Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
arXiv:2104.04248 · doi:10.1103/PhysRevResearch.6.013243
Abstract
Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that mask dependence of the system dynamics on correlations, since the MEs focus on reduced system dynamics. Here we demonstrate that the most common MEs indeed contain hidden information about explicit system-environment correlation. We unfold these correlations by recasting the MEs into a universal form in which the system-bath correlation operator appears. The equations include the Lindblad, Redfield, second-order time-convolutionless, second-order Nakajima-Zwanzig, and second-order universal Lindblad-like cases. We further illustrate our results in an example, which implies that the second-order universal Lindblad-like equation captures correlation more accurately than other standard techniques.
References in corpus (65)
- Quantum entanglement
- Quantum Cryptography
- The Quantum Internet
- Quantum Simulation
- Quantifying Coherence
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- The classical-quantum boundary for correlations: discord and related measures
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Open Quantum Systems. An Introduction
- Prescription for experimental determination of the dynamics of a quantum black box
- Quantum metrology from a quantum information science perspective
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Almost all quantum states have non-classical correlations
- Towards understanding two-level-systems in amorphous solids -- Insights from quantum circuits
- Quantum Phase Transitions and Bipartite Entanglement
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Measures and applications of quantum correlations
- Using entanglement against noise in quantum metrology
- Ancilla-assisted quantum process tomography
- Stochastic wave function method for non-Markovian quantum master equations
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Tomography of Quantum Operations
- Classical Correlations and Entanglement in Quantum Measurements
- Using entanglement improves precision of quantum measurements
- Markovian Master Equations: A Critical Study
- Quantum discord and its allies: a review
- Universal Lindblad equation for open quantum systems
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Quantum discord as a resource for quantum cryptography
- Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
- Quantum Time
- Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Initial correlations in open system's dynamics: The Jaynes-Cummings model
- Strong Coupling Thermodynamics of Open Quantum Systems
- Energy transfer in structured and unstructured environments: master equations beyond the Born-Markov approximations
- Staying positive: going beyond Lindblad with perturbative master equations
- Quantum Correlation Without Classical Correlations
- Generalized Gibbs state with modified Redfield solution: Exact agreement up to second order
- A general framework for complete positivity
- Correlations in quantum thermodynamics: Heat, work, and entropy production
- Non-Markovian dynamics of a damped driven two-state system
- Evolution without evolution, and without ambiguities
- Adding dynamical generators in quantum master equations
- Tomographically reconstructed master equations for any open quantum dynamics
- Kraus representation in the presence of initial correlations
- Lindbladian approximation beyond ultra-weak coupling
- Correlations as a resource in quantum thermodynamics
- Modified Bloch-Redfield Master Equation for Incoherent Excitation of Multilevel Quantum Systems
- Electronic Decoherence of Two-Level Systems in a Josephson Junction
- Correlation Picture Approach to Open-Quantum-System Dynamics
- On the dynamics of initially correlated open quantum systems: theory and applications
- Entanglement and quantum phase transitions in matrix product spin one chains
- State leakage during fast decay and control of a superconducting transmon qubit
- Correlations for computation and computation for correlations
- Quantum Process Estimation via Generic Two-Body Correlations
- Heat pump driven entirely by quantum correlation
- Enhancing energy transfer in quantum systems via periodic driving: Floquet master equations
- Necessary and sufficient condition for the reduced dynamics of an open quantum system interacting with an environment to be linear
- Mutual Information is not a Reliable Measure for Variations in Total Correlations
- Correlation-Enabled Energy Exchange in Quantum Systems without External Driving
- Role of correlations in the thermalization of quantum systems