Main Article Content
Abstract
Penelitian tentang konsep dinamika kuantum adiabatik yang dipercepat pada sistem 2 spin telah dilakukan. Penelitian ini merupakan aplikasi dari konsep fast-forward yang telah diteliti sebelumnya oleh Masuda-Nakamura (e.g., Proc. R. Soc. A 466, 1135 (2010)). Konsep mempercepat ini dilakukan dengan menggunakan kombinasi antara dua ide yang berlawanan yaitu faktor pengali waktu yang menuju tak hingga, serta faktor waktu adiabatik yang sangat kecil dan menuju nol dan memenuhi hubungan = pada limit asimptotik , . Dinamika yang dipercepat ini dihasilkan dengan menghitung Hamiltonian penggerak melalui persamaan Schrodinger. Aplikasi pada sistem spin yaitu Model Landau-Zener dan model Ising telah mendapatkan Hamiltonian penggerak yang menjamin dinamika sistem spin tersebut dapat dipercepat secara adiabatik.
Kata-kata kunci : Dinamika kuantum adiabatik dipercepat, sistem spin
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References
- Masuda S and Nakamura K, Fast-forward problem in quantum mechanics Phys. Rev. A 78, 062108 (2008)
- Masuda S and Nakamura K, Fast-forward of adiabatic dynamics in quantum mechanics Proc. R. Soc. A 466, 1135-1154 (2010)
- Masuda S and Nakamura K, Fast-forward of quantum dynamics in electromagnetic field Phys. Rev. A 84, 043434 (2011)
- Nakamura K, Khujakulov A, Avazbaev S, and Masuda S, Phys. Rev. A 95, 062108 (2017)
- Demirplak M, and Rice S.A, 2003 J. Phys. Chem. A 89, 9937.
- Demirplak M and Rice S. A, 2005 J. Phys. Chem. B 109, 6838
- Berry M. V., 2009 J. Phys A 42, 365303.
- Lewis H. R and Riesenfeld W. B, 1969 J. Math. Phys A 10, 1458.
- Chen X, Ruschhaupt A, del Campo A, GuLery-Odelin A, and Muga J. G, 2010 Phys. Rev. Lett 104, 063002.
- Torrontegui E, Ibanez M, Martinez-Garaot M, Modugmo M, del Campo A, Guery-Odelin D, Ruschhaupt A, Chen X, and Muga J. G, 2013 Adv.At. Mol. Opt. Phys 62, 117
- Masuda S, Nakamura K, and del Campo A,2014 Phys. Rev. Lett 113, 063003.
- Torrontegui E, Martinez-Garaot M, Ruschhaupt A, and Muga J. G, 2012 Phys. Rev. A 86, 013601.
- Takahashi K, 2014 Phys. Rev. A 89, 042113.
- Kato T, 1950 J. Phys. Soc. Jpn 5, 435.
- Messiah A, (1962) Quantum Mechanics 2. North-Holland, Amsterdam.
- Berry, M. V, (1984) Proc. R. Soc. London 392, 45.
- Aharonov Y, and Anandan J, 1987 Phys. Rev. Lett 58, 1593.
- Berry M. V, (1990) Proc. R. Soc. London Ser. A 430, 405.
- Masuda S, Nakamura K, 2010 Arxiv : 1004.4108
- Opatrn`y T., Mølmer K., Partial suppression of nonadiabatic transitions. New Journal of Physics. 2014. 16. 015025
- Landau L.D, 1932 Phys. Sov. Union 2, 46.
- Zener C, 1932 Proc. R. Soc. A 137, 696.
References
Masuda S and Nakamura K, Fast-forward problem in quantum mechanics Phys. Rev. A 78, 062108 (2008)
Masuda S and Nakamura K, Fast-forward of adiabatic dynamics in quantum mechanics Proc. R. Soc. A 466, 1135-1154 (2010)
Masuda S and Nakamura K, Fast-forward of quantum dynamics in electromagnetic field Phys. Rev. A 84, 043434 (2011)
Nakamura K, Khujakulov A, Avazbaev S, and Masuda S, Phys. Rev. A 95, 062108 (2017)
Demirplak M, and Rice S.A, 2003 J. Phys. Chem. A 89, 9937.
Demirplak M and Rice S. A, 2005 J. Phys. Chem. B 109, 6838
Berry M. V., 2009 J. Phys A 42, 365303.
Lewis H. R and Riesenfeld W. B, 1969 J. Math. Phys A 10, 1458.
Chen X, Ruschhaupt A, del Campo A, GuLery-Odelin A, and Muga J. G, 2010 Phys. Rev. Lett 104, 063002.
Torrontegui E, Ibanez M, Martinez-Garaot M, Modugmo M, del Campo A, Guery-Odelin D, Ruschhaupt A, Chen X, and Muga J. G, 2013 Adv.At. Mol. Opt. Phys 62, 117
Masuda S, Nakamura K, and del Campo A,2014 Phys. Rev. Lett 113, 063003.
Torrontegui E, Martinez-Garaot M, Ruschhaupt A, and Muga J. G, 2012 Phys. Rev. A 86, 013601.
Takahashi K, 2014 Phys. Rev. A 89, 042113.
Kato T, 1950 J. Phys. Soc. Jpn 5, 435.
Messiah A, (1962) Quantum Mechanics 2. North-Holland, Amsterdam.
Berry, M. V, (1984) Proc. R. Soc. London 392, 45.
Aharonov Y, and Anandan J, 1987 Phys. Rev. Lett 58, 1593.
Berry M. V, (1990) Proc. R. Soc. London Ser. A 430, 405.
Masuda S, Nakamura K, 2010 Arxiv : 1004.4108
Opatrn`y T., Mølmer K., Partial suppression of nonadiabatic transitions. New Journal of Physics. 2014. 16. 015025
Landau L.D, 1932 Phys. Sov. Union 2, 46.
Zener C, 1932 Proc. R. Soc. A 137, 696.