Far-from-equilibrium quantum many-body dynamics
arXiv:1003.4163 · doi:10.1140/epjc/s10052-010-1430-3
Abstract
The theory of real-time quantum many-body dynamics as put forward in Ref. [arXiv:0710.4627] is evaluated in detail. The formulation is based on a generating functional of correlation functions where the Keldysh contour is closed at a given time. Extending the Keldysh contour from this time to a later time leads to a dynamic flow of the generating functional. This flow describes the dynamics of the system and has an explicit causal structure. In the present work it is evaluated within a vertex expansion of the effective action leading to time evolution equations for Green functions. These equations are applicable for strongly interacting systems as well as for studying the late-time behaviour of nonequilibrium time evolution. For the specific case of a bosonic N-component phi^4 theory with contact interactions an s-channel truncation is identified to yield equations identical to those derived from the 2PI effective action in next-to-leading order of a 1/N expansion. The presented approach allows to directly obtain non-perturbative dynamic equations beyond the widely used 2PI approximations.
20 pp., 6 figs; submitted version with added references and typos corrected.
References in corpus (60)
- The density-matrix renormalization group
- Exact evolution equation for the effective potential
- Efficient simulation of one-dimensional quantum many-body systems
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Real time evolution using the density matrix renormalization group
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Aspects of the Functional Renormalisation Group
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Squeezing and entanglement in a Bose-Einstein condensate
- Prethermalization
- Introduction to Nonequilibrium Quantum Field Theory
- Exact Renormalization Group Equations. An Introductory Review
- Turbulent Thermalization
- Lectures on the functional renormalization group method
- Controlled nonperturbative dynamics of quantum fields out of equilibrium
- Strongly inhibited transport of a 1D Bose gas in a lattice
- Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
- Nonperturbative renormalization group approach to frustrated magnets
- Parametric resonance in quantum field theory
- Nonequilibrium quantum criticality in open electronic systems
- Resumming Cosmic Perturbations
- Classical aspects of quantum fields far from equilibrium
- A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
- n-Particle irreducible effective action techniques for gauge theories
- Nonequilibrium functional renormalization group for interacting quantum systems
- Thermalization of fermionic quantum fields
- Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
- Fine-grained entanglement loss along renormalization group flows
- Functional renormalization group for non-equilibrium quantum many-body problems
- Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
- A finite-frequency functional RG approach to the single impurity Anderson model
- Quantum versus classical statistical dynamics of an ultracold Bose gas
- Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
- Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
- Observing the Formation of Long-range Order during Bose-Einstein Condensation
- Dynamical renormalization group approach to relaxation in quantum field theory
- Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
- Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
- Time evolution of one-dimensional Quantum Many Body Systems
- Dynamical renormalization group resummation of finite temperature infrared divergences
- Non-perturbative thermal flows and resummations
- Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
- Matter Wave Turbulence: Beyond Kinetic Scaling
- Quantum dynamics of phase transitions in broken symmetry field theory
- Non-perturbative Approach to Critical Dynamics
- Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
- Properties of multi-particle Green and vertex functions within Keldysh formalism
- Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime
- Thermalization and the chromo-Weibel instability
- Time evolution of correlation functions in Non-equilibrium Field Theories
- Critical phenomena from the two-particle irreducible 1/N expansion
- Time Evolution of Non-Equilibrium Effective Action
- Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
- Renormalization Group Method Applied to Kinetic Equations: roles of initial values and time
- Ultracold gases far from equilibrium
- Non-Equilibrium Time Evolution in Quantum Field Theory
- Dynamics of broken symmetry lambda phi^4 field theory
- Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
- Real-time dynamics of the O(N) model in 1+1 dimensions
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- High-frequency asymptotics of the vertex function: diagrammatic parametrization and algorithmic implementation
- Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
- QCD at finite temperature and density within the fRG approach: An overview
- Schrödinger method as N-body double and UV completion of dust
- A renormalization group approach to time dependent transport through correlated quantum dots
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- Kinetic theory of non-thermal fixed points in a Bose gas
- Ultracold atoms and the Functional Renormalization Group
- Introduction to the nonequilibrium functional renormalization group
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- Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
- Finite temperature spectral functions in the O(N)-model
- Perturbative Non-Equilibrium Thermal Field Theory
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- From quantum to classical dynamics: The relativistic model in the framework of the real-time functional renormalization group
- Spectral functions from the real-time functional renormalization group
- Universal short-time dynamics: boundary functional renormalization group for a temperature quench
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- Flowing with the Temporal Renormalisation Group
- KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
- Real-time dynamics of the scalar theory within the fRG approach
- The QCD moat regime and its real-time properties
- Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
- Non-equilibrium time evolution of bosons from the functional renormalization group
- Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
- Perturbative Non-Equilibrium Thermal Field Theory to all Orders in Gradient Expansion
- Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
- The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter
- Dissipation dynamics of a scalar field
- Far-from-equilibrium dynamics of an ultracold Fermi gas
- Keldysh functional renormalization group for electronic properties of graphene
- Real-time effective-action approach to the Anderson quantum dot
- Coarse-graining in time with the Functional Renormalisation Group: Relaxation in Brownian Motion
- Non-equilibrium Quantum Many-Body Dynamics: Functional Integral Approaches
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