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

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.

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Transient dynamics of the Anderson impurity model out of equilibrium
• Beyond mean-field dynamics in open Bose-Hubbard chains
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Observing the Formation of Long-range Order during Bose-Einstein Condensation
• Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
• Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model
• Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
• Non-Markovian non-stationary completely positive open quantum system dynamics
• Finite size effects and equilibration in Bose-Hubbard chains with central well dephasing