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Laser Physics Letters

The enhancement of quantum steering weight and nonlocality of a non-Markovian dissipative systems

Xiaoqian Li, Yongjun Xiao, Yu Li, Qi-Liang He

Published Nov 1, 2025• 0 citations
Publisher

Abstract

Abstract We investigate the dynamics of steerable weight and quantum nonlocality in a driven system consisting of two independent two-state system, within the framework of non-Markovian dissipative processes. The influences of memory effects, classical driving, and detunings on both steerable weight and nonlocality are examined by obtaining an exact solution of the system dynamics under the rotating-wave approximation. By comparison with the results obtained in the presence of Markovian dissipation, we reveal that classical driving can significantly enhance both steerable weight and nonlocality in the non-Markovian regime. Moreover, even in the presence of non-Markovian dissipation, the values of steerable weight and nonlocality can be maintained for a prolonged duration with the assistance of classical driving. Remarkably, our results demonstrate that the enhancement and preservation of steerable weight and nonlocality strongly depend on the combined effects of classical driving and non-Markovian effects.

DOI
10.1088/1612-202x/ae1e6a

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Abstract We investigate the dynamics of steerable weight and quantum nonlocality in a driven system consisting of two independent two-state system, within the framework of non-Markovian dissipative processes. The influences of memory effects, classical driving, and detunings on both steerable weight and nonlocality are examined by obtaining an exact solution of the system dynamics under the rotating-wave approximation. By comparison with the results obtained in the presence of Markovian dissipation, we reveal that classical driving can significantly enhance both steerable weight and nonlocality in the non-Markovian regime. Moreover, even in the presence of non-Markovian dissipation, the values of steerable weight and nonlocality can be maintained for a prolonged duration with the assistance of classical driving. Remarkably, our results demonstrate that the enhancement and preservation of steerable weight and nonlocality strongly depend on the combined effects of classical driving and non-Markovian effects.
The dynamics of quantum Fisher information (QFI) of the phase parameter in a driven two-state system is studied within the framework of the non-Markovian dissipative process. The influences of memory effects, classical driving, and detunings on the parameter-estimation precision are demonstrated by exactly solving the Hamiltonian under rotating-wave approximation. In sharp contrast with the results obtained in the presence of Markovian dissipation, we find that classical driving can drastically enhance the QFI, namely, the precision of parameter estimation in the non-Markovian regime. Moreover, the parameter-estimation precision may even be preserved from the influence of surrounding non-Markovian dissipation with the assistance of classical driving. Remarkably, we reveal that the enhancement and preservation of QFI highly depend on the combination of classical driving and non-Markovian effects. Finally, a phenomenological explanation of the underlying mechanism is presented in detail via the quasimode theory.
By considering an exactly solvable model for a driven two non-interacting qubits, each coupled to a bosonic environment with zero temperature, under the non-Markovian dissipative process, we study the variation of coherence and correlations in terms of different physical parameters. We show the influence of the external classical driving field as well as the initial quantum states. Moreover, we highlight the relationship between the coherence, single-qubit population, and correlations according to the physical parameters of the whole system. We reveal that the preservation and enhancement of coherence and correlations may occur by adjusting the strength of the classical driving field, initial states, and non-Markovian effects.
Abstract We investigate the transient non-Markovian dynamics of quantum nonlocality for a pair of two-level atoms coupled to a common thermal-squeezed environment. We use Bell-CHSH inequality, steering inequality, and entanglement as theoretical tools to investigate the nonlocality dynamics. We see significant differences between the non-Markovian nonlocality dynamics and its Markovian counterpart. We mainly focus on quantum steering nonlocality which has gained much interest recently. An enhanced quantum nonlocality is shown through the violation of steering inequality and entanglement in the non-Markovian regime of the structured environment. A close correspondence is shown between steering nonlocality and entanglement dynamics.
We investigate the non-Markovian dynamics of quantum steering in a tripartite photonic system subject to dephasing noise. By developing a theoretical framework based on the single-photon dephasing model extended to three independent photons, we analyze the temporal evolution of steering measures SA-BC and SAB-C for two distinct classes of initial states: W-type entangled states and GHZ-type mixed entangled states. The system is studied under various environmental configurations, ranging from fully Markovian to fully non-Markovian regimes, with asymmetric distributions of memory effects across the three photons. Our results reveal that the dynamics of tripartite steering are highly sensitive to both the number of photons coupled to non-Markovian environments and the specific partition of the system being considered. For W-states, non-Markovian effects induce oscillatory behavior with death-revival cycles, where the intervals of sudden death and revival amplitudes depend critically on the distribution of memory effects. For GHZ-states, we observe multiple death-revival cycles in some configurations and prolonged preservation of steering without complete sudden death in others. Notably, we find that non-Markovian environments significantly influence the dynamics of quantum steering through information backflow effects, with their impact depending sensitively on the subsystem to which the environment is coupled and on the roles of the steering and steered parties. These findings demonstrate that non-Markovian effects can significantly influence the preservation and degradation of directional quantum correlations, with their impact depending strongly on the coupling configuration and the choice of steering and steered subsystems. This behavior provides useful insight into the control of quantum steering in photonic networks and related quantum information processing tasks.
The exact dynamics of two qubits driven by classical fields and embedded in two independent non-Markovian environments is investigated. Quite different from the results in the absence of classical driving fields, it is shown that the phenomena of single-qubit population trapping and two-qubit entanglement preservation occur in the non-Markovian regime. Moreover, we show that the negative influence of detuning between qubits and the driving fields on the population trapping and entanglement preservation can be suppressed by increasing the Rabi frequency. Finally, a physical explanation is given via the quasimode theory.
The exact dynamics of an open quantum system consisting of one qubit driven by a classical driving field is investigated. Our attention is focused on the influences of single- and two-photon excitations on the dynamics of quantum coherence and quantum entanglement. It is shown that the atomic coherence can be improved or even maintained by the classical driving field, the non-Markovian effect, and the atom-reservoir detuning. The interconversion between the atomic coherence and the atom-reservoir entanglement exists and can be controlled by the appropriate conditions. The conservation of coherence for different partitions is explored, and the dynamics of a system with two-photon excitations is different from the case of single- photon excitation.