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Laser Physics Letters

Improving quantum synchronization by manipulating auxiliary qubits in a dissipative model

Jia-Tao Luo, Li Li, He Wei, Tao Jing, Zhi He

Published Dec 18, 2024• 3 citations
Publisher

Abstract

Abstract Quantum phase synchronization is studied in a dissipative model via an analytic approach. It is found that a robust phase preference using the Husimi Q-function against decoherence for both the Markovian and non-Markovian regimes can be obtained by manipulating auxiliary qubits in a reservoir. Specifically, we show that quantum phase synchronization can be significantly improved by adding a number of auxiliary qubits for both the Markovian and non-Markovian regimes. We also find that a steady quantum phase synchronization can be obtained in the long-time limit, which is only dependent on the number of auxiliary qubits regardless of the Markovian or non-Markovian regimes. We give some intuitive interpretations of the obtained results. Overall, our results are of theoretical interest in the enhancement of quantum phase synchronization in noisy environments, and may have potential applications in quantum information science.

DOI
10.1088/1612-202x/ad9d22

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Abstract Quantum phase synchronization is studied in a dissipative model via an analytic approach. It is found that a robust phase preference using the Husimi Q-function against decoherence for both the Markovian and non-Markovian regimes can be obtained by manipulating auxiliary qubits in a reservoir. Specifically, we show that quantum phase synchronization can be significantly improved by adding a number of auxiliary qubits for both the Markovian and non-Markovian regimes. We also find that a steady quantum phase synchronization can be obtained in the long-time limit, which is only dependent on the number of auxiliary qubits regardless of the Markovian or non-Markovian regimes. We give some intuitive interpretations of the obtained results. Overall, our results are of theoretical interest in the enhancement of quantum phase synchronization in noisy environments, and may have potential applications in quantum information science.
We investigate how detuning and auxiliary qubits collaboratively enhance quantum synchronization in a dissipative multi-qubit system that is coupled to a structured reservoir. Our findings indicate that while detuning is ineffective in Markovian environments, it emerges as a powerful control parameter in the non-Markovian regime, where environmental memory facilitates long-lived phase coherence. It is shown that adding more auxiliary qubits amplifies this effect by strengthening the collective coupling and enhancing memory, resulting in robust phase locking within the system. Analysis using the Husimi Q-function, synchronization measures, and Arnold tongue structures reveals a detuning-induced enhancement of phase locking, which significantly improves stability compared to the resonance case. These results establish a cooperative control strategy where detuning actively engineers phases, while auxiliary qubits provide the necessary memory for sustained synchronization.
We investigate how detuning and auxiliary qubits collaboratively enhance quantum synchronization in a dissipative multi-qubit system that is coupled to a structured reservoir. Our findings indicate that while detuning is ineffective in Markovian environments, it emerges as a powerful control parameter in the non-Markovian regime, where environmental memory facilitates long-lived phase coherence. It is shown that adding more auxiliary qubits amplifies this effect by strengthening the collective coupling and enhancing memory, resulting in robust phase locking within the system. Analysis using the Husimi Q-function, synchronization measures, and Arnold tongue structures reveals a detuning-induced enhancement of phase locking, which significantly improves stability compared to the resonance case. These results establish a cooperative control strategy where detuning actively engineers phases, while auxiliary qubits provide the necessary memory for sustained synchronization.
Synchronizing a few-level quantum system is of fundamental importance to the understanding of synchronization in the deep quantum regime. We investigate quantum phase synchronization of a two-level system (qubit) driven by a semiclassical laser field, in the presence of a general non-Markovian dissipative environment. The phase preference of the qubit is demonstrated through Husimi Q-function, and the existence of a limit cycle is also shown in our system. Synchronization of the qubit is quantified using the shifted phase distribution. The signature of quantum phase synchronization viz the Arnold tongue is obtained from the maximal value of the shifted phase distribution. Two distinct types of qubit dynamics is considered depending on the reservoir correlation time being very short and a situation when bath correlation time is finite. In the Markov regime of the environment, the phase preference of the qubit goes away in the long time limit, whereas the long-time phase localization persists in the non-Markovian regime. We also plot the maximum of the shifted phase distribution in two ways: (a) by varying the detuning and laser driving strength, and (b) by varying the system-bath coupling and laser driving strength. Various system-environment parameters determine the synchronization regions and the qubit phase synchronization is shown to be enhanced in the non-Markov regime.
Synchronizing a few-level quantum system is of fundamental importance to the understanding of synchronization in the deep quantum regime. We investigate quantum phase synchronization of a two-level system (qubit) driven by a semiclassical laser field, in the presence of a dissipative environment having finite bath correlation. The phase preference of the qubit is demonstrated through the Husimi Q-function, and the existence of a limit cycle is also shown in our system. Synchronization of the qubit is quantified using the shifted phase distribution. The signature of quantum phase synchronization viz. the Arnold tongue is obtained from the maximal value of the shifted phase distribution. Two distinct types of qubit dynamics are considered depending on the reservoir correlation time being very short and a situation when bath correlation time is finite. When the reservoir’s frequency spectrum is broad and the bath correlation time is short, the qubit’s phase preference vanishes in the long-time limit. In contrast, a finite bath correlation time and narrow spectral density result in persistent long-time phase localization. The synchronization regions are governed by system–environment parameters, with qubit phase synchronization being enhanced when the reservoir exhibits a narrow frequency spectrum.
The phase synchronization of a single qubit in a dissipative bath in the absence of driving field is demonstrated. Using the Husimi QQQ-function we show that the phase preference is present in the long time limit only during non-Markovian evolution with a finite detuning. This happens due to the information backflow signifying that non-Markovianity is a resource for quantum synchronization. To quantify synchronization we use the shifted phase distribution as well as its maximal value. From the maximal value of the shifted phase distribution we observe the signatures of quantum synchronization {\it viz} the Arnold tongue. In our case the region ofsynchronization is outside the tongue region and the region inside the tongue is the desynchronized region. This is in contrast to the results in the literature, where the synchronization is within the tongue region.
Detuned systems can spontaneously achieve a synchronous dynamics and display robust quantum correlations in different local and global dissipation regimes. Beyond the Markovian limit, information backflow from the environment becomes a crucial mechanism whose interplay with spontaneous synchronization is unknown. Considering a model of two coupled qubits, one of which interacts with a dissipative environment, we show that non-Markovianity is highly detrimental for the emergence of synchronization, for the latter can be delayed and hindered because of the presence of information backflow. The results are obtained considering both a master equation approach and a collision model based on repeated interactions, which represents a very versatile tool to tailor the desired kind of environment.