Download or read book Non equilibrium Dynamics of Driven Low dimensional Quantum Systems written by Stefano Scopa and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis analyzes some aspects regarding the dynamics of one-dimensional quantum systems which are driven out-of-equilibrium by the presence of time- dependent external fields. Among the possible kinds of driven systems, our focus is dedicated to the slow variation of a Hamiltonian's parameter across a quantum phase transition and to the case of a time-periodic forcing. To begin with, we prepare the background and the tools needed in the following. This includes a brief introduction to quantum critical models (in particular to the xy spin chain and to the Bose-Hubbard model), the Kibble-Zurek mechanism and Floquet theory. Next, we consider the non-equilibrium dynamics of Tonks-Girardeau gases in time-dependent harmonic trap potentials. The analysis is made with different techniques: perturbative expansions, numerical exact diagonalization and exact methods based on the theory of Ermakov-Lewis dynamical invariants. The last part of the thesis deals instead with the non-equilibrium dynamics of markovian open quantum systems subject to time-periodic perturbations of the system parameters and of the environment. This has led to an exact formulation of Floquet theory for a Lindblad dynamics. Moreover, within the Lindblad-Floquet framework it is possible to have an exact characterization ofthe finite-time operation of quantum heat-engines.
Download or read book On Non equilibrium Dynamics in Low dimensional Strongly Correlated Quantum Systems written by and published by . This book was released on 2019 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we study the non-equilibrium dynamics of low-dimensional strongly correlated quantum systems, which in our case are generated by sudden and time-dependent quantum quenches. Such non-equilibrium dynamics are a particularly difficult problem, because the time evolution of the initial many-body quantum state, which is governed by the post-quench Hamiltonian, is highly non-trivial. On top of that, applying an operator to this many-body quantum state in order to calculate its expectation values, typically creates an intricate set of excitations. Throughout the thesis, we furthermore contrast the results that we have obtained using exact numerical methods for two microscopic models, namely the Heisenberg and Fermi-Hubbard chains, with results derived from the Luttinger liquid theory, which, in equilibrium, describes the universal behavior of the two models.In the second part of the thesis, we reduce the dimensionality even further and employ complementary numerical and analytical tools to examine the unusual non-equilibrium behavior of a ring-shaped quantum impurity hosting interacting spin-less fermions.
Download or read book Field Theory of Non Equilibrium Systems written by Alex Kamenev and published by Cambridge University Press. This book was released on 2023-01-05 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.
Download or read book Non equilibrium Dynamics in Two dimensional Quantum Systems written by Shinichi Sunami and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium dynamics of low dimensional quantum systems written by BALÁZS DÓRA. and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium Transport Phenomena in Low dimensional Quantum Systems written by Vladimir I. Valtchinov and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium Dynamics of Interacting Many body Quantum Systems in One Dimension written by Bruno Bertini and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NON EQUILIBRIUM DYNAMICS OF MANY BODY QUANTUM SYSTEMS written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid progress in nanotechnology and naofabrication techniques has ushered in a new era of quantum transport experiments. This has in turn heightened the interest in theoretical understanding of nonequilibrium dynamics of strongly correlated quantum systems. This project has advanced the frontiers of understanding in this area along several fronts. For example, we showed that under certain conditions, quantum impurities out of equilibrium can be reformulated in terms of an effective equilibrium theory; this makes it possible to use the gamut of tools available for quantum systems in equilibrium. On a different front, we demonstrated that the elastic power of a transmitted microwave photon in circuit QED systems can exhibit a many-body Kondo resonance. We also showed that under many circumstances, bipartite fluctuations of particle number provide an effective tool for studying many-body physics--particularly the entanglement properties of a many-body system. This implies that it should be possible to measure many-body entanglement in relatively simple and tractable quantum systems. In addition, we studied charge relaxation in quantum RC circuits with a large number of conducting channels, and elucidated its relation to Kondo models in various regimes. We also extended our earlier work on the dynamics of driven and dissipative quantum spin-boson impurity systems, deriving a new formalism that makes it possible to compute the full spin density matrix and spin-spin correlation functions beyond the weak coupling limit. Finally, we provided a comprehensive analysis of the nonequilibrium transport near a quantum phase transition in the case of a spinless dissipative resonant-level model. This project supported the research of two Ph. D. students and two postdoctoral researchers, whose training will allow them to further advance the field in coming years.
Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics in Low dimensional Correlated Quantum Systems written by and published by . This book was released on 2014 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium Dynamics written by Peter D. Keefe and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Studies of Dynamic and Topology of Driven Quantum Many body Systems written by Abhishek Kumar (Physicist) and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-equilibrium quantum many-body systems like periodically driven (Floquet) systems exhibit much richer dynamics than their equilibrium counterparts. A striking example is a time crystal, a novel non-equilibrium phase of matter which is forbidden in equilibrium. This thesis concentrates on studying Floquet many-body systems, in particularly, higher-order Floquet topology, light-matter interactions in the Floquet systems, and interesting physics of Floquet many-spin systems with a view towards quantum simulation, e.g. with trapped ions. The model Hamiltonians studied in this thesis are of two types: Floquet-Bloch Hamiltonian and Floquet many-spin Hamiltonian. We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases support lower-dimensional Floquet bound states, such as corner Floquet bound states at the intersection of edges of a two-dimensional system, protected by the nonequilibrium higher-order topology induced by the periodic drive. We characterize higher-order Floquet topologies of the bulk Floquet Hamiltonian using mirror-graded Floquet winding number. We also show that bulk vortex structures can be dynamically generated by a spatially inhomogeneous drive and can host multiple Floquet bound states. Inspired by the effectiveness of the optical probes in condensed matter systems, we study the light-matter interactions in Floquet systems in strong and weak optical field regimes. In the weak field limit, we formulate the linear response theory of a periodically driven system. We illustrate the applications of this formalism by giving general expressions for optical conductivity of Floquet systems, including its homodyne and heterodyne components and beyond. We obtain the Floquet optical conductivity of specific driven models, including two-dimensional Dirac material such as the surface of a topological insulator, graphene, and the Haldane model irradiated with circularly or linearly polarized laser, as well as a semiconductor quantum well driven by an ac potential. In the strong field limit, we formulate a theory of bulk optical current for a periodically driven system, which accounts for the mixing of external drive and laser field frequencies and, therefore, the broadening of the harmonic spectrum compared to the undriven system. We illustrate the application of this theory by studying high harmonic generation in the periodically driven Su Schrieffer-Heeger model. We find significant enhancement in higher harmonics when the system is driven, even for low field amplitudes and obtain harmonics forbidden in the undriven model. Motivated by applications on a trapped-ion quantum simulator, we study many-spin systems with periodically driven two-body interactions and external fields in the high-frequency limit. We show that a hierarchy of multi-spin interactions can be generated in powers of inverse-frequency, such as Dzyaloshinskii-Moriya interaction (DMI), three- and four-spin interactions, and additional Zeeman terms. We introduce the concept of a Floquet gauge pump where we exploit the dynamically generated interactions of a Floquet Hamiltonian to detect the topology of the ground state and edge states in interacting systems. We demonstrate this concept in 1D XY model with periodically driven couplings and a transverse field and discuss the requirements to realize the Floquet gauge pump with trapped ions.
Download or read book Dynamics of Dissipation written by Piotr Garbaczewski and published by Springer Science & Business Media. This book was released on 2007-08-04 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.
Download or read book Non equilibrium Dynamics and Information Spreading in Many body Quantum Systems written by Dominik Hahn and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non Equilibrium Particle Dynamics written by Albert S. Kim and published by BoD – Books on Demand. This book was released on 2019-12-04 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: All engineering processes are processes of non-equilibrium because one or all of heat, mass, and momentum transfer occur in an open system. The pure equilibrium state can be established in an isolated system, in which neither mass nor heat is transferred between the system and the environment. Most engineering transport analyses are based on the semi-, quasi-, or local equilibrium assumptions, which assume that any infinitesimal volume can be treated as a box of equilibrium. This book includes various aspects of non-equilibrium or irreversible statistical mechanics and their relationships with engineering applications. I hope that this book contributes to expanding the predictability of holistic engineering consisting of thermo-, fluid, and particle dynamics.
Download or read book Relaxation and Thermalization of Nonequilibrium Quantum Systems in the Semiclassical Limit written by Rafael Stockschneider Hipolito and published by . This book was released on 2012 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: We discuss the development and application of semiclassical techniques to study dynamics and relaxation in quantum mechanical systems out of equilibrium, relevant to ultracold atomic gases. Due to the unprecedented amount of control in these systems, experimentalists have a lot of freedom in designing Hamiltonians, including the spatial dimension. Another advantage present in these systems is the fact that time scales are slow enough, in contradistinction with usual condensed matter systems, so that it is possible to follow nonequilibrium dynamics and relaxation after quantum quenches. The advent of these experiments has motivated us to further understand these systems. With this goal in mind, we apply a semiclassical phase space technique called Truncated Wigner Approximation (TWA) to study dynamics in the weakly interacting, semiclassical limit. In our study, we will further confine ourselves to one dimensional systems where thermalization is poorly understood due to the fact that generic one dimensional Hamiltonians lie close to integrable models. Due to the peculiarity of systems in low dimensions, such as the prohibition of true long range order, these systems relax in an interesting way, and we generically find the emergence of long-lived metastable states. In particular, we find it is possible to design Hamiltonians that share features with the Fermi-Pasta-Ulam model, and these systems relax to a metastable state where different momentum mode energies live at different temperatures.
Download or read book Out of Equilibrium Physics of Correlated Electron Systems written by Roberta Citro and published by Springer. This book was released on 2018-07-26 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a wide-ranging survey of the physics of out-of-equilibrium systems of correlated electrons, ranging from the theoretical, to the numerical, computational and experimental aspects. It starts from basic approaches to non-equilibrium physics, such as the mean-field approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy.
