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AIP conference proceedings

Entanglement and Decoherence in a Microscopic-Macroscopic system

Nicolò Spagnolo, Chiara Vitelli, Fabio Sciarrino, F. De Martini, Alexander I. Lvovsky

Published Jan 1, 2009• 0 citations
Publisher

Abstract

We investigate the quantum features, entanglement and resilience to losses, of multiphoton fields generated by optical amplification of photon entangled states. We first report the realization of a class of Microscopic‐Macroscopic entangled states of more than 5×104 photons, based on parametric amplification of single‐photon and two‐photons states. A non‐locality CHSH‐type test has been performed on this system. Then, we apply a decoherence model to this Micro‐Macroscopic entangled state, showing their high resilience to photon‐loss. The theoretical results are in full agreement with many experimental observations.

DOI
10.1063/1.3131309

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We investigate the quantum features, entanglement and resilience to losses, of multiphoton fields generated by optical amplification of photon entangled states. We first report the realization of a class of Microscopic‐Macroscopic entangled states of more than 5×104 photons, based on parametric amplification of single‐photon and two‐photons states. A non‐locality CHSH‐type test has been performed on this system. Then, we apply a decoherence model to this Micro‐Macroscopic entangled state, showing their high resilience to photon‐loss. The theoretical results are in full agreement with many experimental observations.
We discuss the conclusions that can be drawn on a recent experimental micro-macro entanglement test [De Martini, Sciarrino, and Vitelli, Phys. Rev. Lett. 100, 253601 (2008)]. The system under investigation is generated through optical parametric amplification of one photon belonging to an entangled pair. The adopted entanglement criterion makes it possible to infer the presence of entanglement before losses that occur on the macrostate under a specific assumption. In particular, an a priori knowledge of the system that generates the micro-macro pair is necessary to exclude a class of separable states that can reproduce the obtained experimental results. Finally, we discuss the feasibility of a micro-macro ``genuine'' entanglement test on the analyzed system by considering different strategies, which show that in principle a fraction $\ensuremath{\varepsilon}$, proportional to the number of photons that survive the lossy process, of the original entanglement persists in any loss regime.
In this work we present the realization of multiphoton quantum states, obtained by optical parametric amplification, and we investigate their perspectives and possible applications. The multiphoton quantum states are generated by a quantum-injected optical parametric amplifier (QI-OPA) seeded by a single-photon belonging to an EPR entangled pair. The entanglement between the micro-macroscopic photon system is experimentally demonstrated, and the possible applications of the macro-qubits states are presented and discussed.
We investigate the multiphoton states generated by high-gain optical parametric amplification of a single injected photon, polarization encoded as a "qubit". The experiment configuration exploits the optimal phase-covariant cloning in the high gain regime. The interference fringe pattern showing the non local transfer of coherence between the injected qubit and the mesoscopic amplified output field involving up to 4000 photons has been investigated. A probabilistic new method to extract full information about the multiparticle output wavefunction has been implemented. This technique can be adopted to test the entanglement between a microscopic system and a macro one.
We discuss the conclusions that can be drawn on a recent experimental micro-macro entanglement test [F. De Martini et. al, Phys. Rev. Lett. 100, 253601 (2008)]. The system under investigation is generated through optical parametric amplification of one photon belonging to an entangled pair. The adopted entanglement criterion allows to infer the presence of entanglement before losses, that occur on the macrostate, under specific assumptions. In particular, an a priori knowledge of the system that generates the micro-macro pair is necessary to exclude a class of separable states that can reproduce the obtained experimental results. Finally, we discuss the feasibility of a micro-macro “genuine” entanglement test on the analyzed system by considering different strategies, which show that in principle a fraction , proportional to the number of photons that survive the lossy process, of the original entanglement persists in any losses regime. PACS numbers: 03.67.Mn, 03.65.Ud, 03.67.Bg
A Bell test is performed on a Micro‐Macroscopic photon system obtained by parametric amplification of a spin‐1 entangled photon state. The optical parametric amplification leads to the creation of a Micro‐Macroscopic entangled system consisting of N≃3.5×104. The performed Bell’s inequality non locality test involves the adoption of a positive operator valued measurement (POVM) strategy for a sharper identification of the amplified states. This is obtained through a local filtering technique and the experimental data are found to violate the Bell’s inequality albeit with a loophole similar to the detection efficiency one in photon counting experiments.
Macro-micro entanglement originates from the Schrodinger's Cat paradox. The paradox has been attracting the interest of the physicists since it was proposed. Schrodinger's Cat paradox is a thought experiment that entangles a cat with some decay atoms, in which the entanglement between the macroscopic object and the microscopic atoms is established. Mac-micro entanglement relates to some important problems in quantum physics. It is more likely to interact with the surroundings for the quantum system as its size increases, which is the reason why we hardly observe the macroscopic superposition state. Can the superposition state theory of quantum physics be used in macro domain? Is there a limitation to the scale for the objects in the superposition states? These questions need studying and verifying in experiment. In addition, the preparation of the macro-micro entanglement state provides a new possibility to study the decoherence model. Macro-micro entanglement can be realized in many physical systems, such as atomic ensembles, superconducting circuits, electro-mechanical and opto-mechanical systems. Here in this paper we will introduce the development of macro-micro entanglement in optical system. The initial approach to creating the macro-micro entanglement in the context of optical system is quantum cloning by simulating the emission. Then the quantum-injected optical parametric amplification is used to amplify single photon to a macroscopic level. Afterwards, the displacement in phase space is proposed to create the macro-micro entanglement. Since the photon number of the macro-micro entanglement with the optical parametric amplification approach can be about 104, the studies towards the detection of this type of entanglement with human eyes have been extensively conducted. But it is realized that the coarse-grained measurements, such as those with the human eye, generally cannot judge whether macro-micro entanglement exists, and hence cannot be used to prove the considered type of micro-macro entanglement. A way of overcoming this difficulty is to invert the amplification process, bringing the macro system back to the micro level. The entanglement can then be verified by using single-photon detectors. Because local operation and classical communication cannot create entanglement, the de-amplification process will not increase the entanglement and the presence of the entanglement in the end shows that entanglement is present between the amplification and de-amplification process. Inspired by this thought, two groups create and verify mac-micro entanglement between one photon and 108 photons. What they used to amplify the micro states is the displacement operation in phase space, which can be realized by combining a single photon state and a coherent state with a highly asymmetric beam splitter. Because the entanglement is a precondition for a secure quantum key distribution, and the macro-micro entanglement has more photons than the traditional micro entanglement, we will discuss the possibility whether the macro-micro entanglement can be used in quantum key distribution and improve the distance of the quantum key distribution. We point out that the mac-micro entanglement and the binary reverse reconciliation continuous variable quantum key distribution protocol are the same in physics essence. We will introduce a quantum key distribution scheme with two phase entangled coherent states. Although the security proof of the scheme is not complete, it still provides us with the possibility to use the macro-micro entanglement in quantum key distribution.