{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T11:22:32Z","timestamp":1769512952196,"version":"3.49.0"},"reference-count":92,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2021,5,1]],"date-time":"2021-05-01T00:00:00Z","timestamp":1619827200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>Squeezed state in harmonic systems can be generated through a variety of techniques, including varying the oscillator frequency or using nonlinear two-photon Raman interaction. We focus on these two techniques to drive an initial thermal state into a final squeezed thermal state with controlled squeezing parameters \u2013 amplitude and phase \u2013 in arbitrary time. The protocols are designed through reverse engineering for both unitary and open dynamics. Control of the dissipation is achieved using stochastic processes, readily implementable via, e.g., continuous quantum measurements. Importantly, this allows controlling the state entropy and can be used for fast thermalization. The developed protocols are thus suited to generate squeezed thermal states at controlled temperature in arbitrary time.<\/jats:p>","DOI":"10.22331\/q-2021-05-01-449","type":"journal-article","created":{"date-parts":[[2021,5,1]],"date-time":"2021-05-01T07:35:05Z","timestamp":1619854505000},"page":"449","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":17,"title":["Shortcuts to Squeezed Thermal States"],"prefix":"10.22331","volume":"5","author":[{"given":"L\u00e9once","family":"Dupays","sequence":"first","affiliation":[{"name":"Donostia International Physics Center, E-20018 San Sebasti\u00e1n, Spain"},{"name":"Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, G.D. Luxembourg"}]},{"given":"Aur\u00e9lia","family":"Chenu","sequence":"additional","affiliation":[{"name":"Donostia International Physics Center, E-20018 San Sebasti\u00e1n, Spain"},{"name":"Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, G.D. Luxembourg"},{"name":"Ikerbasque, Basque Foundation for Science, E-48013 Bilbao, Spain"}]}],"member":"9598","published-online":{"date-parts":[[2021,5,1]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"J. Abadie, others, and The LIGO Scientific Collaboration, Nature Physics 7, 962 (2011).","DOI":"10.1038\/nphys2083"},{"key":"1","doi-asserted-by":"publisher","unstructured":"F. Wolfgramm, A. Cer\u00e8, F. A. Beduini, A. Predojevi\u0107, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).","DOI":"10.1103\/PhysRevLett.105.053601"},{"key":"2","doi-asserted-by":"publisher","unstructured":"E. S. Polzik, Nature 453, 45 (2008).","DOI":"10.1038\/453045a"},{"key":"3","doi-asserted-by":"crossref","unstructured":"H. J. Kimble and D. F. Walls, J. Opt. Soc. Am. B 4, 1449 (1987).","DOI":"10.1364\/JOSAB.4.001450"},{"key":"4","doi-asserted-by":"publisher","unstructured":"E. S. Polzik, J. Carri, and H. J. Kimble, Phys. Rev. Lett. 68, 3020 (1992).","DOI":"10.1103\/PhysRevLett.68.3020"},{"key":"5","doi-asserted-by":"publisher","unstructured":"H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Go\u00dfler, K. Danzmann, and R. Schnabel, Phys. Rev. Lett. 100, 033602 (2008).","DOI":"10.1103\/PhysRevLett.100.033602"},{"key":"6","doi-asserted-by":"publisher","unstructured":"Y. Takeno, M. Yukawa, H. Yonezawa, and A. Furusawa, Optics Express 15, 4321 (2007).","DOI":"10.1364\/OE.15.004321"},{"key":"7","doi-asserted-by":"publisher","unstructured":"C. F. McCormick, V. Boyer, E. Arimondo, and P. D. Lett, Optics Letters 32, 178 (2007).","DOI":"10.1364\/OL.32.000178"},{"key":"8","doi-asserted-by":"publisher","unstructured":"C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, and M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980).","DOI":"10.1103\/RevModPhys.52.341"},{"key":"9","doi-asserted-by":"publisher","unstructured":"K. Goda, O. Miyakawa, E. E. Mikhailov, S. Saraf, R. Adhikari, K. McKenzie, R. Ward, S. Vass, A. J. Weinstein, and N. Mavalvala, Nature Physics 4, 472 (2008).","DOI":"10.1038\/nphys920"},{"key":"10","doi-asserted-by":"publisher","unstructured":"M. Tse, others, and The LIGO Scientific Collaboration, Phys. Rev. Lett. 123, 231107 (2019).","DOI":"10.1103\/PhysRevLett.123.231107"},{"key":"11","doi-asserted-by":"publisher","unstructured":"J. Klaers, Phys. Rev. Lett. 122, 040602 (2019).","DOI":"10.1103\/PhysRevLett.122.040602"},{"key":"12","doi-asserted-by":"publisher","unstructured":"X. L. Huang, T. Wang, and X. X. Yi, Phys. Rev. E 86, 051105 (2012).","DOI":"10.1103\/PhysRevE.86.051105"},{"key":"13","doi-asserted-by":"publisher","unstructured":"J. Ro\u00dfnagel, O. Abah, F. Schmidt-Kaler, K. Singer, and E. Lutz, Phys. Rev. Lett. 112, 030602 (2014).","DOI":"10.1103\/PhysRevLett.112.030602"},{"key":"14","doi-asserted-by":"publisher","unstructured":"L. A. Correa, J. P. Palao, D. Alonso, and G. Adesso, Scientific Reports 4, 1 (2014).","DOI":"10.1038\/srep03949"},{"key":"15","doi-asserted-by":"publisher","unstructured":"G. Manzano, F. Galve, R. Zambrini, and J. M. R. Parrondo, Phys. Rev. E 93, 052120 (2016).","DOI":"10.1103\/PhysRevE.93.052120"},{"key":"16","doi-asserted-by":"publisher","unstructured":"W. Niedenzu, D. Gelbwaser-Klimovsky, A. G. Kofman, and G. Kurizki, New J. Phys. 18, 083012 (2016).","DOI":"10.1088\/1367-2630\/18\/8\/083012"},{"key":"17","doi-asserted-by":"publisher","unstructured":"W. Niedenzu, V. Mukherjee, A. Ghosh, A. G. Kofman, and G. Kurizki, Nature Communications 9, 1 (2018).","DOI":"10.1038\/s41467-017-01991-6"},{"key":"18","doi-asserted-by":"publisher","unstructured":"J. Klaers, S. Faelt, A. Imamoglu, and E. Togan, Phys. Rev. X 7, 031044 (2017).","DOI":"10.1103\/PhysRevX.7.031044"},{"key":"19","doi-asserted-by":"publisher","unstructured":"M. Rashid, T. Tufarelli, J. Bateman, J. Vovrosh, D. Hempston, M. S. Kim, and H. Ulbricht, Phys. Rev. Lett. 117, 273601 (2016).","DOI":"10.1103\/PhysRevLett.117.273601"},{"key":"20","doi-asserted-by":"publisher","unstructured":"T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).","DOI":"10.1126\/science.1156032"},{"key":"21","doi-asserted-by":"publisher","unstructured":"P. Meystre, Annalen der Physik 525, 215 (2012).","DOI":"10.1002\/andp.201200226"},{"key":"22","doi-asserted-by":"publisher","unstructured":"M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014).","DOI":"10.1103\/RevModPhys.86.1391"},{"key":"23","doi-asserted-by":"publisher","unstructured":"M. Asjad, G. S. Agarwal, M. S. Kim, P. Tombesi, G. D. Giuseppe, and D. Vitali, Phys. Rev. A 89, 023849 (2014).","DOI":"10.1103\/PhysRevA.89.023849"},{"key":"24","doi-asserted-by":"publisher","unstructured":"G. Milburn and D. F. Walls, Optics Communications 39, 401 (1981).","DOI":"10.1016\/0030-4018(81)90232-7"},{"key":"25","doi-asserted-by":"publisher","unstructured":"A. Szorkovszky, A. C. Doherty, G. I. Harris, and W. P. Bowen, Phys. Rev. Lett. 107, 213603 (2011).","DOI":"10.1103\/PhysRevLett.107.213603"},{"key":"26","doi-asserted-by":"publisher","unstructured":"A. Szorkovszky, G. A. Brawley, A. C. Doherty, and W. P. Bowen, Phys. Rev. Lett. 110, 184301 (2013).","DOI":"10.1103\/PhysRevLett.110.184301"},{"key":"27","doi-asserted-by":"publisher","unstructured":"C. M. Caves, Phys. Rev. D 23, 1693 (1981).","DOI":"10.1103\/PhysRevD.23.1693"},{"key":"28","doi-asserted-by":"publisher","unstructured":"V. B. Braginsky, Y. I. Vorontsov, and K. S. Thorne, Science 209, 547 (1980).","DOI":"10.1126\/science.209.4456.547"},{"key":"29","doi-asserted-by":"publisher","unstructured":"R. Ruskov, K. Schwab, and A. N. Korotkov, Phys. Rev. B 71, 235407 (2005).","DOI":"10.1103\/PhysRevB.71.235407"},{"key":"30","doi-asserted-by":"publisher","unstructured":"A. A. Clerk, F. Marquardt, and K. Jacobs, New J. Phys. 10, 095010 (2008).","DOI":"10.1088\/1367-2630\/10\/9\/095010"},{"key":"31","doi-asserted-by":"publisher","unstructured":"M. G. Genoni, S. Mancini, and A. Serafini, Phys. Rev. A 87, 042333 (2013).","DOI":"10.1103\/PhysRevA.87.042333"},{"key":"32","doi-asserted-by":"publisher","unstructured":"M. G. Genoni, J. Zhang, J. Millen, P. F. Barker, and A. Serafini, New J. Phys. 17, 073019 (2015a).","DOI":"10.1088\/1367-2630\/17\/7\/073019"},{"key":"33","doi-asserted-by":"publisher","unstructured":"M. Brunelli, D. Malz, and A. Nunnenkamp, Phys. Rev. Lett. 123, 093602 (2019).","DOI":"10.1103\/PhysRevLett.123.093602"},{"key":"34","doi-asserted-by":"publisher","unstructured":"C. Meng, G. A. Brawley, J. S. Bennett, M. R. Vanner, and W. P. Bowen, Phys. Rev. Lett. 125, 043604 (2020).","DOI":"10.1103\/PhysRevLett.125.043604"},{"key":"35","doi-asserted-by":"publisher","unstructured":"J. S. Bennett, L. S. Madsen, H. Rubinsztein-Dunlop, and W. P. Bowen, New J. Phys. 22, 103028 (2020).","DOI":"10.1088\/1367-2630\/abb73f"},{"key":"36","unstructured":"M.-Z. Huang, J. A. de la Paz, T. Mazzoni, K. Ott, A. Sinatra, C. L. G. Alzar, and J. Reichel, arXiv:2007.01964 (2020)."},{"key":"37","doi-asserted-by":"publisher","unstructured":"A. Kronwald, F. Marquardt, and A. A. Clerk, Phys. Rev. A 88, 063833 (2013).","DOI":"10.1103\/PhysRevA.88.063833"},{"key":"38","doi-asserted-by":"publisher","unstructured":"O. Abah and E. Lutz, EPL (Europhysics Letters) 106, 20001 (2014).","DOI":"10.1209\/0295-5075\/106\/20001"},{"key":"39","doi-asserted-by":"publisher","unstructured":"E. E. Wollman, C. U. Lei, A. J. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A. A. Clerk, and K. C. Schwab, Science 349, 952 (2015).","DOI":"10.1126\/science.aac5138"},{"key":"40","doi-asserted-by":"publisher","unstructured":"J.-M. Pirkkalainen, E. Damsk\u00e4gg, M. Brandt, F. Massel, and M. A. Sillanp\u00e4\u00e4, Phys. Rev. Lett. 115, 243601 (2015).","DOI":"10.1103\/PhysRevLett.115.243601"},{"key":"41","doi-asserted-by":"publisher","unstructured":"M. S. Kim, F. A. M. de Oliveira, and P. L. Knight, Phys. Rev. A 40, 2494 (1989a).","DOI":"10.1103\/PhysRevA.40.2494"},{"key":"42","doi-asserted-by":"publisher","unstructured":"P. Kr\u00e1l, Phys. Rev. A 42, 4177 (1990).","DOI":"10.1103\/PhysRevA.42.4177"},{"key":"43","doi-asserted-by":"publisher","unstructured":"D. F. Walls, Nature 306, 141 (1983).","DOI":"10.1038\/306141a0"},{"key":"44","doi-asserted-by":"publisher","unstructured":"A. del Campo and K. Kim, New J. Phys. 21, 050201 (2019).","DOI":"10.1088\/1367-2630\/ab1437"},{"key":"45","doi-asserted-by":"publisher","unstructured":"X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Gu\u00e9ry-Odelin, and J. G. Muga, Phys. Rev. Lett. 104, 063002 (2010).","DOI":"10.1103\/PhysRevLett.104.063002"},{"key":"46","doi-asserted-by":"publisher","unstructured":"G. Vacanti, R. Fazio, S. Montangero, G. M. Palma, M. Paternostro, and V. Vedral, New J. Phys. 16, 053017 (2014).","DOI":"10.1088\/1367-2630\/16\/5\/053017"},{"key":"47","doi-asserted-by":"publisher","unstructured":"S. Alipour, A. Chenu, A. T. Rezakhani, and A. del Campo, Quantum 4, 336 (2020).","DOI":"10.22331\/q-2020-09-28-336"},{"key":"48","doi-asserted-by":"publisher","unstructured":"R. Dann, A. Tobalina, and R. Kosloff, Phys. Rev. Lett. 122, 250402 (2019).","DOI":"10.1103\/PhysRevLett.122.250402"},{"key":"49","doi-asserted-by":"publisher","unstructured":"T. Villazon, A. Polkovnikov, and A. Chandran, Phys. Rev. A 100, 012126 (2019).","DOI":"10.1103\/PhysRevA.100.012126"},{"key":"50","doi-asserted-by":"publisher","unstructured":"L. Dupays, I. L. Egusquiza, A. del Campo, and A. Chenu, Phys. Rev. Research 2, 033178 (2020).","DOI":"10.1103\/PhysRevResearch.2.033178"},{"key":"51","doi-asserted-by":"crossref","unstructured":"R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford University Press, Oxford, 2000).","DOI":"10.1093\/oso\/9780198501770.003.0002"},{"key":"52","doi-asserted-by":"crossref","unstructured":"L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).","DOI":"10.1017\/CBO9781139644105"},{"key":"53","doi-asserted-by":"crossref","unstructured":"G. D. Mahan, Many-Particle Physics, 3rd ed. (Kluwer Academic Publishers, 2000).","DOI":"10.1007\/978-1-4757-5714-9"},{"key":"54","doi-asserted-by":"publisher","unstructured":"A. Chenu, S.-Y. Shiau, and M. Combescot, Phys. Rev. B 99, 014302 (2019).","DOI":"10.1103\/PhysRevB.99.014302"},{"key":"55","doi-asserted-by":"publisher","unstructured":"J. G. Muga, X. Chen, S. Ib\u00e1\u00f1ez, I. Lizuain, and A. Ruschhaupt, J. Physics B: Atomic, Molecular and Optical Physics 43, 085509 (2010).","DOI":"10.1088\/0953-4075\/43\/8\/085509"},{"key":"56","doi-asserted-by":"publisher","unstructured":"A. del Campo, Phys. Rev. Lett. 111, 100502 (2013).","DOI":"10.1103\/PhysRevLett.111.100502"},{"key":"57","doi-asserted-by":"publisher","unstructured":"K. Funo, J.-N. Zhang, C. Chatou, K. Kim, M. Ueda, and A. del Campo, Phys. Rev. Lett. 118, 100602 (2017).","DOI":"10.1103\/PhysRevLett.118.100602"},{"key":"58","doi-asserted-by":"publisher","unstructured":"C. F. Lo, J. Physics A: Mathematical and General 23, 1155 (1990).","DOI":"10.1088\/0305-4470\/23\/7\/021"},{"key":"59","doi-asserted-by":"publisher","unstructured":"D. J. Heinzen and D. J. Wineland, Phys. Rev. A 42, 2977 (1990).","DOI":"10.1103\/PhysRevA.42.2977"},{"key":"60","doi-asserted-by":"publisher","unstructured":"H.-K. Lau and D. F. V. James, Phys. Rev. A 85, 062329 (2012).","DOI":"10.1103\/PhysRevA.85.062329"},{"key":"61","doi-asserted-by":"publisher","unstructured":"D. Wineland, C. Monroe, W. Itano, D. Leibfried, B. King, and D. Meekhof, J. Res. Natl. Inst. Stand. Tech. 103, 259 (1998).","DOI":"10.6028\/jres.103.019"},{"key":"62","doi-asserted-by":"publisher","unstructured":"M. A. Lohe, J. Physics A: Mathematical and Theoretical 42, 035307 (2009).","DOI":"10.1088\/1751-8113\/42\/3\/035307"},{"key":"63","doi-asserted-by":"crossref","unstructured":"V. P. Ermakov, Univ. Izv. Kiev Ser. III 9, 1 (1880), Appl. Anal. Discrete Math. 2, 123 (2008 Engl. Transl.).","DOI":"10.2298\/AADM0802123E"},{"key":"64","doi-asserted-by":"publisher","unstructured":"S. Deffner, C. Jarzynski, and A. del Campo, Phys. Rev. X 4, 021013 (2014).","DOI":"10.1103\/PhysRevX.4.021013"},{"key":"65","doi-asserted-by":"publisher","unstructured":"W. Ketterle and D. E. Pritchard, Phys. Rev. A 46, 4051 (1992).","DOI":"10.1103\/PhysRevA.46.4051"},{"key":"66","doi-asserted-by":"publisher","unstructured":"M. Kim, M. G. Kim, and K. Lee, J. Modern Optics 41, 569 (1994),.","DOI":"10.1080\/09500349414550551"},{"key":"67","doi-asserted-by":"publisher","unstructured":"E. Joos and H. D. Zeh, Zeitschrift f\u00fcr Physik B Condensed Matter 59, 223 (1985).","DOI":"10.1007\/BF01725541"},{"key":"68","doi-asserted-by":"publisher","unstructured":"M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition (Springer, Berlin, 2007).","DOI":"10.1007\/978-3-540-35775-9"},{"key":"69","doi-asserted-by":"publisher","unstructured":"P. Meystre and M. Zubairy, Physics Letters A 89, 390 (1982).","DOI":"10.1016\/0375-9601(82)90330-9"},{"key":"70","doi-asserted-by":"publisher","unstructured":"J. R. Kukli\u0144ski and J. L. Madajczyk, Phys. Rev. A 37, 3175 (1988).","DOI":"10.1103\/PhysRevA.37.3175"},{"key":"71","doi-asserted-by":"publisher","unstructured":"C. Gerry and P. Knight, Introductory Quantum Optics (Cambridge University Press, 2004).","DOI":"10.1017\/CBO9780511791239"},{"key":"72","unstructured":"R. Glauber, Proc. Int. School of Physics\u2019 Enrico Fermi\u2019Course 118 (1992)."},{"key":"73","doi-asserted-by":"publisher","unstructured":"D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).","DOI":"10.1103\/RevModPhys.75.281"},{"key":"74","doi-asserted-by":"publisher","unstructured":"E. Brion, L. H. Pedersen, and K. M\u00f8lmer, J. Physics A: Mathematical and Theoretical 40, 1033 (2007).","DOI":"10.1088\/1751-8113\/40\/5\/011"},{"key":"75","doi-asserted-by":"publisher","unstructured":"I. Lizuain, J. G. Muga, and J. Eschner, Phys. Rev. A 77, 053817 (2008).","DOI":"10.1103\/PhysRevA.77.053817"},{"key":"76","doi-asserted-by":"publisher","unstructured":"K. Jacobs and D. A. Steck, Contemporary Physics 47, 279 (2006).","DOI":"10.1080\/00107510601101934"},{"key":"77","doi-asserted-by":"publisher","unstructured":"N. H. McCoy, Proceedings of the Edinburgh Mathematical Society 3, 118 (1932).","DOI":"10.1017\/S0013091500013870"},{"key":"78","doi-asserted-by":"publisher","unstructured":"P. C. Haljan, K.-A. Brickman, L. Deslauriers, P. J. Lee, and C. Monroe, Phys. Rev. Lett. 94, 153602 (2005).","DOI":"10.1103\/PhysRevLett.94.153602"},{"key":"79","doi-asserted-by":"publisher","unstructured":"I. Saideh, D. Finkelstein-Shapiro, T. o. Pullerits, and A. Keller, Phys. Rev. A 102, 032212 (2020).","DOI":"10.1103\/PhysRevA.102.032212"},{"key":"80","doi-asserted-by":"publisher","unstructured":"D. Finkelstein-Shapiro, D. Viennot, I. Saideh, T. Hansen, T. Pullerits, and A. Keller, Phys. Rev. A 101, 042102 (2020).","DOI":"10.1103\/PhysRevA.101.042102"},{"key":"81","doi-asserted-by":"publisher","unstructured":"F. Reiter and A. S. S\u00f8rensen, Phys. Rev. A 85, 032111 (2012).","DOI":"10.1103\/PhysRevA.85.032111"},{"key":"82","doi-asserted-by":"publisher","unstructured":"M. G. Genoni, M. Bina, S. Olivares, G. D. Chiara, and M. Paternostro, New J. Phys. 17, 013034 (2015b).","DOI":"10.1088\/1367-2630\/17\/1\/013034"},{"key":"83","doi-asserted-by":"publisher","unstructured":"H. Seifoory, S. Doutre, M. M. Dignam, and J. E. Sipe, J. Opt. Soc. Am. B 34, 1587 (2017).","DOI":"10.1364\/JOSAB.34.001587"},{"key":"84","unstructured":"R. T. Sutherland, S. C. Burd, D. H. Slichter, S. B. Libby, and D. Leibfried, arXiv:2103.05832 (2021)."},{"key":"85","doi-asserted-by":"publisher","unstructured":"Y. Rezek and R. Kosloff, New J. Phys. 8, 83 (2006).","DOI":"10.1088\/1367-2630\/8\/5\/083"},{"key":"86","doi-asserted-by":"publisher","unstructured":"M. Born, W. Heisenberg, and P. Jordan, Zeitschrift f\u00fcr Physik 35, 557 (1926).","DOI":"10.1007\/BF01379806"},{"key":"87","doi-asserted-by":"publisher","unstructured":"S. L. Adler, Phys. Rev. D 67, 025007 (2003).","DOI":"10.1103\/PhysRevD.67.025007"},{"key":"88","doi-asserted-by":"publisher","unstructured":"S. V. Lawande and A. Joshi, Phys. Rev. A 50, 1692 (1994).","DOI":"10.1103\/PhysRevA.50.1692"},{"key":"89","doi-asserted-by":"publisher","unstructured":"Q. Qiu, S. Tao, C. Liu, S. Guan, M. Xie, and B. Fan, Phys. Rev. A 96, 063808 (2017).","DOI":"10.1103\/PhysRevA.96.063808"},{"key":"90","doi-asserted-by":"publisher","unstructured":"M. Scala, B. Militello, A. Messina, J. Piilo, and S. Maniscalco, Phys. Rev. A 75, 013811 (2007a).","DOI":"10.1103\/PhysRevA.75.013811"},{"key":"91","doi-asserted-by":"publisher","unstructured":"M. Scala, B. Militello, A. Messina, S. Maniscalco, J. Piilo, and K.-A. Suominen, J. Physics A: Mathematical and Theoretical 40, 14527 (2007b).","DOI":"10.1088\/1751-8113\/40\/48\/015"}],"container-title":["Quantum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/quantum-journal.org\/papers\/q-2021-05-01-449\/pdf\/","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T00:52:16Z","timestamp":1724979136000},"score":1,"resource":{"primary":{"URL":"https:\/\/quantum-journal.org\/papers\/q-2021-05-01-449\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,1]]},"references-count":92,"URL":"https:\/\/doi.org\/10.22331\/q-2021-05-01-449","archive":["CLOCKSS"],"relation":{},"ISSN":["2521-327X"],"issn-type":[{"value":"2521-327X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,1]]},"article-number":"449"}}