Nonequilibrium Effects in Strongly Correlated Systems PDF Download
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Author: Petra Schmidt
Publisher:
ISBN:
Category :
Languages : en
Pages : 102
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Author: Petra Schmidt
Publisher:
ISBN:
Category :
Languages : en
Pages : 102
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Author: Kathleen Elizabeth Hamilton
Publisher:
ISBN: 9781321550948
Category : Percolation (Statistical physics)
Languages : en
Pages : 159
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Book Description
The work presented in this dissertation is centered around the phenomena of correlations between members of a system, and how these correlations lead to unique effects which the system is in a non-equilibrium state. The systems described in this work are divided into two sections: dynamical systems and networks. The work on dynamical systems is focused on how correlated systems can gradually evolve when strongly driven. The work on networks is focused on how percolation is affected by correlations.
Author: David Blasche Blaschke
Publisher:
ISBN: 9783039368143
Category :
Languages : en
Pages : 264
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Book Description
The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev's approach, which generalizes the notion of Gibbs' ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev's method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly
Author: Andreas Herrmann
Publisher:
ISBN:
Category :
Languages : en
Pages : 98
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Author: David Mesterházy
Publisher:
ISBN:
Category :
Languages : en
Pages : 145
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Author: Kazuma Nagao
Publisher: Springer Nature
ISBN: 9811571716
Category : Science
Languages : en
Pages : 126
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Book Description
This book discusses non-equilibrium quantum many-body dynamics, recently explored in an analog quantum simulator of strongly correlated ultracold atoms. The first part presents a field-theoretical analysis of the experimental observability of the Higgs amplitude mode that emerges as a relativistic collective excitation near a quantum phase transition of superfluid Bose gases in an optical lattice potential. The author presents the dynamical susceptibilities to external driving of the microscopic parameters, taking into account a leading-order perturbative correction from quantum and thermal fluctuations and shows clear signatures of the Higgs mode in these observables. This is the first result that strongly supports the stability of the Higgs mode in three-dimensional optical lattices even in the presence of a spatially inhomogeneous confinement potential and paves the way for desktop observations of the Higgs mode. In the second part, the author applies the semi-classical truncated-Wigner approximation (TWA) to far-from-equilibrium quantum dynamics. Specifically, he considers the recent experiments on quantum-quench dynamics in a Bose-Hubbard quantum simulator. A direct comparison shows remarkable agreement between the numerical results from TWA and the experimental data. This result clearly indicates the potential of such a semi-classical approach in reliably simulating many-body systems using classical computers. The book also includes several chapters providing comprehensive reviews of the recent studies on cold-atomic quantum simulation and various theoretical methods, including the Schwinger-boson approach in strongly correlated systems and the phase-space semi-classical method for far-from-equilibrium quantum dynamics. These chapters are highly recommended to students and young researchers who are interested in semi-classical approaches in non-equilibrium quantum dynamics.
Author: Eisler Viktor
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Christian Maes
Publisher: Springer
ISBN: 3319677802
Category : Science
Languages : en
Pages : 56
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Book Description
This book introduces and discusses both the fundamental aspects and the measurability of applications of time-symmetric kinetic quantities, outlining the features that constitute the non-dissipative branch of non-equilibrium physics. These specific features of non-equilibrium dynamics have largely been ignored in standard statistical mechanics texts. This introductory-level book offers novel material that does not take the traditional line of extending standard thermodynamics to the irreversible domain. It shows that although stationary dissipation is essentially equivalent with steady non-equilibrium and ubiquitous in complex phenomena, non-equilibrium is not determined solely by the time-antisymmetric sector of energy-entropy considerations. While this should not be very surprising, this book provides timely, simple reminders of the role of time-symmetric and kinetic aspects in the construction of non-equilibrium statistical mechanics.
Author: J M P Carmelo
Publisher: World Scientific
ISBN: 9814475831
Category : Technology & Engineering
Languages : en
Pages : 612
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Book Description
This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of the physics of manganites and graphene, both in equilibrium and far from equilibrium.
Author: Ryan Heary
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
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Book Description
Strongly correlated nanostructures and lattices ofelectrons are studied when these systems reside in a steady-state nonequilibrium. Much of the work done to date has made use of the nonequilibrium real-time Keldysh Green function technique. These methods include: the Keldysh Green function perturbation theory, time-dependent numerical renormalization group, density matrix renormalization group, and diagrammatic quantum Monte Carlo. In the special case of steady-state nonequilibrium we construct an imaginary-time theory. The motivation to do this is simple: there exist an abundant number of well-established strongly correlated computational solvers for imaginary-time theory and perturbation theory on the imaginary-time contour is much more straightforward than that of the real-time contour. The first model system we focus on is a strongly interacting quantum dot situated between source and drainelectron reservoirs.^The steady-state nonequilibrium boundary condition is established by applying a voltage bias $\Phi$ across the reservoirs, in turn modifying the chemical potentials of the leads. For a symmetric voltage drop we have$\mu_{source}=\Phi/2$ and $\mu_{drain}=-\Phi/2$. The dynamics of the electrons are governed by the Hamiltonian $\hat{\mathcal{H}}$ which is inherently independent of the imbalance in the source and drain chemical potentials. The statistics though are determined by the operator $\hat{\mathcal{H}}-\hat{\mathcal{Y}}$, where $\hat{\mathcal{Y}}$ imposes the nonequilibrium boundary condition. We show that it is possible to construct a single effective Hamiltonian $\hat{\mathcal{K}}$ able to describe both the dynamics and statistics of the system. Upon formulating the theory we explicitly show that it is consistent with the real-time Keldysh theory both formally and through an example using perturbation theory.^In these systems there exists a strong interplay between the interactions and nonequilibrium leading to novel nonperturbative phenomena. Therefore, we combine our theory with the Hirsch-Fye quantum Monte Carlo algorithm to study these effects. We then propose a nonequilibrium Hubbard model in the special limit of infinite dimensions (dynamical mean-field theory) where the problem is reduced to solving a self consistent nonequilibrium impurity model. The final chapter concentrates on electron spin and charge filtering through a quantum dot embedded Aharonov-Bohm interferometer.
