通过量子压缩增强引力诱导纠缠

中文摘要 AI 辅助

本文探讨了在两个量子力学粒子系统中，引力在压缩相干态上产生量子纠缠的过程。粒子被建模为谐振子，其引力相互作用由相互作用势描述。利用纠缠的线性熵研究了引力诱导纠缠的动力学。通过高斯积分和协方差方法，获得了线性熵的解析表达式。在短时间弱耦合区域，观察到纠缠与时间间隔的平方、相互作用强度的平方以及模式的压缩参数成正比。这些结果为在具有引力相互作用的系统中，量子压缩对纠缠产生的影响提供了见解。解析和数值结果表明，动量压缩可以增强引力诱导的量子纠缠。

英文摘要

Gravitational generation of quantum entanglement on squeezed coherent states in a system of two quantum mechanical particles is explored. The particles are modeled as harmonic oscillators, and their gravitational interaction is described by an interaction potential. Dynamics of the gravi- tationally induced entanglement is explored using the linear entropy of entanglement. An analytical expression for the linear entropy is obtained via Gaussian integration and covariance method. In the short-time weakly coupled regime, it is observed that the entanglement is proportional to the square of the time interval, square of the interaction strength, and proportional to the squeezing parameters of the modes. These results provide insights into the effects of quantum squeezing on entanglement generation in systems with gravitational interactions. Analytically and numerically it is shown that momentum squeezing can enhance gravitationally induced quantum entanglement.

发表机构

• GITAM Deemed to be University

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