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Tools for multimode quantum information: modulation, detection, and spatial quantum correlations.

Physical review letters

Lassen M, Delaubert V, Janousek J, Wagner K, Bachor HA, Lam PK, Treps N, Buchhave P, Fabre C, Harb CC.
PMID: 17359098
Phys Rev Lett. 2007 Feb 23;98(8):083602. doi: 10.1103/PhysRevLett.98.083602. Epub 2007 Feb 22.

We present the key elements required for continuous variable parallel quantum information protocols based on spatial multimode quantum correlations. We describe techniques for encoding, combining and detecting spatial quantum information with high efficiency in the individual transverse modes. Until...

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Lassen M, Delaubert V, Janousek J, et al. Tools for multimode quantum information: modulation, detection, and spatial quantum correlations. Phys Rev Lett. 2007;98(8):083602doi: 10.1103/PhysRevLett.98.083602.
Lassen, M., Delaubert, V., Janousek, J., Wagner, K., Bachor, H. A., Lam, P. K., Treps, N., Buchhave, P., Fabre, C., & Harb, C. C. (2007). Tools for multimode quantum information: modulation, detection, and spatial quantum correlations. Physical review letters, 98(8), 083602. https://doi.org/10.1103/PhysRevLett.98.083602
Lassen, M, et al. "Tools for multimode quantum information: modulation, detection, and spatial quantum correlations." Physical review letters vol. 98,8 (2007): 083602. doi: https://doi.org/10.1103/PhysRevLett.98.083602
Lassen M, Delaubert V, Janousek J, Wagner K, Bachor HA, Lam PK, Treps N, Buchhave P, Fabre C, Harb CC. Tools for multimode quantum information: modulation, detection, and spatial quantum correlations. Phys Rev Lett. 2007 Feb 23;98(8):083602. doi: 10.1103/PhysRevLett.98.083602. Epub 2007 Feb 22. PMID: 17359098.
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Generation of higher order Gauss-Laguerre modes in single-pass 2nd harmonic generation.

Optics express

Buchhave P, Tidemand-Lichtenberg P.
PMID: 18958075
Opt Express. 2008 Oct 27;16(22):17952-61. doi: 10.1364/oe.16.017952.

We present a realistic method for dynamic simulation of the development of higher order modes in second harmonic generation. The deformation of the wave fronts due to the nonlinear interaction is expressed by expansion in higher order Gauss-Laguerre modes.

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Buchhave P, Tidemand-Lichtenberg P. Generation of higher order Gauss-Laguerre modes in single-pass 2nd harmonic generation. Opt Express. 2008;16(22):17952-61doi: 10.1364/oe.16.017952.
Buchhave, P., & Tidemand-Lichtenberg, P. (2008). Generation of higher order Gauss-Laguerre modes in single-pass 2nd harmonic generation. Optics express, 16(22), 17952-61. https://doi.org/10.1364/oe.16.017952
Buchhave, Preben, and Tidemand-Lichtenberg, Peter. "Generation of higher order Gauss-Laguerre modes in single-pass 2nd harmonic generation." Optics express vol. 16,22 (2008): 17952-61. doi: https://doi.org/10.1364/oe.16.017952
Buchhave P, Tidemand-Lichtenberg P. Generation of higher order Gauss-Laguerre modes in single-pass 2nd harmonic generation. Opt Express. 2008 Oct 27;16(22):17952-61. doi: 10.1364/oe.16.017952. PMID: 18958075.
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KOI-126: a triply eclipsing hierarchical triple with two low-mass stars.

Science (New York, N.Y.)

Carter JA, Fabrycky DC, Ragozzine D, Holman MJ, Quinn SN, Latham DW, Buchhave LA, Van Cleve J, Cochran WD, Cote MT, Endl M, Ford EB, Haas MR, Jenkins JM, Koch DG, Li J, Lissauer JJ, MacQueen PJ, Middour CK, Orosz JA, Rowe JF, Steffen JH, Welsh WF.
PMID: 21224439
Science. 2011 Feb 04;331(6017):562-5. doi: 10.1126/science.1201274. Epub 2011 Jan 11.

The Kepler spacecraft has been monitoring the light from 150,000 stars in its primary quest to detect transiting exoplanets. Here, we report on the detection of an eclipsing stellar hierarchical triple, identified in the Kepler photometry. KOI-126 [A, (B,...

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Carter JA, Fabrycky DC, Ragozzine D, et al. KOI-126: a triply eclipsing hierarchical triple with two low-mass stars. Science. 2011;331(6017):562-5doi: 10.1126/science.1201274.
Carter, J. A., Fabrycky, D. C., Ragozzine, D., Holman, M. J., Quinn, S. N., Latham, D. W., Buchhave, L. A., Van Cleve, J., Cochran, W. D., Cote, M. T., Endl, M., Ford, E. B., Haas, M. R., Jenkins, J. M., Koch, D. G., Li, J., Lissauer, J. J., MacQueen, P. J., Middour, C. K., Orosz, J. A., Rowe, J. F., Steffen, J. H., & Welsh, W. F. (2011). KOI-126: a triply eclipsing hierarchical triple with two low-mass stars. Science (New York, N.Y.), 331(6017), 562-5. https://doi.org/10.1126/science.1201274
Carter, Joshua A, et al. "KOI-126: a triply eclipsing hierarchical triple with two low-mass stars." Science (New York, N.Y.) vol. 331,6017 (2011): 562-5. doi: https://doi.org/10.1126/science.1201274
Carter JA, Fabrycky DC, Ragozzine D, Holman MJ, Quinn SN, Latham DW, Buchhave LA, Van Cleve J, Cochran WD, Cote MT, Endl M, Ford EB, Haas MR, Jenkins JM, Koch DG, Li J, Lissauer JJ, MacQueen PJ, Middour CK, Orosz JA, Rowe JF, Steffen JH, Welsh WF. KOI-126: a triply eclipsing hierarchical triple with two low-mass stars. Science. 2011 Feb 04;331(6017):562-5. doi: 10.1126/science.1201274. Epub 2011 Jan 11. PMID: 21224439.
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Anisotropic photoconductivity and current deflection induced in Bi(12)SiO(20) crystals by a high-contrast interference pattern.

Optics letters

Kukhtarev N, Lyuksyutov S, Buchhave P, Caulfield HJ, Vasnetsov M.
PMID: 19881836
Opt Lett. 1996 Dec 01;21(23):1891-3. doi: 10.1364/ol.21.001891.

We have predicted and observed an anisotropic photocurrent induced in the cubic crystal Bi(12)SiO(20) by a high-contrast interference pattern. The transverse current detected when the interference pattern is tilted is caused by deflection of the direct current generated by...

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Kukhtarev N, Lyuksyutov S, Buchhave P, et al. Anisotropic photoconductivity and current deflection induced in Bi(12)SiO(20) crystals by a high-contrast interference pattern. Opt Lett. 1996;21(23):1891-3doi: 10.1364/ol.21.001891.
Kukhtarev, N., Lyuksyutov, S., Buchhave, P., Caulfield, H. J., & Vasnetsov, M. (1996). Anisotropic photoconductivity and current deflection induced in Bi(12)SiO(20) crystals by a high-contrast interference pattern. Optics letters, 21(23), 1891-3. https://doi.org/10.1364/ol.21.001891
Kukhtarev, N, et al. "Anisotropic photoconductivity and current deflection induced in Bi(12)SiO(20) crystals by a high-contrast interference pattern." Optics letters vol. 21,23 (1996): 1891-3. doi: https://doi.org/10.1364/ol.21.001891
Kukhtarev N, Lyuksyutov S, Buchhave P, Caulfield HJ, Vasnetsov M. Anisotropic photoconductivity and current deflection induced in Bi(12)SiO(20) crystals by a high-contrast interference pattern. Opt Lett. 1996 Dec 01;21(23):1891-3. doi: 10.1364/ol.21.001891. PMID: 19881836.
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Relations between spontaneously occurring beams in bismuth silicon oxide with two frequency-detuned pump beams.

Optics letters

Buchhave P, Lyuksyutov S, Vasnetsov M.
PMID: 19865220
Opt Lett. 1995 Dec 01;20(23):2363. doi: 10.1364/ol.20.002363.

No abstract available.

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Buchhave P, Lyuksyutov S, Vasnetsov M. Relations between spontaneously occurring beams in bismuth silicon oxide with two frequency-detuned pump beams. Opt Lett. 1995;20(23):2363doi: 10.1364/ol.20.002363.
Buchhave, P., Lyuksyutov, S., & Vasnetsov, M. (1995). Relations between spontaneously occurring beams in bismuth silicon oxide with two frequency-detuned pump beams. Optics letters, 20(23), 2363. https://doi.org/10.1364/ol.20.002363
Buchhave, P, et al. "Relations between spontaneously occurring beams in bismuth silicon oxide with two frequency-detuned pump beams." Optics letters vol. 20,23 (1995): 2363. doi: https://doi.org/10.1364/ol.20.002363
Buchhave P, Lyuksyutov S, Vasnetsov M. Relations between spontaneously occurring beams in bismuth silicon oxide with two frequency-detuned pump beams. Opt Lett. 1995 Dec 01;20(23):2363. doi: 10.1364/ol.20.002363. PMID: 19865220.
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An abundance of small exoplanets around stars with a wide range of metallicities.

Nature

Buchhave LA, Latham DW, Johansen A, Bizzarro M, Torres G, Rowe JF, Batalha NM, Borucki WJ, Brugamyer E, Caldwell C, Bryson ST, Ciardi DR, Cochran WD, Endl M, Esquerdo GA, Ford EB, Geary JC, Gilliland RL, Hansen T, Isaacson H, Laird JB, Lucas PW, Marcy GW, Morse JA, Robertson P, Shporer A, Stefanik RP, Still M, Quinn SN.
PMID: 22722196
Nature. 2012 Jun 13;486(7403):375-7. doi: 10.1038/nature11121.

The abundance of heavy elements (metallicity) in the photospheres of stars similar to the Sun provides a 'fossil' record of the chemical composition of the initial protoplanetary disk. Metal-rich stars are much more likely to harbour gas giant planets,...

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Buchhave LA, Latham DW, Johansen A, et al. An abundance of small exoplanets around stars with a wide range of metallicities. Nature. 2012;486(7403):375-7doi: 10.1038/nature11121.
Buchhave, L. A., Latham, D. W., Johansen, A., Bizzarro, M., Torres, G., Rowe, J. F., Batalha, N. M., Borucki, W. J., Brugamyer, E., Caldwell, C., Bryson, S. T., Ciardi, D. R., Cochran, W. D., Endl, M., Esquerdo, G. A., Ford, E. B., Geary, J. C., Gilliland, R. L., Hansen, T., Isaacson, H., Laird, J. B., Lucas, P. W., Marcy, G. W., Morse, J. A., Robertson, P., Shporer, A., Stefanik, R. P., Still, M., & Quinn, S. N. (2012). An abundance of small exoplanets around stars with a wide range of metallicities. Nature, 486(7403), 375-7. https://doi.org/10.1038/nature11121
Buchhave, Lars A, et al. "An abundance of small exoplanets around stars with a wide range of metallicities." Nature vol. 486,7403 (2012): 375-7. doi: https://doi.org/10.1038/nature11121
Buchhave LA, Latham DW, Johansen A, Bizzarro M, Torres G, Rowe JF, Batalha NM, Borucki WJ, Brugamyer E, Caldwell C, Bryson ST, Ciardi DR, Cochran WD, Endl M, Esquerdo GA, Ford EB, Geary JC, Gilliland RL, Hansen T, Isaacson H, Laird JB, Lucas PW, Marcy GW, Morse JA, Robertson P, Shporer A, Stefanik RP, Still M, Quinn SN. An abundance of small exoplanets around stars with a wide range of metallicities. Nature. 2012 Jun 13;486(7403):375-7. doi: 10.1038/nature11121. PMID: 22722196.
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A super-Earth transiting a nearby low-mass star.

Nature

Charbonneau D, Berta ZK, Irwin J, Burke CJ, Nutzman P, Buchhave LA, Lovis C, Bonfils X, Latham DW, Udry S, Murray-Clay RA, Holman MJ, Falco EE, Winn JN, Queloz D, Pepe F, Mayor M, Delfosse X, Forveille T.
PMID: 20016595
Nature. 2009 Dec 17;462(7275):891-4. doi: 10.1038/nature08679.

A decade ago, the detection of the first transiting extrasolar planet provided a direct constraint on its composition and opened the door to spectroscopic investigations of extrasolar planetary atmospheres. Because such characterization studies are feasible only for transiting systems...

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Charbonneau D, Berta ZK, Irwin J, et al. A super-Earth transiting a nearby low-mass star. Nature. 2009;462(7275):891-4doi: 10.1038/nature08679.
Charbonneau, D., Berta, Z. K., Irwin, J., Burke, C. J., Nutzman, P., Buchhave, L. A., Lovis, C., Bonfils, X., Latham, D. W., Udry, S., Murray-Clay, R. A., Holman, M. J., Falco, E. E., Winn, J. N., Queloz, D., Pepe, F., Mayor, M., Delfosse, X., & Forveille, T. (2009). A super-Earth transiting a nearby low-mass star. Nature, 462(7275), 891-4. https://doi.org/10.1038/nature08679
Charbonneau, David, et al. "A super-Earth transiting a nearby low-mass star." Nature vol. 462,7275 (2009): 891-4. doi: https://doi.org/10.1038/nature08679
Charbonneau D, Berta ZK, Irwin J, Burke CJ, Nutzman P, Buchhave LA, Lovis C, Bonfils X, Latham DW, Udry S, Murray-Clay RA, Holman MJ, Falco EE, Winn JN, Queloz D, Pepe F, Mayor M, Delfosse X, Forveille T. A super-Earth transiting a nearby low-mass star. Nature. 2009 Dec 17;462(7275):891-4. doi: 10.1038/nature08679. PMID: 20016595.
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A wide range, rapid scanning spectrometer for emission and absorption measurements.

Applied optics

Buchhave P, Church CH.
PMID: 20068967
Appl Opt. 1968 Nov 01;7(11):2200-4. doi: 10.1364/AO.7.002200.

A new, very wide spectral range, fast scanning spectrometer that combines high speed with good resolving power has been developed. The instrument operates with an f number in the vertical and horizontal plane of f/3 and f/17, respectively, and...

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Buchhave P, Church CH. A wide range, rapid scanning spectrometer for emission and absorption measurements. Appl Opt. 1968;7(11):2200-4doi: 10.1364/AO.7.002200.
Buchhave, P., & Church, C. H. (1968). A wide range, rapid scanning spectrometer for emission and absorption measurements. Applied optics, 7(11), 2200-4. https://doi.org/10.1364/AO.7.002200
Buchhave, P, and Church, C H. "A wide range, rapid scanning spectrometer for emission and absorption measurements." Applied optics vol. 7,11 (1968): 2200-4. doi: https://doi.org/10.1364/AO.7.002200
Buchhave P, Church CH. A wide range, rapid scanning spectrometer for emission and absorption measurements. Appl Opt. 1968 Nov 01;7(11):2200-4. doi: 10.1364/AO.7.002200. PMID: 20068967.
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Two Earth-sized planets orbiting Kepler-20.

Nature

Fressin F, Torres G, Rowe JF, Charbonneau D, Rogers LA, Ballard S, Batalha NM, Borucki WJ, Bryson ST, Buchhave LA, Ciardi DR, Désert JM, Dressing CD, Fabrycky DC, Ford EB, Gautier TN, Henze CE, Holman MJ, Howard A, Howell SB, Jenkins JM, Koch DG, Latham DW, Lissauer JJ, Marcy GW, Quinn SN, Ragozzine D, Sasselov DD, Seager S, Barclay T, Mullally F, Seader SE, Still M, Twicken JD, Thompson SE, Uddin K.
PMID: 22186831
Nature. 2011 Dec 20;482(7384):195-8. doi: 10.1038/nature10780.

Since the discovery of the first extrasolar giant planets around Sun-like stars, evolving observational capabilities have brought us closer to the detection of true Earth analogues. The size of an exoplanet can be determined when it periodically passes in...

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Fressin F, Torres G, Rowe JF, et al. Two Earth-sized planets orbiting Kepler-20. Nature. 2011;482(7384):195-8doi: 10.1038/nature10780.
Fressin, F., Torres, G., Rowe, J. F., Charbonneau, D., Rogers, L. A., Ballard, S., Batalha, N. M., Borucki, W. J., Bryson, S. T., Buchhave, L. A., Ciardi, D. R., Désert, J. M., Dressing, C. D., Fabrycky, D. C., Ford, E. B., Gautier, T. N., Henze, C. E., Holman, M. J., Howard, A., Howell, S. B., Jenkins, J. M., Koch, D. G., Latham, D. W., Lissauer, J. J., Marcy, G. W., Quinn, S. N., Ragozzine, D., Sasselov, D. D., Seager, S., Barclay, T., Mullally, F., Seader, S. E., Still, M., Twicken, J. D., Thompson, S. E., & Uddin, K. (2011). Two Earth-sized planets orbiting Kepler-20. Nature, 482(7384), 195-8. https://doi.org/10.1038/nature10780
Fressin, Francois, et al. "Two Earth-sized planets orbiting Kepler-20." Nature vol. 482,7384 (2011): 195-8. doi: https://doi.org/10.1038/nature10780
Fressin F, Torres G, Rowe JF, Charbonneau D, Rogers LA, Ballard S, Batalha NM, Borucki WJ, Bryson ST, Buchhave LA, Ciardi DR, Désert JM, Dressing CD, Fabrycky DC, Ford EB, Gautier TN, Henze CE, Holman MJ, Howard A, Howell SB, Jenkins JM, Koch DG, Latham DW, Lissauer JJ, Marcy GW, Quinn SN, Ragozzine D, Sasselov DD, Seager S, Barclay T, Mullally F, Seader SE, Still M, Twicken JD, Thompson SE, Uddin K. Two Earth-sized planets orbiting Kepler-20. Nature. 2011 Dec 20;482(7384):195-8. doi: 10.1038/nature10780. PMID: 22186831.
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Stellar spin-orbit misalignment in a multiplanet system.

Science (New York, N.Y.)

Huber D, Carter JA, Barbieri M, Miglio A, Deck KM, Fabrycky DC, Montet BT, Buchhave LA, Chaplin WJ, Hekker S, Montalbán J, Sanchis-Ojeda R, Basu S, Bedding TR, Campante TL, Christensen-Dalsgaard J, Elsworth YP, Stello D, Arentoft T, Ford EB, Gilliland RL, Handberg R, Howard AW, Isaacson H, Johnson JA, Karoff C, Kawaler SD, Kjeldsen H, Latham DW, Lund MN, Lundkvist M, Marcy GW, Metcalfe TS, Silva Aguirre V, Winn JN.
PMID: 24136961
Science. 2013 Oct 18;342(6156):331-4. doi: 10.1126/science.1242066.

Stars hosting hot Jupiters are often observed to have high obliquities, whereas stars with multiple coplanar planets have been seen to have low obliquities. This has been interpreted as evidence that hot-Jupiter formation is linked to dynamical disruption, as...

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Huber D, Carter JA, Barbieri M, et al. Stellar spin-orbit misalignment in a multiplanet system. Science. 2013;342(6156):331-4doi: 10.1126/science.1242066.
Huber, D., Carter, J. A., Barbieri, M., Miglio, A., Deck, K. M., Fabrycky, D. C., Montet, B. T., Buchhave, L. A., Chaplin, W. J., Hekker, S., Montalbán, J., Sanchis-Ojeda, R., Basu, S., Bedding, T. R., Campante, T. L., Christensen-Dalsgaard, J., Elsworth, Y. P., Stello, D., Arentoft, T., Ford, E. B., Gilliland, R. L., Handberg, R., Howard, A. W., Isaacson, H., Johnson, J. A., Karoff, C., Kawaler, S. D., Kjeldsen, H., Latham, D. W., Lund, M. N., Lundkvist, M., Marcy, G. W., Metcalfe, T. S., Silva Aguirre, V., & Winn, J. N. (2013). Stellar spin-orbit misalignment in a multiplanet system. Science (New York, N.Y.), 342(6156), 331-4. https://doi.org/10.1126/science.1242066
Huber, Daniel, et al. "Stellar spin-orbit misalignment in a multiplanet system." Science (New York, N.Y.) vol. 342,6156 (2013): 331-4. doi: https://doi.org/10.1126/science.1242066
Huber D, Carter JA, Barbieri M, Miglio A, Deck KM, Fabrycky DC, Montet BT, Buchhave LA, Chaplin WJ, Hekker S, Montalbán J, Sanchis-Ojeda R, Basu S, Bedding TR, Campante TL, Christensen-Dalsgaard J, Elsworth YP, Stello D, Arentoft T, Ford EB, Gilliland RL, Handberg R, Howard AW, Isaacson H, Johnson JA, Karoff C, Kawaler SD, Kjeldsen H, Latham DW, Lund MN, Lundkvist M, Marcy GW, Metcalfe TS, Silva Aguirre V, Winn JN. Stellar spin-orbit misalignment in a multiplanet system. Science. 2013 Oct 18;342(6156):331-4. doi: 10.1126/science.1242066. PMID: 24136961.
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Distinct cerebrospinal fluid amyloid beta peptide signatures in sporadic and PSEN1 A431E-associated familial Alzheimer's disease.

Molecular neurodegeneration

Portelius E, Andreasson U, Ringman JM, Buerger K, Daborg J, Buchhave P, Hansson O, Harmsen A, Gustavsson MK, Hanse E, Galasko D, Hampel H, Blennow K, Zetterberg H.
PMID: 20145736
Mol Neurodegener. 2010 Jan 14;5:2. doi: 10.1186/1750-1326-5-2.

BACKGROUND: Alzheimer's disease (AD) is associated with deposition of amyloid beta (Abeta) in the brain, which is reflected by low concentration of the Abeta1-42 peptide in the cerebrospinal fluid (CSF). There are at least 15 additional Abeta peptides in...

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Portelius E, Andreasson U, Ringman JM, et al. Distinct cerebrospinal fluid amyloid beta peptide signatures in sporadic and PSEN1 A431E-associated familial Alzheimer's disease. Mol Neurodegener. 2010;5:2doi: 10.1186/1750-1326-5-2.
Portelius, E., Andreasson, U., Ringman, J. M., Buerger, K., Daborg, J., Buchhave, P., Hansson, O., Harmsen, A., Gustavsson, M. K., Hanse, E., Galasko, D., Hampel, H., Blennow, K., & Zetterberg, H. (2010). Distinct cerebrospinal fluid amyloid beta peptide signatures in sporadic and PSEN1 A431E-associated familial Alzheimer's disease. Molecular neurodegeneration, 52. https://doi.org/10.1186/1750-1326-5-2
Portelius, Erik, et al. "Distinct cerebrospinal fluid amyloid beta peptide signatures in sporadic and PSEN1 A431E-associated familial Alzheimer's disease." Molecular neurodegeneration vol. 5 (2010): 2. doi: https://doi.org/10.1186/1750-1326-5-2
Portelius E, Andreasson U, Ringman JM, Buerger K, Daborg J, Buchhave P, Hansson O, Harmsen A, Gustavsson MK, Hanse E, Galasko D, Hampel H, Blennow K, Zetterberg H. Distinct cerebrospinal fluid amyloid beta peptide signatures in sporadic and PSEN1 A431E-associated familial Alzheimer's disease. Mol Neurodegener. 2010 Jan 14;5:2. doi: 10.1186/1750-1326-5-2. PMID: 20145736; PMCID: PMC2818651.
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The detection and characterization of a nontransiting planet by transit timing variations.

Science (New York, N.Y.)

Nesvorný D, Kipping DM, Buchhave LA, Bakos GÁ, Hartman J, Schmitt AR.
PMID: 22582018
Science. 2012 Jun 01;336(6085):1133-6. doi: 10.1126/science.1221141. Epub 2012 May 10.

The Kepler mission is monitoring the brightness of ~150,000 stars, searching for evidence of planetary transits. As part of the Hunt for Exomoons with Kepler (HEK) project, we report a planetary system with two confirmed planets and one candidate...

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Nesvorný D, Kipping DM, Buchhave LA, et al. The detection and characterization of a nontransiting planet by transit timing variations. Science. 2012;336(6085):1133-6doi: 10.1126/science.1221141.
Nesvorný, D., Kipping, D. M., Buchhave, L. A., Bakos, G. �. �., Hartman, J., & Schmitt, A. R. (2012). The detection and characterization of a nontransiting planet by transit timing variations. Science (New York, N.Y.), 336(6085), 1133-6. https://doi.org/10.1126/science.1221141
Nesvorný, David, et al. "The detection and characterization of a nontransiting planet by transit timing variations." Science (New York, N.Y.) vol. 336,6085 (2012): 1133-6. doi: https://doi.org/10.1126/science.1221141
Nesvorný D, Kipping DM, Buchhave LA, Bakos GÁ, Hartman J, Schmitt AR. The detection and characterization of a nontransiting planet by transit timing variations. Science. 2012 Jun 01;336(6085):1133-6. doi: 10.1126/science.1221141. Epub 2012 May 10. PMID: 22582018.
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