Quantum Speed-Up Induced by the Quantum Phase Transition in a Nonlinear Dicke Model with Two Impurity Qubits
Quantum Speed-Up Induced by the Quantum Phase Transition in a Nonlinear Dicke Model with Two Impurity Qubits
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具有两个杂质量子位的非线性迪克模型中量子相变引起的量子加速
DOI：
10.3390/sym14122653
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发表时间：
2022-12
期刊：
影响因子：
--
通讯作者：
Shiqing Tang
中科院分区：
文献类型：
--
作者：
Wangjun Lu;Cuilu Zhai;Yan Liu;Yaju Song;Jibing Yuan;Songsong Li;Shiqing Tang
本文研究了迪凯量子相变对系统动力学演化速度的影响。在相变点处，与系统宇称算符相关联的对称性开始被破坏。通过比较两种类型的量子速度极限时间的大小，我们发现无论是在正常相还是超辐射相，系统的量子速度极限时间都是由其中一种量子速度极限时间所描述的。我们发现，在正常相位下，光场与原子之间的耦合强度对系统的动力学演化速度几乎没有影响。而在超辐射阶段，较强的原子-光子耦合强度会加速系统动力学的演化。最后，我们研究了系统初态的纠缠对系统动力学演化速度的影响。我们发现，在正常阶段，系统初态的纠缠对系统动力学的演化速度几乎没有影响。然而，在超辐射阶段，较大的纠缠度可以加速系统动力学的演化。并通过系统的实际演化验证了上述结论。
In this paper, we investigate the effect of the Dicke quantum phase transition on the speed of evolution of the system dynamics. At the phase transition point, the symmetry associated with the system parity operator begins to break down. By comparing the magnitudes of the two types of quantum speed limit times, we find that the quantum speed limit time of the system is described by one of the quantum speed limit times, whether in the normal or superradiant phase. We find that, in the normal phase, the strength of the coupling between the optical field and the atoms has little effect on the dynamical evolution speed of the system. However, in the superradiant phase, a stronger atom–photon coupling strength can accelerate the system dynamics’ evolution. Finally, we investigate the effect of the entanglement of the initial state of the system on the speed of evolution of the system dynamics. We find that in the normal phase, the entanglement of the initial state of the system has almost no effect on the system dynamics’ evolution speed. However, in the superradiant phase, larger entanglement of the system can accelerate the evolution of the system dynamics. Furthermore, we verify the above conclusions by the actual evolution of the system.
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DOI：
10.1364/qim.2013.w6.32
发表时间：
2013-06
期刊：
--
影响因子：
--
作者：
M. M. Taddei-M.;B. Escher;L. Davidovich;R. L. D. M. Filho
通讯作者：
M. M. Taddei-M.;B. Escher;L. Davidovich;R. L. D. M. Filho
影响因子：
2.9
作者：
Nicolás Mirkin;F. Toscano;D. Wisniacki
通讯作者：
Nicolás Mirkin;F. Toscano;D. Wisniacki
影响因子：
--
作者：
S. Nakajima
通讯作者：
S. Nakajima
影响因子：
2.9
作者：
Shen-Shuang Nie;Feng-Hua Ren;Runhong He;Jing Wu;Zhao-Ming Wang
通讯作者：
Shen-Shuang Nie;Feng-Hua Ren;Runhong He;Jing Wu;Zhao-Ming Wang
影响因子：
6.4
作者：
Francesco Campaioli;F. A. Pollock;K. Modi
通讯作者：
Francesco Campaioli;F. A. Pollock;K. Modi