Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence

Abstract

Quantum decoherence is the disappearance of simple phase relations within a discrete quantum system as a result of interactions with an environment. For many applications, the question is not necessarily how to avoid (inevitable) system-environment interactions, but rather how to design environments that optimally preserve a system's phase relations in spite of such interactions. The formation of system-environment entanglement is a major driving mechanism for decoherence, and a detailed understanding of this process could inform strategies for conserving coherence optimally. This requires scalable, flexible, and systematically improvable quantum dynamical methods that retain detailed information about the entanglement properties of the environment, yet very few current methods offer this combination of features. Here, we address this need by introducing a theoretical framework wherein we combine the truncated Wigner approximation with standard time-dependent perturbation theory allowing for computing expectation values of operators in the combined system-environment Hilbert space. We demonstrate the utility of this framework by applying it to the spin-boson model, representative of qubits and simple donor-acceptor systems. For this model, our framework provides an analytical description of perturbative contributions to expectation values. We monitor how quantum decoherence at zero temperature is accompanied by entanglement formation with individual environmental degrees of freedom. Based on this entanglement behavior, we find that the selective suppression of low-frequency environmental modes is particularly effective for mitigating quantum decoherence.

References in corpus (26)

• Quantum sensing
• Phase space representation of quantum dynamics
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Efficient simulation of strong system-environment interactions
• Perspectives on quantum transduction
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• The non-Markovian stochastic Schrodinger equation for open systems
• Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
• Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
• Multi-Layer Multi-Configuration Time-Dependent Hartree (ML-MCTDH) Approach to the Correlated Exciton-Vibrational Dynamics in the FMO Complex
• Efficient simulation of non-Markovian system-environment interaction
• Quantum and classical correlations in quantum Brownian motion
• Initial System-Environment Correlations via the Transfer Tensor Method
• System-bath entanglement in nanothermodynamics
• Extending the applicability of Redfield theories into highly non-Markovian regimes
• Decoherence and the Nature of System-Environment Correlations
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• Calculation of coherences in Foerster and modified Redfield theories of excitation energy transfer
• System-environment correlations and Non-Markovian dynamics
• Purity as a witness for initial system-environment correlations in open-system dynamics
• Criteria for system-environment entanglement generation for systems of any size in pure-dephasing evolutions
• System-environment correlations for dephasing two-qubit states coupled to thermal baths
• Entanglement generation between a charge qubit and its bosonic environment during pure dephasing - dependence on environment size