1انسٹی ٹیوٹ آف فزکس، فیکلٹی آف فزکس، فلکیات اور انفارمیٹکس، نکولس کوپرنیکس یونیورسٹی، گرڈزیادزکا 5/7، 87-100 ٹورن، پولینڈ
2Institut für Theoretische Physik, Technische Universität Dresden, D-01062, Dresden, Germany
3Turku Center for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014, Turun Yliopisto, Finland
4Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, Via Celoria 16, I-20133 Milan, Italy
5Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milan, Italy
اس کاغذ کو دلچسپ لگتا ہے یا اس پر بات کرنا چاہتے ہیں؟ SciRate پر تبصرہ کریں یا چھوڑیں۔.
خلاصہ
Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing on quantum-jump unravelings, we demonstrate that there exists inherent freedom in how to assign the terms of the underlying master equation to the deterministic and jump parts of the stochastic description, which leads to a number of qualitatively different unravelings. As relevant examples, we show that a fixed basis of post-jump states can be selected under some definite conditions, or that the deterministic evolution can be set by a chosen time-independent non-Hermitian Hamiltonian, even in the presence of external driving. Our approach relies on the definition of rate operators, whose positivity equips each unraveling with a continuous-measurement scheme and is related to a long known but so far not widely used property to classify quantum dynamics, known as dissipativity. Starting from formal mathematical concepts, our results allow us to get fundamental insights into open quantum system dynamics and to enrich their numerical simulations.
► BibTeX ڈیٹا
► حوالہ جات
ہے [1] H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford Univ. Press, Oxford, 2007).
https:///doi.org/10.1093/acprof:oso/9780199213900.001.0001
ہے [2] H.J. Carmichael,An Open System Approach to Quantum Optics, Lectures Notes in Physics (Springer, Berlin, 1993).
https://doi.org/10.1007/978-3-540-47620-7
ہے [3] J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992).
https:///doi.org/10.1103/PhysRevLett.68.580
ہے [4] T. Basche, S. Kummer, and C. Brauchle, Nature 373, 132 (1995).
https://doi.org/10.1038/373132a0
ہے [5] S. Peil and G. Gabrielse, Phys. Rev. Lett. 83, 1287 (1999).
https:///doi.org/10.1103/PhysRevLett.83.1287
ہے [6] F. Jelezko, I. Popa, A. Gruber, C. Tietz, J. Wrachtrup, A. Nizovtsev, and S. Kilin, Appl. Phys. Lett. 81, 2160 (2002).
https://doi.org/10.1063/1.1507838
ہے [7] S. Gleyzes, S. Kuhr, C. Guerlin, J. Bernu, S. Deléglise, U.B. Hoff, M. Brune, J.-M. Raimond, and S. Haroche, Nature 446, 297 (2007).
https://doi.org/10.1038/nature05589
ہے [8] R. Vijay, D. H. Slichter, and I. Siddiqi, Phys. Rev. Lett. 106, 110502 (2011).
https:///doi.org/10.1103/PhysRevLett.106.110502
ہے [9] Z. K. Minev, S. O. Mundhada, S. Shankar, P. Reinhold, R. Gutiérrez-Jáuregui, R.J. Schoelkopf, M. Mirrahimi, H. J. Carmichael, and M.H. Devoret, Nature 570, 200 (2019).
https://doi.org/10.1038/s41586-019-1287-z
ہے [10] M. B. Plenio and P. L. Knight, Rev. Mod. Phys. 70, 101 (1998).
https:///doi.org/10.1103/RevModPhys.70.101
ہے [11] A.J. Daley, Adv. Phys. 63, 77 (2014).
https://doi.org/10.1080/00018732.2014.933502
ہے [12] I.Percival, Quantum State Diffusion (Cambridge University Press, Cambridge, England, 2002).
ہے [13] A. Barchielli and M. Gregoratti, Quantum Trajectories and Measurements in Continuous Time: The Diffusive Case, Lecture Notes in Physics 782 (Springer, Berlin, 2009).
https://doi.org/10.1007/978-3-642-01298-3
ہے [14] H.M. Wiseman and G.J. Milburn, Phys. Rev. A 47, 1652 (1993).
https:///doi.org/10.1103/PhysRevA.47.1652
ہے [15] W. T. Strunz, L. Diósi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999).
https:///doi.org/10.1103/PhysRevLett.82.1801
ہے [16] T. Yu, L. Diósi, N. Gisin, and W. T. Strunz, Phys. Rev. A 60, 91 (1999).
https:///doi.org/10.1103/PhysRevA.60.91
ہے [17] K. Luoma, W.T. Strunz, and J. Piilo, Phys. Rev. Lett. 125, 150403 (2020).
https:///doi.org/10.1103/PhysRevLett.125.150403
ہے [18] K. W. Murch, S. J. Weber, C. Macklin, and I. Siddiqi, Nature 502, 211 (2013).
https://doi.org/10.1038/nature12539
ہے [19] P. Campagne-Ibarcq, P. Six, L. Bretheau, A. Sarlette, M. Mirrahimi, P. Rouchon, and B. Huard, Phys. Rev. X 6, 011002 (2016).
https:///doi.org/10.1103/PhysRevX.6.011002
ہے [20] S. Hacohen-Gourgy, L.S. Martin, E. Flurin, V.V. Ramasesh, K.B. Whaley, and I. Siddiqi, Nature 538, 491 (2016).
https://doi.org/10.1038/nature19762
ہے [21] Q. Ficheux, S. Jezouin, Z. Leghtas, and B. Huard, Nat. Comm. 9, 1926 (2018).
https://doi.org/10.1038/s41467-018-04372-9
ہے [22] A. Barchielli and V.P. Belavkin, J. Phys. A: Math. Gen. 24, 1495 (1991).
https://doi.org/10.1088/0305-4470/24/7/022
ہے [23] E.-M. Laine, J. Piilo, and H.-P. Breuer, Phys. Rev. A 81, 062115 (2010).
https:///doi.org/10.1103/PhysRevA.81.062115
ہے [24] D. Chrusciński, A. Kossakowski, and Á. Rivas, Phys. Rev. A 83, 052128 (2011).
https:///doi.org/10.1103/PhysRevA.83.052128
ہے [25] Á. Rivas and S. F. Huelga, Open Quantum Systems (Springer, New York, 2012).
https://doi.org/10.1007/978-3-642-23354-8
ہے [26] Á. Rivas, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. 105, 050403 (2010).
https:///doi.org/10.1103/PhysRevLett.105.050403
ہے [27] Á. Rivas, S. F. Huelga, and M. B. Plenio, Rep. Prog. Phys. 77, 094001 (2014).
https://doi.org/10.1088/0034-4885/77/9/094001
ہے [28] H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009).
https:///doi.org/10.1103/PhysRevLett.103.210401
ہے [29] H.-P بریور، ای ایم۔ Laine, J. Piilo, and B. Vacchini, Rev. Mod. طبیعات 88، 021002 (2016)۔
https:///doi.org/10.1103/RevModPhys.88.021002
ہے [30] J. Piilo, S. Maniscalco, K. Härkönen, and K.A. Suominen, Phys. Rev. Lett. 100, 180402 (2008).
https:///doi.org/10.1103/PhysRevLett.100.180402
ہے [31] J. Piilo, K. Härkönen, S. Maniscalco, and K.A. Suominen, Phys. Rev. A 79, 062112 (2009).
https:///doi.org/10.1103/PhysRevA.79.062112
ہے [32] J. Gambetta and H.M. Wiseman, Phys. Rev. A 68, 062104 (2003).
https:///doi.org/10.1103/PhysRevA.68.062104
ہے [33] L. Diósi, Phys. Rev. Lett. 100, 080401 (2008).
https:///doi.org/10.1103/PhysRevLett.100.080401
ہے [34] H.M. Wiseman and J.M. Gambetta, Phys. Rev. Lett. 101, 140401 (2008).
https:///doi.org/10.1103/PhysRevLett.101.140401
ہے [35] A. Smirne, M. Caiaffa, and J. Piilo, Phys. Rev. Lett. 124, 190402 (2020).
https:///doi.org/10.1103/PhysRevLett.124.190402
ہے [36] L. Diósi, Phys. Lett. A 112, 288 (1985).
https://doi.org/10.1016/0375-9601(85)90342-1
ہے [37] L. Diósi, Phys. Lett. A 114, 451 (1986).
https://doi.org/10.1016/0375-9601(86)90692-4
ہے [38] L. Diósi, J. Phys. A 21, 2885 (1988).
https://doi.org/10.1088/0305-4470/21/13/013
ہے [39] N. Gisin, Helv. Phys. Acta 63, 929 (1990).
https://doi.org/10.5169/seals-116244
ہے [40] B. Vacchini, A. Smirne, E.-M. Laine, J. Piilo, H.P. Breuer, New J. Phys. 13, 093004 (2011).
https://doi.org/10.1088/1367-2630/13/9/093004
ہے [41] D. Chruściński اور S. Maniscalco، Phys. Rev. Lett. 112، 120404 (2014)۔
https:///doi.org/10.1103/PhysRevLett.112.120404
ہے [42] S. Wißmann, H.-P. Breuer, B. Vacchini, Phys. Rev. A 92, 042108 (2015).
https:///doi.org/10.1103/PhysRevA.92.042108
ہے [43] H. M. Wiseman and G. J. Milburn, Quantum Measurement and Control (CUP, Cambridge, 2010).
https://doi.org/10.1017/CBO9780511813948
ہے [44] J. Zhangab, Y.-X. Liu, R.-B. Wuab, K. Jacobs, and F. Nori, Phys. Rep. 679, 1 (2017).
https:///doi.org/10.1016/j.physrep.2017.02.003
ہے [45] S. Hacohen-Gourgy, L. P. Garcìa-Pintos, L.S. Martin, J. Dressel, and I. Siddiqi, Phys. Rev. Lett. 120, 020505 (2018).
https:///doi.org/10.1103/PhysRevLett.120.020505
ہے [46] L.S. Martin, W.P. Livingston, S. Hacohen-Gourgy, H.M. Wiseman and I. Siddiqi, Nat. Phys. 16, 1046 (2020).
https://doi.org/10.1038/s41567-020-0939-0
ہے [47] L. Magrini, P. Rosenzweig, C. Bach, A. Deutschmann-Olek, S.G. Hofer, S. Hong, N. Kiesel, A. Kugi, and M. Aspelmeyer, Nature 595, 373 (2021).
https://doi.org/10.1038/s41586-021-03602-3
ہے [48] G. Lindblad، Comm. ریاضی طبیعات 48، 119 (1976)۔
https://doi.org/10.1007/BF01608499
ہے [49] V. Gorini, A. Kossakowski, and E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976).
https://doi.org/10.1063/1.522979
ہے [50] D. Chrusciński, and A. Kossakowski, Phys. Rev. Lett. 104, 070406 (2010).
https:///doi.org/10.1103/PhysRevLett.104.070406
ہے [51] M. Caiaffa, A. Smirne, and A. Bassi, Phys. Rev. A 95, 062101 (2017).
https:///doi.org/10.1103/PhysRevA.95.062101
ہے [52] T.A. Brun, Phys. Rev. A 61, 042107 (2000).
https:///doi.org/10.1103/PhysRevA.61.042107
ہے [53] T.A. Brun, Am. J. Phys. 70, 719 (2002).
https://doi.org/10.1119/1.1475328
ہے [54] L. Diósi, J.Phys. A 50, 16LT01 (2017).
https://doi.org/10.1088/1751-8121/aa6263
ہے [55] M.J.W. Hall, J.D. Cresser, L. Li, and E. Andersson, Phys. Rev. A 89, 042120 (2014).
https:///doi.org/10.1103/PhysRevA.89.042120
ہے [56] D. Chruściński and F.A. Wudarski, Phys. Rev. A 91, 012104 (2015).
https:///doi.org/10.1103/PhysRevA.91.012104
ہے [57] N. Megier, D. Chruscinski, J. Piilo, and W.T. Strunz, Sci. Rep. 7, 6379 (2017).
https://doi.org/10.1038/s41598-017-06059-5
ہے [58] T. Heinosaari and M. Ziman, The Mathematical Language of Quantum Theory, (Cambridge University Press, Cambridge, 2012).
https://doi.org/10.1017/CBO9781139031103
ہے [59] H.M. Wiseman, Quantum Semiclass. Opt. 8, 205 (1996).
https://doi.org/10.1088/1355-5111/8/1/015
ہے [60] V. Paulsen, Completely Bounded Maps and Operator Algebras (Cambridge University Press, Cambridge, 2003).
https://doi.org/10.1017/CBO9780511546631
ہے [61] E. Størmer, Positive Linear Maps of Operator Algebras, Springer Monographs in Mathematics (Springer, New York, 2013).
https://doi.org/10.1007/978-3-642-34369-8
ہے [62] K. Mølmer and Y. Castin, Quantum Semiclass. Opt. 8, 49 (1996).
https://doi.org/10.1088/1355-5111/8/1/007
ہے [63] D. Chruściński and F. Mukhamedov, Phys. Rev. A. 100, 052120 (2019).
https:///doi.org/10.1103/PhysRevA.100.052120
ہے [64] M. Naghiloo, M. Abbasi, Yogesh N. Joglekar, and K. W. Murch, Nat. Phys. 15, 1232 (2019).
https://doi.org/10.1038/s41567-019-0652-z
ہے [65] F. Minganti, A. Miranowicz, R. W. Chhajlany, and F. Nori, Phys. Rev. A 100, 062131 (2019).
https:///doi.org/10.1103/PhysRevA.100.062131
ہے [66] F. Minganti, A. Miranowicz, R. W. Chhajlany, I. I. Arkhipov, and F. Nori, Phys. Rev. A 101, 062112 (2020).
https:///doi.org/10.1103/PhysRevA.101.062112
ہے [67] Y. Ashida, Z. Gong, and M. Ueda, Adv. Phys. 69, 3 (2020).
https://doi.org/10.1080/00018732.2021.1876991
ہے [68] W. Chen, M. Abbasi, Y. N. Joglekar, and K. W. Murch, Phys. Rev. Lett. 127, 140504 (2021).
https:///doi.org/10.1103/PhysRevLett.127.140504
ہے [69] F. Roccati, G.M. Palma, F. Bagarello, and F. Ciccarello Op. Syst. Inf. Dyn. 29, 2250004 (2022).
https:///doi.org/10.1142/S1230161222500044
کی طرف سے حوالہ دیا گیا
[1] Dariusz Chruściński, “Dynamical maps beyond Markovian regime”, آر ایکس سی: 2209.14902.
مذکورہ بالا اقتباسات سے ہیں۔ SAO/NASA ADS (آخری بار کامیابی کے ساتھ 2022-10-15 02:31:03)۔ فہرست نامکمل ہو سکتی ہے کیونکہ تمام ناشرین مناسب اور مکمل حوالہ ڈیٹا فراہم نہیں کرتے ہیں۔
On Crossref کی طرف سے پیش خدمت کاموں کے حوالے سے کوئی ڈیٹا نہیں ملا (آخری کوشش 2022-10-15 02:31:01)۔
یہ مقالہ کوانٹم میں کے تحت شائع کیا گیا ہے۔ Creative Commons انتساب 4.0 انٹرنیشنل (CC BY 4.0) لائسنس کاپی رائٹ اصل کاپی رائٹ ہولڈرز جیسے مصنفین یا ان کے اداروں کے پاس رہتا ہے۔