dorsal/arxiv
View SchemaGeneration of entangled coherent states via cross phase modulation in a double electromagnetically induced transparency regime
| Authors | M. Paternostro, M. S. Kim, B. S. Ham |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207160 |
| URL | https://arxiv.org/abs/quant-ph/0207160 |
| DOI | 10.1103/PhysRevA.67.023811 |
| Journal | Phys. Rev. A 67, 023811 (2003) |
Abstract
The generation of an entangled coherent state is one of the most important ingredients of quantum information processing using coherent states. Recently, numerous schemes to achieve this task have been proposed. In order to generate travelling-wave entangled coherent states, cross phase modulation, optimized by optical Kerr effect enhancement in a dense medium in an electromagnetically induced transparency (EIT) regime, seems to be very promising. In this scenario, we propose a fully quantized model of a double-EIT scheme recently proposed [D. Petrosyan and G. Kurizki, {\sl Phys. Rev. A} {\bf 65}, 33833 (2002)]: the quantization step is performed adopting a fully Hamiltonian approach. This allows us to write effective equations of motion for two interacting quantum fields of light that show how the dynamics of one field depends on the photon-number operator of the other. The preparation of a Schr\"odinger cat state, which is a superposition of two distinct coherent states, is briefly exposed. This is based on non-linear interaction via double-EIT of two light fields (initially prepared in coherent states) and on a detection step performed using a $50:50$ beam splitter and two photodetectors. In order to show the entanglement of a generated entangled coherent state, we suggest to measure the joint quadrature variance of the field. We show that the entangled coherent states satisfy the sufficient condition for entanglement based on quadrature variance measurement. We also show how robust our scheme is against a low detection efficiency of homodyne detectors.
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"abstract": "The generation of an entangled coherent state is one of the most important\ningredients of quantum information processing using coherent states. Recently,\nnumerous schemes to achieve this task have been proposed. In order to generate\ntravelling-wave entangled coherent states, cross phase modulation, optimized by\noptical Kerr effect enhancement in a dense medium in an electromagnetically\ninduced transparency (EIT) regime, seems to be very promising. In this\nscenario, we propose a fully quantized model of a double-EIT scheme recently\nproposed [D. Petrosyan and G. Kurizki, {\\sl Phys. Rev. A} {\\bf 65}, 33833\n(2002)]: the quantization step is performed adopting a fully Hamiltonian\napproach. This allows us to write effective equations of motion for two\ninteracting quantum fields of light that show how the dynamics of one field\ndepends on the photon-number operator of the other. The preparation of a\nSchr\\\"odinger cat state, which is a superposition of two distinct coherent\nstates, is briefly exposed. This is based on non-linear interaction via\ndouble-EIT of two light fields (initially prepared in coherent states) and on a\ndetection step performed using a $50:50$ beam splitter and two photodetectors.\nIn order to show the entanglement of a generated entangled coherent state, we\nsuggest to measure the joint quadrature variance of the field. We show that the\nentangled coherent states satisfy the sufficient condition for entanglement\nbased on quadrature variance measurement. We also show how robust our scheme is\nagainst a low detection efficiency of homodyne detectors.",
"arxiv_id": "quant-ph/0207160",
"authors": [
"M. Paternostro",
"M. S. Kim",
"B. S. Ham"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.023811",
"journal_ref": "Phys. Rev. A 67, 023811 (2003)",
"title": "Generation of entangled coherent states via cross phase modulation in a double electromagnetically induced transparency regime",
"url": "https://arxiv.org/abs/quant-ph/0207160"
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