二维旋转谐振子势中单粒子的跳频压缩及演化

Squeezing and evolution of single particle by frequency jumping in two-dimensional rotating harmonic

本文主要研究二维旋转谐振子势中单粒子的动力学行为,通过跳频的方式分析该粒子的压缩演化过程,并分析了相应的物理机制.一方面,研究跳频过程对回旋半径模式的压缩演化,通过选择适当的跳频时刻,分析跳频过程对压缩的影响.研究表明,回旋半径坐标的压缩程度并未在跳频时刻发生改变,但可在后续的演化中出现更强的压缩现象.另一方面,主要研究跳频过程中心导向模式的压缩演化.通过参数的选择,分析了两种压缩模式,即发散模式和振荡模式的压缩及演化.有趣的是,在中心导向模式压缩中,外势存在一个由旋转角速度决定的临界势阱纵横比.压缩模式在此处发生突变,且在振荡模式中,势阱纵横比趋于该临界值时,将出现明显的压缩.

The control of microscopic particle behavior based on a specific external field has always been a research hotspot in the field of physics.Many studies have been exploring various methods to manipulate and control the behavior of particles at a microscopic level.In this work,we investigate the phenomenon of single-particle squeezing induced by frequency jumping in a two-dimensional rotating harmonic oscillator potential.Squeezing,as a quantum mechanical phenomenon,has attracted significant attention due to its potential applications in various fields.It refers to the reduction of fluctuations in certain physical quantities,allowing for more precise measurement results.Squeezing phenomena have been extensively studied in different physical systems,including optics,atomic physics,and solid-state physics.However,there have been few reports on the quantum state squeezing phenomenon induced by frequency jumping in a rotating harmonic oscillator potential.Therefore,our study aims to fill this gap and shed light on this intriguing phenomenon.To explore the squeezing phenomenon induced by frequency jumping,we focus on the fluctuations and squeezing of the single particle’s cyclotron radius coordinate and center-guided coordinate in the two-dimensional rotating harmonic oscillator potential.Through numerical simulations and theoretical analysis,we can understand the influence of frequency jumping on the degree of squeezing and reveal the underlying physical mechanism of squeezing evolution.In this work,we first investigate the influence of frequency jumping on the squeezing evolution of the cyclotron radius mode.By carefully selecting appropriate jumping moments,we analyze the influence of frequency jumping on the degree of squeezing.Our research results show that the degree of squeezing in the cyclotron radius coordinate remains unchanged at the jumping moment.However,we observe a stronger squeezing phenomenon in the subsequent evolution process.This indicates that frequency jumping plays a crucial role in squeezing evolution of the cyclotron radius mode.Furthermore,we focus on the squeezing evolution of the center-guided mode during frequency jumping.By selecting suitable parameters,we analyze the squeezing and evolution of two squeezing modes:the divergent mode and the oscillatory mode.Interestingly,we discover the existence of a critical potential trap aspect ratio,which is determined by the rotation angular velocity of the external potential.When the aspect ratio approaches this critical value,the squeezing mode undergoes a transition,and a significant squeezing phenomenon appears in the oscillatory mode.This finding provides valuable insights into the origin and control of squeezing phenomena.Finally,we discuss the potential applications of these squeezing phenomena.Squeezing has significant implications in the fields of quantum sensing and quantum information processing.Through a deeper understanding of the squeezing evolution process caused by frequency jump,we can better control the microscopic particle behavior through external field.This knowledge opens up new possibilities for future physical research and technical applications.