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首页> 外文会议>Progress in electromagnetics research symposium >Stability of Nonlinear 2D-tunnel Bifurcations in Systems of Interacting Quantum Molecules in the Metamaterial Matrix
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Stability of Nonlinear 2D-tunnel Bifurcations in Systems of Interacting Quantum Molecules in the Metamaterial Matrix

机译：超材料矩阵中相互作用量子分子系统中非线性二维隧道分叉的稳定性

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The problem of controllability for 2D-tunnel bifurcations in systems with quantum molecules in a dielectric matrix of a metamaterial in the external electric field at finite temperature has been investigated. Usage of the quantum tunneling with dissipation theory to study the interaction of quantum molecules with contact environment is productive, because, despite of the instanton approach usage, it is possible to obtain the main results in the analytical form with account of the environment influence on the process of tunneling, whereas other commonly used approaches give not such possibility. A theoretical study of the electric field influence on the 2D-quantum tunneling for quantum molecules in the matrix of a metamaterial (with negative effective permittivity) at finite temperature has been fulfilled in the instanton approximation. It is shown that a stable regime of 2D-bifurcations in such matrix can take place in a more narrower range of parameters than in case of usual dielectric matrix. An important problem in this case is to identify the range of experimentally realizable values of the relative dielectric permittivity (including negative values) for the matrix environment, which allow to realize the 2D-bifurcations regime. A range of the control parameters (electric field, temperature, and the relative permittivity of the metamaterial matrix), in which the regime of stable 2D-bifurcations in the system of quantum molecules, as well as in the system "AFM/STM cantilever-quantum dot or quantum molecule" can take place, has been theoretically investigated. The "phase diagram" for the stable 2D-bifurcations regime for tunnel current in the matrix of a metamaterial in dependence on controllable parameters (the inverse temperature, electric field intensity and values of the (negative) relative permittivity for the heat-bath environmental matrix), has been represented. It is shown that in contrast to usual dielectric matrices in case of the metamaterial matrix the region of stable 2D-bifurcation is significantly narrowed, which is probably due to inversion of the sign of the tunneling particles interaction.
机译：研究了在有限温度下外部电场中超材料介电矩阵中量子分子在系统中的二维隧道分叉的可控性问题。使用耗散理论的量子隧穿来研究量子分子与接触环境的相互作用是有成效的，因为尽管使用了瞬时方法，但考虑到环境对分子的影响，仍可能以分析形式获得主要结果。隧道过程，而其他常用方法则没有这种可能性。在瞬间温度近似下，已经完成了电场对超材料（具有负有效介电常数）的量子分子在有限温度下对二维量子隧穿的影响的理论研究。结果表明，与常规的电介质基体相比，这种基体中二维分叉的稳定状态可以在更窄的参数范围内发生。在这种情况下，一个重要的问题是确定基质环境的相对介电常数的实验可实现值的范围（包括负值），从而可以实现二维分叉状态。一系列控制参数（电场，温度和超材料基质的相对介电常数），其中量子分子系统以及“ AFM / STM悬臂- “量子点或量子分子”可以发生，已在理论上进行了研究。取决于可控参数（逆温度，电场强度和热浴环境矩阵的（负）相对介电常数的值），超材料基质中隧道电流的稳定2D分叉状态的“相图” ），已被代表。结果表明，与通常的介电矩阵相比，在超材料矩阵的情况下，稳定的2D分叉区域明显变窄，这可能是由于隧道粒子相互作用的符号反转所致。

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