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Communications in Theoretical Physics

Properties and Generation of Photon-Added Schrödinger Cat States

Zhongjie Wang, Xiaodong Zhang, Cong Li

Published Mar 1, 2012• 0 citations
Publisher

Abstract

We have investigated the intensity squeezing of superposition of two photon-added coherent states and proposed a new method for preparation of photon-added coherent states and their superposition states. This method is based on interaction of the trapped ion with the traveling wave light fields with different frequencies.
DOI
10.1088/0253-6102/57/3/18

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Optical "Schrödinger cat" states, the non-classical superposition of two quasi-classical coherent states, serve as a basis for gedanken experiments testing quantum physics on mesoscopic scales and are increasingly recognized as a resource for quantum information processing. Here, we report the first experimental realization of optical "Schrödinger cats" by adding a photon to a squeezed vacuum state, so far only photon-subtraction protocols have been realized. Photon-addition gives us the advantage of using heralded signal photons as experimental triggers, and we can generate "Schrödinger cats" at rates exceeding 8.5×1048.5 \times 10^48.5×104 counts per second; at least one order of magnitude higher than all previously reported realizations. Wigner distributions with pronounced negative parts are demonstrated at down to -8.89 dB squeezing, even when the initial squeezed vacuum input state has low purity. Benchmarking against such a degraded squeezed input state we report a maximum fidelity of more than 80% with a maximum cat amplitude of ∣α∣≈1.66|α| \approx 1.66∣α∣≈1.66. Our experiment uses photon-addition from pairs, one of those photons is used for monitoring, giving us enhanced control; moreover the pair production rates are high and should allow for repeated application of photon-addition via repeat-stages.
Entanglment properties of photon-added two-mode entangled coherent states are analyzed and analytical expression of the concurrence entanglement is obtained.The results show that the concurrence of the photon-added entangled coherent states is very sensitive to the superposition phase.Schemes for preparation of photon-added coherent states and photon-added two-mode entangled coherent states are also proposed.The preparation procession of the photon-added coherent states is that the photon-added coherent states are firstly tansformed into a superposition state of coherent state and vacuum state(the superposition coefficient is associated with amplitude of the coherent state),then by applying the interaction of atom inside high-Q cavity with a classical light,finally added coherent states of cavity field is prepared.Preparation of photon-added two-mode entangled coherent states of cavity fields is based on interaction of the flying atom with two cavity fields.