Role of initial system-environment correlations: A master equation approach

Abstract

In order to achieve practical implementations of emerging quantum technologies, it is important to have a firm understanding of the dynamics of realistic quantum open systems. Master equations provide a widely used tool in this regard. In this work, we first construct a master equation, valid for weak system-environment coupling, which explicitly takes into account the impact of preparing an initial system state from an equilibrium system-environment state that has system-environment correlations. We then investigate the role of initial system-environment correlations using this master equation for a system consisting of many two-level atoms interacting with a common environment. We show that, in general, due to the initial system-environment correlations before a state preparation, the quantum state of the system can evolve at a faster time-scale. Moreover, we also consider different initial state preparations, and demonstrate that the influence of state preparations depends on the initial states prepared. Our results can be of interest to many topics based on quantum open systems where system-environment correlation effects have been neglected before.

15 pages, 11 figures, published in Phys. Rev. A

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• How Electronic Dynamics with Pauli Exclusion Produces Fermi-Dirac Statistics
• Fundamental limits on anomalous energy flows in correlated quantum systems
• Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function
• Effect of initial system-environment correlations with spin environments
• Enhancement of coherence in qubits due to interaction with environment
• A weak-coupling master equation for arbitrary initial conditions
• Quantum Mpemba effect from initial system-reservoir entanglement
• Geometric phase corrected by initial system-environment correlations
• The quantum Zeno and anti-Zeno effects: from weak to strong system-environment coupling
• Peculiarities of qubit initial-state preparation by nonselective measurements on an overcomplete basis
• Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario
• Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
• Perturbative Dynamics of Open Quantum Systems by Renormalization Group Method
• A master equation incorporating the system-environment correlations present in the joint equilibrium state
• The quantum Zeno and anti-Zeno effects with strong system-environment coupling
• Time evolution of quantum correlations in presence of state dependent bath