Quench dynamics of two one-dimensional harmonically trapped bosons bridging attraction and repulsion

References

• M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen and U. Sen, Adv. Phys. 56, 243 (2007). doi: 10.1080/00018730701223200
   Web of Science ®Google Scholar
• I. Bloch, J. Dalibard and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). doi: 10.1103/RevModPhys.80.885
   Web of Science ®Google Scholar
• R. Onofrio, Physics-Uspekhi 59, 1129 (2017). doi: 10.3367/UFNe.2016.07.037873
   Web of Science ®Google Scholar
• F. Serwane, G. Zürn, T. Lompe, T.B. Ottenstein, A.N. Wenz and S. Jochim, Science 332, 336 (2011). doi: 10.1126/science.1201351
   PubMed Web of Science ®Google Scholar
• G. Zürn, F. Serwane, T. Lompe, A.N. Wenz, M.G. Ries, J.E. Bohn and S. Jochim, Phys. Rev. Lett. 108, 075303 (2012). doi: 10.1103/PhysRevLett.108.075303
   PubMed Web of Science ®Google Scholar
• A.N. Wenz, G. Zürn, S. Murmann, I. Brouzos, T. Lompe and S. Jochim, Science 342, 457 (2013). doi: 10.1126/science.1240516
   PubMed Web of Science ®Google Scholar
• M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch and I. Bloch, Nature 415, 39 (2002). doi: 10.1038/415039a
   PubMed Web of Science ®Google Scholar
• S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn and W. Ketterle, Nature 392, 151 (1998). doi: 10.1038/32354
   Web of Science ®Google Scholar
• C. Chin, R. Grimm, P. Julienne and E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010). doi: 10.1103/RevModPhys.82.1225
   Web of Science ®Google Scholar
• K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957). doi: 10.1103/PhysRev.105.767
   Web of Science ®Google Scholar
• A. Derevianko, Phys. Rev. A 72, 044701 (2005).
   Web of Science ®Google Scholar
• D. Blume, Rep. Progr. Phys. 75, 046401 (2012). doi: 10.1088/0034-4885/75/4/046401
   PubMed Web of Science ®Google Scholar
• A. Polkovnikov, K. Sengupta, A. Silva and M. Vengalattore, Rev. Mod. Phys. 83, 863 (2011). doi: 10.1103/RevModPhys.83.863
   Web of Science ®Google Scholar
• T. Langen, R. Geiger and J. Schmiedmayer, Annu. Rev. Cond. Mat. Phys. 6, 201 (2015). doi: 10.1146/annurev-conmatphys-031214-014548
   Web of Science ®Google Scholar
• C. Kollath, A.M. Läuchli and E. Altman, Phys. Rev. Lett. 98, 180601 (2007). doi: 10.1103/PhysRevLett.98.180601
   PubMed Web of Science ®Google Scholar
• A.M. Läuchli and C. Kollath, J. Stat. Mech.: Theory Exp. P05018, (2008).
   Google Scholar
• S.I. Mistakidis, L. Cao and P. Schmelcher, J. Phys. B: At. Mol. Opt. Phys. 47, 225303 (2014). doi: 10.1088/0953-4075/47/22/225303
   Web of Science ®Google Scholar
• S.I. Mistakidis, L. Cao and P. Schmelcher, Phys. Rev. A 91, 033611 (2015). doi: 10.1103/PhysRevA.91.033611
   Web of Science ®Google Scholar
• Th. Busch, B.G. Englert, K. Rzazewski and M. Wilkens, Found. Phys. 28, 549 (1997). doi: 10.1023/A:1018705520999
   Web of Science ®Google Scholar
• A. Farrell and B.P. Van Zyl, J. Phys. A: Math. and Th. 43, 015302 (2009).
   Web of Science ®Google Scholar
• S. Albeverio, S. Fassari and F. Rinaldi, J. Phys. A: Math. and Th. 46, 385305 (2013). doi: 10.1088/1751-8113/46/38/385305
   Web of Science ®Google Scholar
• T. Stöferle, H. Moritz, K. Günter, M. Köhl and T. Esslinger, Phys. Rev. Lett. 96, 030401 (2006). doi: 10.1103/PhysRevLett.96.030401
   PubMed Web of Science ®Google Scholar
• M. Block and M. Holthaus, Phys. Rev. A 65, 052102 (2002). doi: 10.1103/PhysRevA.65.052102
   Web of Science ®Google Scholar
• P. Shea, B.P. van Zyl and R.K. Bhaduri, Am. J. Phys. 77, 511 (2009). doi: 10.1119/1.3013812
   Web of Science ®Google Scholar
• M.A Cirone, K. Góral, K. Rzazewski and M. Wilkens, J. Phys. B: At., Mol. Opt. Phys. 34, 4571 (2001). doi: 10.1088/0953-4075/34/23/304
   Web of Science ®Google Scholar
• Z. Idziaszek and T. Calarco, Phys. Rev. A 71, 050701 (2005).
   Web of Science ®Google Scholar
• Z. Idziaszek and T. Calarco, Phys. Rev. A 74, 022712 (2006). doi: 10.1103/PhysRevA.74.022712
   Web of Science ®Google Scholar
• R. Stock, A. Silberfarb, E.L. Bolda and I.H. Deutsch, Phys. Rev. Lett. 94, 023202 (2005). doi: 10.1103/PhysRevLett.94.023202
   PubMed Web of Science ®Google Scholar
• Z. Idziaszek and T. Calarco, Phys. Rev. Lett. 96, 013201 (2006). doi: 10.1103/PhysRevLett.96.013201
   PubMed Web of Science ®Google Scholar
• M. Ebert, A.G. Volosniev and H.-W. Hammer, Ann. Phys. 528, 693 (2016). doi: 10.1002/andp.201500365
   Web of Science ®Google Scholar
• L.M.A. Kehrberger, V.J. Bolsinger and P. Schmelcher, Phys. Rev. A 97, 013606 (2018). doi: 10.1103/PhysRevA.97.013606
   Web of Science ®Google Scholar
• D. Ledesma, A. Romero-Ros, A. Polls and B. Juliá-Díaz, arXiv:1811.01790 (2018).
   Google Scholar
• M.Á. García-March, T. Fogarty, S. Campbell, T. Busch and M. Paternostro, New J. Phys. 18, 103035 (2016). doi: 10.1088/1367-2630/18/10/103035
   Web of Science ®Google Scholar
• T. Sowiński, M. Brewczyk, M. Gajda and K. Rzżewski, Phys. Rev. A 82, 053631 (2010). doi: 10.1103/PhysRevA.82.053631
   Web of Science ®Google Scholar
• L. Tonks, Phys. Rev. 50, 955 (1936). doi: 10.1103/PhysRev.50.955
   Google Scholar
• M. Girardeau, J. Math. Phys. 1, 516 (1960). doi: 10.1063/1.1703687
   Web of Science ®Google Scholar
• T. Fogarty, L. Ruks, J. Li and T. Busch, arXiv:1806.08506 (2018).
   Google Scholar
• I. Reshodko, A. Benseny and T. Busch, Phys. Rev. A 96, 023606 (2017). doi: 10.1103/PhysRevA.96.023606
   Web of Science ®Google Scholar
• A. Benseny, J. Gillet and T. Busch, Phys. Rev. A 93, 033629 (2016). doi: 10.1103/PhysRevA.93.033629
   Web of Science ®Google Scholar
• A. Benseny, A. Kiely, Y. Zhang, T. Busch and A. Ruschhaupt, EPJ 4, 3 (2017).
   Google Scholar
• J. Neuhaus-Steinmetz, S.I. Mistakidis and P. Schmelcher, Phys. Rev. A 95, 053610 (2017). doi: 10.1103/PhysRevA.95.053610
   Web of Science ®Google Scholar
• S. Campbell, M.Á. García-March, T. Fogarty and T. Busch, Phys. Rev. A 90, 013617 (2014). doi: 10.1103/PhysRevA.90.013617
   Web of Science ®Google Scholar
• T. Plaßmann, S.I. Mistakidis and P. Schmelcher, J. Phys. B: At. Mol. Opt. Phys. 51, 225001 (2018). doi: 10.1088/1361-6455/aae57a
   Web of Science ®Google Scholar
• S. Zöllner, H.D. Meyer and P. Schmelcher, Phys. Rev. A 75, 043608 (2007). doi: 10.1103/PhysRevA.75.043608
   Web of Science ®Google Scholar
• E. Tempfli, S. Zöllner and P. Schmelcher, New J. Phys. 10, 103021 (2008). doi: 10.1088/1367-2630/10/10/103021
   Web of Science ®Google Scholar
• I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic press, USA, 2014).
   Google Scholar
• M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Applied Mathematics Series 55) (National Bureau of Standards, Washington, DC, 1964).
   Google Scholar
• L.C. Andrews and L.C. Andrews, Special Functions of Mathematics for Engineers (McGraw-Hill, New York, 1992), p. 407.
   Google Scholar
• V. Jelic and F. Marsiglio, EJP 33, 1651 (2012).
   Web of Science ®Google Scholar
• P. Pedram, M. Mirzaei and S.S. Gousheh, Mol. Phys. 108, 1949 (2010). doi: 10.1080/00268976.2010.499115
   Web of Science ®Google Scholar
• S. Zöllner, H.D. Meyer and P. Schmelcher, Phys. Rev. A 74, 053612 (2006).
   Web of Science ®Google Scholar
• M. Naraschewski and R.J. Glauber, Phys. Rev. A 59, 4595 (1999). doi: 10.1103/PhysRevA.59.4595
   Web of Science ®Google Scholar
• K. Sakmann, A.I. Streltsov, O.E. Alon and L.S. Cederbaum, Phys. Rev. A 78, 023615 (2008). doi: 10.1103/PhysRevA.78.023615
   Web of Science ®Google Scholar
• S.I. Mistakidis, T. Wulf, A. Negretti and P. Schmelcher, J. Phys. B: At. Mol. Opt. Phys. 48, 244004 (2015). doi: 10.1088/0953-4075/48/24/244004
   Web of Science ®Google Scholar
• L.C. Venuti and P. Zanardi, Phys. Rev. A 81, 022113 (2010).
   Web of Science ®Google Scholar
• T. Gorin, T. Prosen, T.H. Seligman and M. Žnidarič, Phys. Rep. 435, 33 (2006). doi: 10.1016/j.physrep.2006.09.003
   Web of Science ®Google Scholar
• S.I. Mistakidis and P. Schmelcher, Phys. Rev. A 95, 013625 (2017). doi: 10.1103/PhysRevA.95.013625
   Web of Science ®Google Scholar
• S.I. Mistakidis, G.M. Koutentakis, and P. Schmelcher, Chem. Phys. 509, 116 (2018). doi: 10.1016/j.chemphys.2017.11.022
   Web of Science ®Google Scholar
• J.W. Abraham and M. Bonitz, Contributions to Plasma Physics 54, 27 (2014). doi: 10.1002/ctpp.201300066
   Web of Science ®Google Scholar
• J.W. Abraham, K. Balzer, D. Hochstuhl and M. Bonitz, Phys. Rev. B 86, 125112 (2012). doi: 10.1103/PhysRevB.86.125112
   Web of Science ®Google Scholar
• A.G. Sykes, J.P. Corson, J.P. D'Incao, A.P. Koller, C.H. Greene, A.M. Rey, K.R.A. Hazzard and J.L. Bohn, Phys. Rev. A 89, 021601 (2014). doi: 10.1103/PhysRevA.89.021601
   Web of Science ®Google Scholar
• J.P. Corson and J.L. Bohn, Phys. Rev. A 91, 013616 (2015). doi: 10.1103/PhysRevA.91.013616
   Web of Science ®Google Scholar
• V.E. Colussi, J.P. Corson and J.P. D'Incao, Phys. Rev. Lett. 120, 100401 (2018). doi: 10.1103/PhysRevLett.120.100401
   PubMed Web of Science ®Google Scholar
• J.P. Corson and J.L. Bohn, Phys. Rev. A 94, 023604 (2016). doi: 10.1103/PhysRevA.94.023604
   Web of Science ®Google Scholar