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Condens. Matter 2018, 3(1), 2; doi:10.3390/condmat3010002

Two-Time Correlation Functions in Dissipative and Interacting Bose–Hubbard Chains

1
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Campus Universitario, Parco Area delle Scienze n. 7/a, 43124 Parma, Italy
2
International Centre for Fundamental Physics, Département de Physique, École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
3
Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, Gruppo Collegato di Parma, 43124 Parma, Italy
*
Author to whom correspondence should be addressed.
Received: 6 December 2017 / Revised: 29 December 2017 / Accepted: 31 December 2017 / Published: 3 January 2018
(This article belongs to the Special Issue Proceedings of the conference SuperFluctuations 2017)
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Abstract

A method is presented for the systematic derivation of a hierarchy of coupled equations for the computation of two-time correlation functions of operators for open many-body quantum systems. We show how these systems of equations can be closed in mean-field and beyond approximations. Results for the specific example of the spectral weight functions are discussed. Our method allows one to access the full temporal evolution, not just the stationary solution, of non-equilibrium open quantum problems described by a Markovian master equation. View Full-Text
Keywords: open quantum systems; Bose–Einstein condensates; ultracold atoms; correlation functions; Green functions open quantum systems; Bose–Einstein condensates; ultracold atoms; correlation functions; Green functions
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Denis, Z.; Wimberger, S. Two-Time Correlation Functions in Dissipative and Interacting Bose–Hubbard Chains. Condens. Matter 2018, 3, 2.

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