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Laha P, Moore DW, Filip R. Entanglement Growth via Splitting of a Few Thermal Quanta. PHYSICAL REVIEW LETTERS 2024; 132:210201. [PMID: 38856241 DOI: 10.1103/physrevlett.132.210201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/18/2022] [Revised: 02/20/2024] [Accepted: 04/08/2024] [Indexed: 06/11/2024]
Abstract
Quanta splitting is an essential generator of Gaussian entanglement, exemplified by Einstein-Podolsky-Rosen states and apparently the most commonly occurring form of entanglement. In general, it results from the strong pumping of a nonlinear process with a highly coherent and low-noise external drive. In contrast, recent experiments involving efficient trilinear processes in trapped ions and superconducting circuits have opened the complementary possibility to test the splitting of a few thermal quanta. Stimulated by such small thermal energy, a strong degenerate trilinear coupling generates large amounts of nonclassicality, detectable by more than 3 dB of distillable quadrature squeezing. Substantial entanglement can be generated via frequent passive linear coupling to a third mode present in parallel with the trilinear coupling. This new form of entanglement, outside any Gaussian approximation, surprisingly grows with the mean number of split thermal quanta; a quality absent from Gaussian entanglement. Using distillable squeezing we shed light on this new entanglement mechanism for nonlinear bosonic systems.
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Affiliation(s)
- Pradip Laha
- Department of Optics, Palacký University, 17. listopadu 1192/12, 771 46 Olomouc, Czech Republic
| | - Darren W Moore
- Department of Optics, Palacký University, 17. listopadu 1192/12, 771 46 Olomouc, Czech Republic
| | - Radim Filip
- Department of Optics, Palacký University, 17. listopadu 1192/12, 771 46 Olomouc, Czech Republic
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Brasil TB, Novikov V, Kerdoncuff H, Lassen M, Polzik ES. Two-colour high-purity Einstein-Podolsky-Rosen photonic state. Nat Commun 2022; 13:4815. [PMID: 35974049 PMCID: PMC9381510 DOI: 10.1038/s41467-022-32495-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2022] [Accepted: 08/01/2022] [Indexed: 11/12/2022] Open
Abstract
We report a high-purity Einstein-Podolsky-Rosen (EPR) state between light modes with the wavelengths separated by more than 200 nm. We demonstrate highly efficient EPR-steering between the modes with the product of conditional variances \documentclass[12pt]{minimal}
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\begin{document}$${{{{{{{{\mathcal{E}}}}}}}}}^{2}=0.11\pm 0.01\ll 1$$\end{document}E2=0.11±0.01≪1. The modes display − 7.7 ± 0.5 dB of two-mode squeezing and an overall state purity of 0.63 ± 0.16. EPR-steering is observed over five octaves of sideband frequencies from RF down to audio-band. The demonstrated combination of high state purity, strong quantum correlations, and extended frequency range enables new matter-light quantum protocols. Engineering quantum correlations between light modes at different frequency would open new avenues for quantum networks and sensing. Here, the authors propose and demonstrate a way for obtaining high-purity strongly entangled continuous variable states with more than 200 nm difference in wavelength.
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Affiliation(s)
| | - Valeriy Novikov
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark.,Russian Quantum Center, Skolkovo, Moscow, Russia
| | | | | | - Eugene S Polzik
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark.
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Chen J, Rossi M, Mason D, Schliesser A. Entanglement of propagating optical modes via a mechanical interface. Nat Commun 2020; 11:943. [PMID: 32071318 PMCID: PMC7028980 DOI: 10.1038/s41467-020-14768-1] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2019] [Accepted: 01/28/2020] [Indexed: 11/16/2022] Open
Abstract
Many applications of quantum information processing (QIP) require distribution of quantum states in networks, both within and between distant nodes. Optical quantum states are uniquely suited for this purpose, as they propagate with ultralow attenuation and are resilient to ubiquitous thermal noise. Mechanical systems are then envisioned as versatile interfaces between photons and a variety of solid-state QIP platforms. Here, we demonstrate a key step towards this vision, and generate entanglement between two propagating optical modes, by coupling them to the same, cryogenic mechanical system. The entanglement persists at room temperature, where we verify the inseparability of the bipartite state and fully characterize its logarithmic negativity by homodyne tomography. We detect, without any corrections, correlations corresponding to a logarithmic negativity of EN = 0.35. Combined with quantum interfaces between mechanical systems and solid-state qubit processors, this paves the way for mechanical systems enabling long-distance quantum information networking over optical fiber networks.
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Affiliation(s)
- Junxin Chen
- Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
- Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
| | - Massimiliano Rossi
- Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
- Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
| | - David Mason
- Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
- Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark
- Department of Applied Physics, Yale University, New Haven, CT, USA
| | - Albert Schliesser
- Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark.
- Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, 2100, Copenhagen, Denmark.
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Compact 6 dB Two-Color Continuous Variable Entangled Source Based on a Single Ring Optical Resonator. APPLIED SCIENCES-BASEL 2018. [DOI: 10.3390/app8030330] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Ramírez HY, Flórez J, Camacho ÁS. Efficient control of coulomb enhanced second harmonic generation from excitonic transitions in quantum dot ensembles. Phys Chem Chem Phys 2015; 17:23938-46. [DOI: 10.1039/c5cp03349g] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The tunability and modulation of the second harmonic generation susceptibility, promising for the manipulation of nonlinear properties of nanostructured materials, are predicted in this work.
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Affiliation(s)
- Hanz Y. Ramírez
- Grupo de Física Teórica y Computacional
- Escuela de Física
- Universidad Pedagógica y Tecnológica de Colombia (UPTC)
- Tunja 150003
- Colombia
| | - Jefferson Flórez
- Laboratorio de Óptica Cuántica
- Universidad de los Andes
- Bogotá
- Colombia
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Yu YB, Wang HJ, Xiao M, Zhu SN. Directly produced three-color entanglement by quasi-phase-matched third-harmonic generation. OPTICS EXPRESS 2011; 19:13949-13956. [PMID: 21934755 DOI: 10.1364/oe.19.013949] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
A new scheme is presented to directly produce fundamental, second-, and third-harmonic three-color continuous-variable (CV) entangled beams by cascaded quasi-phase-matched third-harmonic generation (THG) in an optical cavity. THG can be achieved with high efficiency through a coupled sum-frequency process between the second-harmonic and the fundamental fields. It is demonstrated that the three beams (fundamental, second-, and third-harmonic fields) are entangled with each other according to the CV entanglement criterion. In this scheme, only one crystal and one pump field can generate three-color CV entangled beams separated by an octave in frequency through quasi-phase-matched cascaded nonlinear process, which may be very useful for the applications in quantum communication and computation networks.
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Affiliation(s)
- Y B Yu
- School of Science, Ningbo University of Technology, Ningbo 315211, China.
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Coelho AS, Barbosa FAS, Cassemiro KN, Villar AS, Martinelli M, Nussenzveig P. Three-color entanglement. Science 2009; 326:823-6. [PMID: 19762598 DOI: 10.1126/science.1178683] [Citation(s) in RCA: 200] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Entanglement is an essential quantum resource for the acceleration of information processing as well as for sophisticated quantum communication protocols. Quantum information networks are expected to convey information from one place to another by using entangled light beams. We demonstrated the generation of entanglement among three bright beams of light, all of different wavelengths (532.251, 1062.102, and 1066.915 nanometers). We also observed disentanglement for finite channel losses, the continuous variable counterpart to entanglement sudden death.
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Affiliation(s)
- A S Coelho
- Instituto de Física, Universidade de São Paulo, Post Office Box 66318, São Paulo, SP 05314-970, Brazil
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Zhai S, Yang R, Liu K, Zhang H, Zhang J, Gao J. Bright two-color tripartite entanglement with second harmonic generation. OPTICS EXPRESS 2009; 17:9851-9857. [PMID: 19506635 DOI: 10.1364/oe.17.009851] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
The bright two-color tripartite entanglement is investigated in the process of type II second harmonic generation (SHG) operating above threshold. The two pump fields and the second harmonic field are proved to be entangled, and the dependence of the entanglement degree on pump parametersigma and normalized frequency Omega is also analyzed.
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Affiliation(s)
- Shuqin Zhai
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, PR China
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Mehmet M, Steinlechner S, Eberle T, Vahlbruch H, Thüring A, Danzmann K, Schnabel R. Observation of cw squeezed light at 1550 nm. OPTICS LETTERS 2009; 34:1060-1062. [PMID: 19340219 DOI: 10.1364/ol.34.001060] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We report on the generation of cw squeezed vacuum states of light at the telecommunication wavelength of 1550 nm. The squeezed vacuum states were produced by type I optical parametric amplification in a standing-wave cavity built around a periodically poled potassium titanyl phosphate crystal. A nonclassical noise reduction of 5.3 dB below the shot noise was observed by means of balanced homodyne detection.
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Affiliation(s)
- Moritz Mehmet
- Max-Planck-Institut for Gravitationsphysik, Hannover, Germany
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