Field Theory of Non-Equilibrium Systems
By Alex Kamenev. 2011
1,104 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0568981e76560ef9cee24554f19928768a0722d9
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Citations in the corpus
- Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities (2012, positive): “It is convenient [19–21] to introduce “center-of-mass” and “relative” field coordinates, acl = (a+ + a−)/ √ 2, aq = (a+ − a−)/ √ 2.”
- Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics (2018, methodology): “(5.18) See Appendix C for how Aµ and ϕ transform under various choices of Θ.”
- Keldysh field theory for driven open quantum systems (2015, methodology): “Here we present an alternative and direct derivation within the Keldysh functional integral formalism [102, 178].”
- Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “This doubling in the fluid dynamical context is often called Martin-Siggia-Rose or Janssen-deDominicis-Politi formalism (see [97]).”
- Random Quantum Circuits (2022, background): “More precisely, most physical observables are expressed as “multi-sheet” path integrals (19, 127, 128), or rather multi-layer circuits (an example is shown in Fig.”
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves (2016, background): “eractions or Fermi energy for electrons in disorder potential. For the diagonal part of the kinetic equation this is well established and the theory of quantum corrections is well developed, see ref. [29] for a pedestrian introduction. In the following we shall assume that these conditions hold and ”
- Holographic Quantum Matter (2016, neutral): “Essentially all of the condensed matter literature on quantum transport in metals is built on a theory of the scattering of quasiparticles formulated using the quantum Boltzmann equation, and its Baym-KadanoffKeldysh extensions [431; 432].”
- Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach (2016, methodology): “We refer the reader to previous publications [530,551] for detailed reviews of the derivation of the Kadanoff–Baym and Keldysh formalisms.”
- Quantum Quench Dynamics (2017, background): “For bosons, if φq is the quantum field, and φc, the classical fields [77, 78], the new terms generated by the RG are of the kind φq∂tφc and φ(2)q.”
- Colloquium: Criticality and dynamical scaling in living systems (2017, methodology): “pts and methods developed in the context of equilibrium systems were soon extended to time-dependent and non-equilibrium problems (Henkel et al., 2008; Hinrichsen, 2000; Hohenberg and Halperin, 1977; Kamenev, 2011; Marro and Dickman, 1999; Tauber, 2014, 2017). All along this paper, we adopt a view o”