Scattering of matter waves in spatially inhomogeneous environments
Abstract
In this article, we study scattering of quasi-one-dimensional matter waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown that the incidence of a Gaussian wave packet from the repulsive to the attractive region gives rise to generation of a soliton train. More specifically, the number of emergent solitons can be controlled, e.g., by the variation of the amplitude or the width of the incoming wave packet. Furthermore, we study the reflectivity of a soliton incident from the attractive region to the repulsive one. We find the reflection coefficient numerically and employ analytical methods, which treat the soliton as a particle (for moderate and large amplitudes) or a quasilinear wave packet (for small amplitudes), to determine the critical soliton momentum (as a function of the soliton amplitude) for which total reflection is observed.
- Authors:
-
- Univ. of Athens, Athens (Greece)
- The Univ. of Nottingham, Nottingham (United Kingdom)
- Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1233517
- Report Number(s):
- LA-UR-15-20510
Journal ID: ISSN 1050-2947; PLRAAN; TRN: US1600430
- Grant/Contract Number:
- DMS-1312856; IRSES-605096; 2010239; FA9550-12-10332; EP/I017828/1; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
Tsitoura, F., Krüger, P., Kevrekidis, P. G., and Frantzeskakis, D. J. Scattering of matter waves in spatially inhomogeneous environments. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.91.033633.
Tsitoura, F., Krüger, P., Kevrekidis, P. G., & Frantzeskakis, D. J. Scattering of matter waves in spatially inhomogeneous environments. United States. https://doi.org/10.1103/PhysRevA.91.033633
Tsitoura, F., Krüger, P., Kevrekidis, P. G., and Frantzeskakis, D. J. Mon .
"Scattering of matter waves in spatially inhomogeneous environments". United States. https://doi.org/10.1103/PhysRevA.91.033633. https://www.osti.gov/servlets/purl/1233517.
@article{osti_1233517,
title = {Scattering of matter waves in spatially inhomogeneous environments},
author = {Tsitoura, F. and Krüger, P. and Kevrekidis, P. G. and Frantzeskakis, D. J.},
abstractNote = {In this article, we study scattering of quasi-one-dimensional matter waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown that the incidence of a Gaussian wave packet from the repulsive to the attractive region gives rise to generation of a soliton train. More specifically, the number of emergent solitons can be controlled, e.g., by the variation of the amplitude or the width of the incoming wave packet. Furthermore, we study the reflectivity of a soliton incident from the attractive region to the repulsive one. We find the reflection coefficient numerically and employ analytical methods, which treat the soliton as a particle (for moderate and large amplitudes) or a quasilinear wave packet (for small amplitudes), to determine the critical soliton momentum (as a function of the soliton amplitude) for which total reflection is observed.},
doi = {10.1103/PhysRevA.91.033633},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 3,
volume = 91,
place = {United States},
year = {2015},
month = {3}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
journal, June 2008
- Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G.
- Nonlinearity, Vol. 21, Issue 7
Formation and propagation of matter-wave soliton trains
journal, May 2002
- Strecker, Kevin E.; Partridge, Guthrie B.; Truscott, Andrew G.
- Nature, Vol. 417, Issue 6885
Formation of a Matter-Wave Bright Soliton
journal, May 2002
- Khaykovich, L.
- Science, Vol. 296, Issue 5571
Formation of Bright Matter-Wave Solitons during the Collapse of Attractive Bose-Einstein Condensates
journal, May 2006
- Cornish, Simon L.; Thompson, Sarah T.; Wieman, Carl E.
- Physical Review Letters, Vol. 96, Issue 17
Dark Solitons in Bose-Einstein Condensates
journal, December 1999
- Burger, S.; Bongs, K.; Dettmer, S.
- Physical Review Letters, Vol. 83, Issue 25
Generating Solitons by Phase Engineering of a Bose-Einstein Condensate
journal, January 2000
- Denschlag, J.
- Science, Vol. 287, Issue 5450
Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate
journal, April 2001
- Anderson, B. P.; Haljan, P. C.; Regal, C. A.
- Physical Review Letters, Vol. 86, Issue 14
Observation of Quantum Shock Waves Created with Ultra- Compressed Slow Light Pulses in a Bose-Einstein Condensate
journal, July 2001
- Dutton, Z.
- Science, Vol. 293, Issue 5530
Oscillations and interactions of dark and dark–bright solitons in Bose–Einstein condensates
journal, May 2008
- Becker, Christoph; Stellmer, Simon; Soltan-Panahi, Parvis
- Nature Physics, Vol. 4, Issue 6
Collisions of Dark Solitons in Elongated Bose-Einstein Condensates
journal, September 2008
- Stellmer, S.; Becker, C.; Soltan-Panahi, P.
- Physical Review Letters, Vol. 101, Issue 12
Experimental Observation of Oscillating and Interacting Matter Wave Dark Solitons
journal, September 2008
- Weller, A.; Ronzheimer, J. P.; Gross, C.
- Physical Review Letters, Vol. 101, Issue 13
Evidence for an oscillating soliton/vortex ring by density engineering of a Bose–Einstein condensate
journal, January 2009
- Shomroni, I.; Lahoud, E.; Levy, S.
- Nature Physics, Vol. 5, Issue 3
Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
journal, June 2010
- Theocharis, G.; Weller, A.; Ronzheimer, J. P.
- Physical Review A, Vol. 81, Issue 6
Dynamics of Bright Matter wave Solitons in a Bose–Einstein Condensate
journal, September 2005
- Kh. ABDULLAEV, Fatkhulla; Gammal, Arnaldo; Kamchatnov, Anatoly M.
- International Journal of Modern Physics B, Vol. 19, Issue 22
Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
journal, May 2010
- Frantzeskakis, D. J.
- Journal of Physics A: Mathematical and Theoretical, Vol. 43, Issue 21
Nonlinear and quantum atom optics
journal, March 2002
- Rolston, S. L.; Phillips, W. D.
- Nature, Vol. 416, Issue 6877
Observation of Feshbach resonances in a Bose–Einstein condensate
journal, March 1998
- Inouye, S.; Andrews, M. R.; Stenger, J.
- Nature, Vol. 392, Issue 6672
Strongly Enhanced Inelastic Collisions in a Bose-Einstein Condensate near Feshbach Resonances
journal, March 1999
- Stenger, J.; Inouye, S.; Andrews, M. R.
- Physical Review Letters, Vol. 82, Issue 12
Resonant Magnetic Field Control of Elastic Scattering in Cold
journal, December 1998
- Roberts, J. L.; Claussen, N. R.; Burke, James P.
- Physical Review Letters, Vol. 81, Issue 23
Stable Bose-Einstein Condensates with Widely Tunable Interactions
journal, August 2000
- Cornish, S. L.; Claussen, N. R.; Roberts, J. L.
- Physical Review Letters, Vol. 85, Issue 9
Observation of Optically Induced Feshbach Resonances in Collisions of Cold Atoms
journal, November 2000
- Fatemi, F. K.; Jones, K. M.; Lett, P. D.
- Physical Review Letters, Vol. 85, Issue 21
Tuning the Scattering Length with an Optically Induced Feshbach Resonance
journal, September 2004
- Theis, M.; Thalhammer, G.; Winkler, K.
- Physical Review Letters, Vol. 93, Issue 12
Feshbach Resonance Management for Bose-Einstein Condensates
journal, June 2003
- Kevrekidis, P. G.; Theocharis, G.; Frantzeskakis, D. J.
- Physical Review Letters, Vol. 90, Issue 23
Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity
journal, January 2002
- Towers, Isaac; Malomed, Boris A.
- Journal of the Optical Society of America B, Vol. 19, Issue 3
Nonlinearity Management in Optics: Experiment, Theory, and Simulation
journal, July 2006
- Centurion, Martin; Porter, Mason A.; Kevrekidis, P. G.
- Physical Review Letters, Vol. 97, Issue 3
Modulational Instability in a Layered Kerr Medium: Theory and Experiment
journal, December 2006
- Centurion, Martin; Porter, Mason A.; Pu, Ye
- Physical Review Letters, Vol. 97, Issue 23
Modulational instability in nonlinearity-managed optical media
journal, June 2007
- Centurion, Martin; Porter, Mason A.; Pu, Ye
- Physical Review A, Vol. 75, Issue 6
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
journal, January 2003
- Abdullaev, Fatkhulla Kh.; Caputo, Jean Guy; Kraenkel, Robert A.
- Physical Review A, Vol. 67, Issue 1
Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
journal, January 2003
- Saito, Hiroki; Ueda, Masahito
- Physical Review Letters, Vol. 90, Issue 4
Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
journal, May 2004
- Montesinos, G.
- Physica D: Nonlinear Phenomena, Vol. 191, Issue 3-4
Averaging for Solitons with Nonlinearity Management
journal, December 2003
- Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
- Physical Review Letters, Vol. 91, Issue 24
Hamiltonian averaging for solitons with nonlinearity management
journal, October 2004
- Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
- Physical Review E, Vol. 70, Issue 4
Dynamics of a Bright Soliton in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
journal, February 2005
- Liang, Z. X.; Zhang, Z. D.; Liu, W. M.
- Physical Review Letters, Vol. 94, Issue 5
Fully Three Dimensional Breather Solitons Can Be Created Using Feshbach Resonances
journal, July 2005
- Matuszewski, M.; Infeld, E.; Malomed, B. A.
- Physical Review Letters, Vol. 95, Issue 5
Matter-wave solitons of collisionally inhomogeneous condensates
journal, September 2005
- Theocharis, G.; Schmelcher, P.; Kevrekidis, P. G.
- Physical Review A, Vol. 72, Issue 3
Adiabatic compression of soliton matter waves
journal, June 2003
- Abdullaev, F. Kh; Salerno, Mario
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 36, Issue 13
Controllable Soliton Emission from a Bose-Einstein Condensate
journal, October 2005
- Rodas-Verde, María I.; Michinel, Humberto; Pérez-García, Víctor M.
- Physical Review Letters, Vol. 95, Issue 15
Analysis of an atom laser based on the spatial control of the scattering length
journal, July 2006
- Carpentier, Alicia V.; Michinel, Humberto; Rodas-Verde, María I.
- Physical Review A, Vol. 74, Issue 1
Dynamical trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment
journal, November 2006
- Theocharis, G.; Schmelcher, P.; Kevrekidis, P. G.
- Physical Review A, Vol. 74, Issue 5
Transmission of matter-wave solitons through nonlinear traps and barriers
journal, July 2006
- Garnier, Josselin; Abdullaev, Fatkhulla Kh.
- Physical Review A, Vol. 74, Issue 1
Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
journal, August 2007
- Niarchou, P.; Theocharis, G.; Kevrekidis, P. G.
- Physical Review A, Vol. 76, Issue 2
Ground-state properties of a Bose-Einstein condensate tuned by a far-off-resonant optical field
journal, December 2006
- Dong, Guangjiong; Hu, Bambi; Lu, Weiping
- Physical Review A, Vol. 74, Issue 6
Solitons in combined linear and nonlinear lattice potentials
journal, January 2010
- Sakaguchi, Hidetsugu; Malomed, Boris A.
- Physical Review A, Vol. 81, Issue 1
Collisional-inhomogeneity-induced generation of matter-wave dark solitons
journal, August 2010
- Wang, C.; Kevrekidis, P. G.; Horikis, T. P.
- Physics Letters A, Vol. 374, Issue 37
Vortex dynamics in cubic-quintic Bose-Einstein condensates
journal, July 2013
- Mithun, T.; Porsezian, K.; Dey, Bishwajyoti
- Physical Review E, Vol. 88, Issue 1
Nonlinear quantum piston for the controlled generation of vortex rings and soliton trains
journal, May 2013
- Pinsker, Florian; Berloff, Natalia G.; Pérez-García, Víctor M.
- Physical Review A, Vol. 87, Issue 5
Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
journal, February 2014
- Balaž, Antun; Paun, Remus; Nicolin, Alexandru I.
- Physical Review A, Vol. 89, Issue 2
Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate
journal, November 2014
- Kaneda, Tomoya; Saito, Hiroki
- Physical Review A, Vol. 90, Issue 5
Solitons in nonlinear lattices
journal, April 2011
- Kartashov, Yaroslav V.; Malomed, Boris A.; Torner, Lluis
- Reviews of Modern Physics, Vol. 83, Issue 1
Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface
journal, February 1989
- Aceves, A. B.; Moloney, J. V.; Newell, A. C.
- Physical Review A, Vol. 39, Issue 4
Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions
journal, February 1989
- Aceves, A. B.; Moloney, J. V.; Newell, A. C.
- Physical Review A, Vol. 39, Issue 4
Light-beam propagation at planar thin-film nonlinear waveguides
journal, December 1993
- Kivshar, Yuri S.; Quiroga-Teixeiro, Manuel L.
- Physical Review A, Vol. 48, Issue 6
Modulational instability in a nonlinear optical fiber induced by a spatial inhomogeneity
journal, February 1993
- Malomed, Boris A.
- Physica Scripta, Vol. 47, Issue 2
Formation of a soliton in an inhomogeneous nonlinear wave guide
journal, June 1993
- Malomed, Boris A.
- Physica Scripta, Vol. 47, Issue 6
Power-Dependent Reflection, Transmission, and Trapping Dynamics of Lattice Solitons at Interfaces
journal, April 2009
- Kominis, Y.; Hizanidis, K.
- Physical Review Letters, Vol. 102, Issue 13
Observation of Low-Field Feshbach Resonances in Collisions of Cesium Atoms
journal, February 1999
- Vuletić, Vladan; Kerman, Andrew J.; Chin, Cheng
- Physical Review Letters, Vol. 82, Issue 7
Solitary matter waves in combined linear and nonlinear potentials: Detection, stability, and dynamics
journal, September 2013
- Holmes, Scott; Porter, Mason A.; Krüger, Peter
- Physical Review A, Vol. 88, Issue 3
Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates
journal, April 2002
- Salasnich, L.; Parola, A.; Reatto, L.
- Physical Review A, Vol. 65, Issue 4
Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation
journal, June 2007
- Mateo, A. Muñoz; Delgado, V.
- Physical Review A, Vol. 75, Issue 6
Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
journal, January 2008
- Mateo, A. Muñoz; Delgado, V.
- Physical Review A, Vol. 77, Issue 1
Faraday waves in Bose-Einstein condensates
journal, December 2007
- Nicolin, Alexandru I.; Carretero-González, R.; Kevrekidis, P. G.
- Physical Review A, Vol. 76, Issue 6
Collisions of matter-wave solitons
journal, November 2014
- Nguyen, Jason H. V.; Dyke, Paul; Luo, De
- Nature Physics, Vol. 10, Issue 12
Nonlinear Schrödinger soliton impinging on a potential step
journal, January 1994
- Nogami, Y.; Toyama, F. M.
- Physics Letters A, Vol. 184, Issue 3
Works referencing / citing this record:
Quench dynamics of finite bosonic ensembles in optical lattices with spatially modulated interactions
journal, October 2018
- Plaßmann, T.; Mistakidis, S. I.; Schmelcher, P.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 22
Spatially modulated two- and three-component Rabi-coupled Gross–Pitaevskii systems
journal, August 2019
- Kanna, T.; Annamalar Sheela, A.; Babu Mareeswaran, R.
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 37
Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems
text, January 2019
- Kanna, T.; Sheela, A. Annamalar; Mareeswaran, R. Babu
- arXiv