Collision Dynamics of Dissipative Matter-Wave Solitons in a Perturbed Optical Lattice
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Abstract
We investigate the stability and collision dynamics of dissipative matter-wave solitons formed in a quasi-one-dimensional Bose–Einstein condensate with linear gain and three-body recombination loss perturbed by a weak optical lattice. It is shown that the linear gain can modify the stability of the single dissipative soliton moving in the optical lattice. The collision dynamics of two individual dissipative matter-wave solitons explicitly depend on the linear gain parameter, and they display different dynamical behaviors in both the in-phase and out-of-phase interaction regimes. -
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References
[1] Skryabin D V and Gorbach A V 2010 Rev. Mod. Phys. 82 1287 doi: 10.1103/RevModPhys.82.1287[2] Kartashov Y V, Malomed B A and Torner L 2011 Rev. Mod. Phys. 83 247 doi: 10.1103/RevModPhys.83.247[3] Karpov M, Guo H, Kordts A, Brasch V, Pfeiffer M H P, Zervas M, Geiselmann M and Kippenberg T J 2016 Phys. Rev. Lett. 116 103902 doi: 10.1103/PhysRevLett.116.103902[4] Wu Y and Deng L 2004 Phys. Rev. Lett. 93 143904 doi: 10.1103/PhysRevLett.93.143904[5] Lee C and Brand J 2006 Europhys. Lett. 73 00321 doi: 10.1209/epl/i2005-10408-4[6] Chong G S and Hai W H 2007 J. Phys. B 40 211 doi: 10.1088/0953-4075/40/1/019[7] Song S W, Wang D S, Wang H Q and Liu W M 2012 Phys. Rev. A 85 063617 doi: 10.1103/PhysRevA.85.063617[8] Xu Y, Zhang Y P and Wu B 2013 Phys. Rev. A 87 013614 doi: 10.1103/PhysRevA.87.013614[9] Liu Y K and Yang S J 2014 Chin. Phys. B 23 110308 doi: 10.1088/1674-1056/23/11/110308[10] Li Q Y, Wang S J and Li Z D 2014 Chin. Phys. B 23 060310 doi: 10.1088/1674-1056/23/6/060310[11] Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290 doi: 10.1126/science.1071021[12] Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150 doi: 10.1038/nature747[13] Weiss C and Castin Y 2009 Phys. Rev. Lett. 102 010403 doi: 10.1103/PhysRevLett.102.010403[14] Billam T P, Cornish S L and Gardiner S A 2011 Phys. Rev. A 83 041602R doi: 10.1103/PhysRevA.83.041602[15] Nguyen J H V, Dyke P, Luo D, Malomed B A and Hulet R G 2014 Nat. Phys. 10 918 doi: 10.1038/nphys3135[16] Yan J R, Zhou J and Ao S M 2012 Chin. Phys. Lett. 29 050302 doi: 10.1088/0256-307X/29/5/050302[17] Wu Z K, Zhang Y Z, Hu Y, Wen F, Zhang Y Q and Zhang Y P 2014 Chin. Phys. Lett. 31 090502 doi: 10.1088/0256-307X/31/9/090502[18] Bland T, Edmonds M J, Proukakis N P, Martin A M, O'Dell D H J and Parker N G 2015 Phys. Rev. A 92 063601 doi: 10.1103/PhysRevA.92.063601[19] Baizakov B B, Al-Marzoug S M and Bahlouli H 2015 Phys. Rev. A 92 033605 doi: 10.1103/PhysRevA.92.033605[20] Chen W, Shen M, Kong Q, Shi J, Wang Q and Krolikowski W 2014 Opt. Lett. 39 1764 doi: 10.1364/OL.39.001764[21] Shen M, Gao J and Ge L 2015 Sci. Rep. 5 9814 doi: 10.1038/srep09814[22] Niang A, Amrani F, Salhi M, Leblond H and Sanchez F 2015 Phys. Rev. A 92 033831 doi: 10.1103/PhysRevA.92.033831[23] Li M and Xu T 2015 Phys. Rev. E 91 033202 doi: 10.1103/PhysRevE.91.033202[24] Bludov Y V, Hang C, Huang G and Konotop V V 2014 Opt. Lett. 39 3382 doi: 10.1364/OL.39.003382[25] Kagan Y, Muryshev A E and Shlyapnikov G V 1998 Phys. Rev. Lett. 81 933 doi: 10.1103/PhysRevLett.81.933[26] Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, N? gerl H C and Grimm R 2006 Nature 440 315 doi: 10.1038/nature04626[27] Shotan Z, Machtey O, Kokkelmans S and Khaykovich L 2014 Phys. Rev. Lett. 113 053202 doi: 10.1103/PhysRevLett.113.053202[28] Maier T, Kadau H, Schmitt M, Wenzel M, Ferrier-Barbut I, Pfau T, Frisch A, Baier S, Aikawa K, Chomaz L, Mark M J, Ferlaino F, Makrides C, Tiesinga E, Petrov A and Kotochigova S 2015 Phys. Rev. X 5 041029 doi: 10.1103/PhysRevX.5.041029[29] Adhikari S K 2006 Laser Phys. Lett. 3 553 doi: 10.1002/lapl.200610047[30] Wang H C, Ling D X and He Y J 2015 Chin. Phys. Lett. 32 074203 doi: 10.1088/0256-307X/32/7/074203[31] Yan J R, Tang Y and Zhou G G 1998 Phys. Rev. E 58 1064 doi: 10.1103/PhysRevE.58.1064[32] Zhou Z, Hai W, Xie Q and Tan J T 2013 New J. Phys. 15 123020 doi: 10.1088/1367-2630/15/12/123020[33] Poletti D, Alexander T J, Ostrovskaya E A, Li B W and Kivshar Y S 2008 Phys. Rev. Lett. 101 150403 doi: 10.1103/PhysRevLett.101.150403[34] Scharf R and Bishop A R 1992 Phys. Rev. A 46 R2793 doi: 10.1103/PhysRevA.46.R2973[35] Zhou Z, Hai W, Deng Y and Xie Q 2012 Chaos Solitons Fractals 45 1423 doi: 10.1016/j.chaos.2012.07.005[36] Helm J L, Billam T P and Gardiner S A 2012 Phys. Rev. A 85 053621 doi: 10.1103/PhysRevA.85.053621[37] Sun Z, Kevrekidis P G and Krü ger P 2014 Phys. Rev. A 90 063612 doi: 10.1103/PhysRevA.90.063612 -
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