuring such a system is impossible and therefore of no technical relevance.Every system used in any technological device therefore must be in contact with its environment. The question, which is the starting point of this thesis is whether it is possible to not only control a system despite of its contact to some environment, but whether there are cases, where this interaction can be necessary, or at least helpful for certain control tasks.The first part of the thesis focuses on such a task, namely the purification of a qubit. Here the environment is essential, in order to serve as an entropy sink. The simplicity of the chosen model allowed us to derive the necessary time for the purification process analytically for arbitrary controls and interactions. This is helpful for architectures, where implementations of various configurations is possible.The second half of the thesis covers more methodogical work. In the example of the qubit reset, we see that the necessary time to perform the task is determined by the coupling between the system and environment. In order to perform such tasks fast, we have to develop a framework, which allows to analyse systems beyond the usual weak-coupling limit. There exists so far no general method for the propagation of such systems, which also allows for thermalisation. The surrogate Hamiltonian method is a promising candidate to capture dynamics beyond the weak-coupling limit and its extension, the stochastic surrogate Hamiltonian, allows for thermalisation. We expand the stochastic surrogate Hamiltonian by introducing a new method of performing stochastic swaps. This method is then tested on a simple example model.
Author: Ángel Rivas
Publisher: Springer Science & Business Media
ISBN: 3642233546
Category : Science
Languages : en
Pages : 103
Get Book Here
Book Description
In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.
Author: Subhashish Banerjee
Publisher: Springer
ISBN: 9811331820
Category : Science
Languages : en
Pages : 278
Get Book Here
Book Description
This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.
Author: Christen Herbert Fleming
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Carole Addis
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Jonas Fischer
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Maike Gail Zinterl
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
We examine different nonlinear open quantum systems and calculate the non-Markovianity based on the distinguishability between two density matrices. We show that for a single spin (qubit) coupled to a bosonic field the non-Markovianity depends on the spectral density function and can take on any number N with 0 ≤ N ≤ 1, meaning the dynamics can be Markovian or highly non-Markovian. For the main result we consider a system of Ntot identical spins coupled to an environment in the mean-field way. Each spin is coupled to a local and the common reservoir. There are only indirect interactions between the spins through the common reservoir. In limit Ntot → 1 the subsystem consisting of a fixed set of n particles reduces to a factorized state in which each factor is a single spin evolving according to a nonlinear Hartree-Lindblad equation which is exactly solvable. For non-stationary initial spin states the non-Markovianity diverges. In this instance we can never approximate the dynamics of the quantum system by a Markovian master equation and this implies that in the mean field models, memory effects are significant.
Author: Daniel Fernando Urrego González
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
We experimentally present the controlled transition, of an open-quantum system, between Markovian and Non-Markovian dynamics. The polarization of light is used as the system, whereas the environment is represented by the spatial structure of light. The controlled coupling of theses two domains is done by a polarization sensitive tunable beam displacer. Additionally, We present the experimental implementation and theoretical model of a controllable dephasing quantum channel using the same photonic variables. Differently, from standard dephasing channels, the channel here reported presents an exotic behavior, in the sense that the evolution of a state, from a pure to a mixed state, shows an oscillatory behavior if tracked in the Bloch sphere.
