Quantum-Classical Correspondence for Adiabatic Shortcut in Two- and Three-Level Atoms

Quantum-Classical Correspondence for Adiabatic Shortcut in Two- and Three-Level Atoms
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二能级和三能级原子绝热捷径的量子经典对应

DOI:
10.1007/s10773-018-3979-9
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发表时间:
2019-01
影响因子:
1.4
通讯作者:
Sun H Y
Sun H Y
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Chen S Y;Zhang Y N;Yang J;Liu H D;Sun H Y

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通过非绝热过程快速实现绝热效应的方法近年来在量子和经典领域都引起了广泛的关注。本文利用量子-经典对应理论,将二能级和三能级原子的经典绝热捷径从量子态转化为经典态。结果表明,振子间的附加耦合可以加速耦合振子的绝热演化。此外,我们发现量子经典对应理论仍然适用于TQD的反绝热驱动哈密顿量。这意味着,我们可以通过对量子系统中的量子对应进行平均来获得经典系统的反绝热驱动哈密顿量。这为研究经典绝热捷径和模拟经典系统中的量子绝热捷径提供了一条可行的途径。
The methods of quickly achieving the adiabatic effect through a non-adiabatic process has recently drawn widely attention both in quantum and classical regime. In this work ,we study the classical adiabatic shortcut for two- and three-Level atoms by transforming the quantum version into classical one via quantum-classical corresponding theory. The results shows that, the additional couplings between the oscillators can be used to speed up the adiabatic evolution of coupled oscillators. Furthermore, we find that the quantum-classical correspondence theory still holds for the couter-adiabatic driving Hamiltonian for the TQD. This means that, we can obtain the counter-adiabatic driving Hamiltonian for a classical system by averaging over its quantum correspondence in a quantum system. This provides a feasible way to study the classical adiabatic shortcut and the simulation for the quantum adiabatic shortcut in a classical system.
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发表时间: 2013-10-04
期刊: PHYSICAL REVIEW A
影响因子: 2.9
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