Geometric phase for two-mode entangled squeezed-coherent states

IF 2.1 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

International Journal of Geometric Methods in Modern Physics Pub Date : 2024-03-25 DOI:10.1142/s0219887824501470

S. Mohammadi Almas, G. Najarbashi, A. Tavana

引用次数: 0

Abstract

In this paper, we investigate the geometric phase (GP) of two-mode entangled squeezed-coherent states (ESCSs), undergoing unitary cyclic evolution. Results show that increasing the squeezing parameter of either mode of the balanced ESCS compresses the GP elliptically with respect to the coherence parameter of the corresponding mode. While in the case of unbalanced ESCS, the GP is compressed hyperbolically by increasing the squeezing parameters of the either mode. By generalizing the approach to higher constituting-state dimensions, it is found that the GPs of both balanced and unbalanced ESCSs, increase for a specific value of the coherence parameter. By analyzing the states through the Schmidt decomposition method, we find that, locally, the balanced and unbalanced ESCSs are unitarily equivalent. Finally, based on the interferometry technique, we suggest a theoretical scheme for the physical generation of ESCSs.

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双模纠缠挤相干态的几何相位

本文研究了经历单元循环演化的双模纠缠挤压相干态（ESCS）的几何相位（GP）。结果表明，增加平衡 ESCS 任一模式的挤压参数，都会椭圆地压缩 GP，压缩程度与相应模式的相干参数有关。而在不平衡 ESCS 的情况下，通过增加任一模式的挤压参数，GP 会被双曲线压缩。通过将该方法推广到更高的构成状态维度，我们发现平衡和不平衡 ESCS 的 GP 都会在特定的相干参数值下增大。通过施密特分解法对状态进行分析，我们发现平衡和不平衡的 ESCS 在局部上是等价的。最后，基于干涉测量技术，我们提出了一种物理生成 ESCS 的理论方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Geometric Methods in Modern Physics 物理-物理：数学物理

CiteScore

3.40

自引率

22.20%

发文量

274

审稿时长

6 months

期刊介绍： This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.