The quantum regression theorem for out-of-time-ordered correlation functions

Abstract

We derive an extension of the quantum regression theorem to calculate out-of-time-order correlation functions in Markovian open quantum systems. While so far mostly being applied in the analysis of many-body physics, we demonstrate that out-of-time-order correlation functions appear naturally in optical detection schemes with interferometric delay lines, and we apply our extended quantum regression theorem to calculate the non-trivial photon counting fluctuations in split and recombined signals from a quantum light source.

9 pages, 7 figures

References in corpus (5)

• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Jarzynski-like equality for the out-of-time-ordered correlator
• Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
• Out-of-time-order correlators in finite open systems
• Correlation functions and conditioned quantum dynamics in photodetection theory

Cited by in corpus (12)

• Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
• Measuring out-of-time-ordered correlation functions without reversing time evolution
• Quantum Regression theorem for multi-time correlators : A detailed analysis in the Heisenberg Picture
• Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments
• Quantum chaos in the Dicke model and its variants
• Time-resolved physical spectrum in cavity quantum electrodynamics
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
• How to describe collective decay of uncoupled modes in the input-output formalism
• Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
• Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model
• Quantum regression theorem in the Unruh-DeWitt battery