Evolution of a two-mode squeezed vacuum for amplitude decay via continuous-variable entangled state approach |
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| Authors: | Xiang-Guo Meng Ji-Suo Wang Bao-Long Liang Cheng-Xuan Han |
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| Affiliation: | 1. School of Physical Science and Information Engineerig, Liaocheng University, Liaocheng 252059, China2. Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China3. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China |
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| Abstract: | Extending the recent work completed by Fan et al. [Front. Phys. 9(1), 74 (2014)] to a two-mode case, we investigate how a two-mode squeezed vacuum evolves when it undergoes a two-mode amplitude dissipative channel, with the same decay rate κ, using the continuous-variable entangled state approach. Our analytical results show that the initial pure-squeezed vacuum state evolves into a definite mixed state with entanglement and squeezing, decaying over time as a result of amplitude decay. We also investigate the time evolutions of the photon number distribution, the Wigner function, and the optical tomogram in this channel. Our results indicate that the evolved photon number distribution is related to Jacobi polynomials, the Wigner function has a standard Gaussian distribution (corresponding to the vacuum) at long periods, losing its nonclassicality due to amplitude decay, and a larger squeezing leads to a longer decay time. |
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| Keywords: | two-mode squeezed vacuum amplitude decay continuous-variable entangled state representation photon number distribution Wigner function optical tomogram |
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