Enhanced quantum synchronization of a driven qubit under non-Markovian dynamics

Fuente: arXiv
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Autori principali: Chen, Po-Wen, Radhakrishnan, Chandrashekar, Ali, Md. Manirul
Natura: Preprint
Pubblicazione: 2023
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author Chen, Po-Wen
Radhakrishnan, Chandrashekar
Ali, Md. Manirul
author_facet Chen, Po-Wen
Radhakrishnan, Chandrashekar
Ali, Md. Manirul
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_05664
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Enhanced quantum synchronization of a driven qubit under non-Markovian dynamics
Chen, Po-Wen
Radhakrishnan, Chandrashekar
Ali, Md. Manirul
Quantum Physics
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.
title Enhanced quantum synchronization of a driven qubit under non-Markovian dynamics
topic Quantum Physics
url https://arxiv.org/abs/2311.05664