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Squeezing and displacing related two-mode squeezed coherent state

Fan Hong‐Yi, Fan Yue

Chinese Science BulletinJun 1, 19981 citation

Sum Squeezing, Difference Squeezing, Higher-Order Antibunching and Entanglement of Two-Mode Photon-Added Displaced Squeezed States

Truong Minh Duc, Xuan-Hoai Thi Nguyen, Nguyen Ba An

International Journal of Theoretical PhysicsNov 5, 201333 citations

Photon distribution in two-mode squeezed coherent states with complex displacement and squeeze parameters

Mary Selvadoray, Manoranjan Kumar, R. Simon

Two-mode squeezed coherent states with complex squeeze and displacement parameters are studied, taking advantage of the SU(2) dynamical symmetry underlying two-mode systems. Expressions for the photon distributions in such states are derived using an SU(2) identity and the fact that the two-mode squeeze operator can be viewed as a rotated version of the product of reciprocal single-mode squeeze operators. An important U(1)\ifmmode\times\else\texttimes\fi{}U(1) invariance of this photon distribution is established. As a consequence, the three phases of the complex squeeze and displacement parameters enter the photon distribution through just one U(1)\ifmmode\times\else\texttimes\fi{}U(1) invariant combination. An associated Gouy effect is noted. Numerical examples of two-mode photon distributions are shown, and interesting new features demonstrated. Second-order coherence properties and their nonclassical nature are briefly studied.Two-mode squeezed coherent states with complex squeeze and displacement parameters are studied, taking advantage of the SU(2) dynamical symmetry underlying two-mode systems. Expressions for the photon distributions in such states are derived using an SU(2) identity and the fact that the two-mode squeeze operator can be viewed as a rotated version of the product of reciprocal single-mode squeeze operators. An important U(1)\ifmmode\times\else\texttimes\fi{}U(1) invariance of this photon distribution is established. As a consequence, the three phases of the complex squeeze and displacement parameters enter the photon distribution through just one U(1)\ifmmode\times\else\texttimes\fi{}U(1) invariant combination. An associated Gouy effect is noted. Numerical examples of two-mode photon distributions are shown, and interesting new features demonstrated. Second-order coherence properties and their nonclassical nature are briefly studied.

Physical Review AJun 1, 199439 citations

2a-D-7 Squeezed Coherent State アプローチによる半古典的記述と幾何学的位相

保彦津江

秋の分科会講演予稿集Sep 14, 19920 citations

Coherent Phase State and Squeezed Phase State

Jeffrey H. Shapiro, Scott Roger Shepard, N. C. Wong

Springer eBooksJan 1, 19904 citations

Enhanced phase estimation with a displaced two-mode squeezed coherent state

Pengxiang Ruan, Jun Liu, Dong-Xu Chen

Compared to classical state inputs, using quantum states in interferometers, especially squeezed states, can greatly improve the accuracy of the phase estimation. Here, we propose a scheme based on a Mach-Zehnder interferometer with a displaced two-mode squeezed coherent state input. The scheme employs both intensity difference detection and balanced homodyne detection to achieve high phase sensitivity. The displaced squeezed state exhibits higher accuracy and better robustness by theoretical calculations. For the state, the phase sensitivity of the quantum Cramér-Rao bound and intensity difference detection both exceed the shot noise limit. Additionally, we demonstrate that the proposed state is superior to the two-mode squeezed coherent state by analyzing different displacement operations. Under the presence of both the interferometric transmission loss and the detection loss, higher displacement strength yields higher robustness. To the best of our knowledge, our work provides new ideas for the field of precision measurement.Compared to classical state inputs, using quantum states in interferometers, especially squeezed states, can greatly improve the accuracy of the phase estimation. Here, we propose a scheme based on a Mach-Zehnder interferometer with a displaced two-mode squeezed coherent state input. The scheme employs both intensity difference detection and balanced homodyne detection to achieve high phase sensitivity. The displaced squeezed state exhibits higher accuracy and better robustness by theoretical calculations. For the state, the phase sensitivity of the quantum Cramér-Rao bound and intensity difference detection both exceed the shot noise limit. Additionally, we demonstrate that the proposed state is superior to the two-mode squeezed coherent state by analyzing different displacement operations. Under the presence of both the interferometric transmission loss and the detection loss, higher displacement strength yields higher robustness. To the best of our knowledge, our work provides new ideas for the field of precision measurement.

Optics ExpressNov 4, 20250 citations

Squeezing and displacing related two-mode squeezed coherent state

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Squeezing and displacing related two-mode squeezed coherent state

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