Discrete-time construction of nonequilibrium path integrals on the Kostantinov–Perel’ time contour

作者: Andrea Secchi , Marco Polini

DOI: 10.1088/1751-8121/AB2080

关键词: Path integral formulationNon-equilibrium thermodynamicsDensity matrixMathematicsDiscrete time and continuous timeState (functional analysis)Mathematical analysis

摘要: Rigorous nonequilibrium actions for the many-body problem are usually derived by means of path integrals combined with a discrete temporal mesh on Schwinger-Keldysh time contour. The latter suffers from fundamental limitation: initial state this contour cannot be arbitrary, but necessarily needs to described non-interacting density matrix, while interactions switched adiabatically. Kostantinov-Perel' overcomes these and other limitations, allowing generic initial-state preparations. In Article, we apply technique rigorously build integral

参考文章(16)
O. Abdurazakov, D. Nevola, A. Rustagi, J. K. Freericks, D. B. Dougherty, A. F. Kemper, Nonequilibrium electron dynamics in pump-probe spectroscopy: Role of excited phonon populations Physical Review B. ,vol. 98, pp. 245110- ,(2018) , 10.1103/PHYSREVB.98.245110
Daniel Karlsson, Robert van Leeuwen, Enrico Perfetto, Gianluca Stefanucci, The generalized Kadanoff-Baym ansatz with initial correlations Physical Review B. ,vol. 98, pp. 115148- ,(2018) , 10.1103/PHYSREVB.98.115148
Julian Schwinger, Brownian Motion of a Quantum Oscillator Journal of Mathematical Physics. ,vol. 2, pp. 407- 432 ,(1961) , 10.1063/1.1703727
J. Rammer, H. Smith, Quantum field-theoretical methods in transport theory of metals Reviews of Modern Physics. ,vol. 58, pp. 323- 359 ,(1986) , 10.1103/REVMODPHYS.58.323
Gianluca Stefanucci, Robert van Leeuwen, Nonequilibrium Many-Body Theory of Quantum Systems Cambridge University Press. ,(2013) , 10.1017/CBO9781139023979
M Bonitz, S Hermanns, K Kobusch, K Balzer, Nonequilibrium Green function approach to the pair distribution function of quantum many-body systems out of equilibrium Journal of Physics: Conference Series. ,vol. 427, pp. 012002- ,(2013) , 10.1088/1742-6596/427/1/012002
Michael Schüler, Martin Eckstein, Philipp Werner, Truncating the memory time in nonequilibrium dynamical mean field theory calculations Physical Review B. ,vol. 97, pp. 245129- ,(2018) , 10.1103/PHYSREVB.97.245129
Miroslav Hopjan, Claudio Verdozzi, Initial correlated states for the generalized Kadanoff–Baym Ansatz without adiabatic switching-on of interactions in closed systems European Physical Journal-special Topics. ,vol. 227, pp. 1939- 1948 ,(2019) , 10.1140/EPJST/E2018-800054-3