Generic equilibration dynamics of planar defects in trapped atomic superfluids

Scherpelz, Peter; Padavić, Karmela; Murray, Andy; Glatz, Andreas; Aranson, Igor S.; Levin, K.

doi:10.1103/PhysRevA.91.033621

Title: Generic equilibration dynamics of planar defects in trapped atomic superfluids

Journal Article · Wed Mar 18 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.91.033621· OSTI ID:1360130

Scherpelz, Peter ^[1]; Padavić, Karmela ^[1]; Murray, Andy ^[1]; Glatz, Andreas ^[2]; Aranson, Igor S. ^[3]; Levin, K. ^[1]

Univ. of Chicago, Chicago, IL (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Northern Illinois Univ., DeKalb, IL (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

Here, we investigate equilibration processes shortly after sudden perturbations are applied to ultracold trapped superfluids. We show the similarity of phase imprinting and localized density depletion perturbations, both of which initially are found to produce “phase walls”. These planar defects are associated with a sharp gradient in the phase. Importantly they relax following a quite general sequence. Our studies, based on simulations of the complex time-dependent Ginzburg-Landau equation, address the challenge posed by these experiments: how a superfluid eventually eliminatesa spatially extended planar defect. The processes involved are necessarily more complex than equilibration involving simpler line vortices. An essential mechanism form relaxation involves repeated formation and loss of vortex rings near the trap edge.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1360130

Alternate ID(s):: OSTI ID: 1179955

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 3; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

References (38)

Evidence for an oscillating soliton/vortex ring by density engineering of a Bose–Einstein condensate Shomroni, I.; Lahoud, E.; Levy, S. Nature Physics, Vol. 5, Issue 3 https://doi.org/10.1038/nphys1177	journal	January 2009
Propagation of Sound in a Bose-Einstein Condensate Andrews, M. R.; Kurn, D. M.; Miesner, H. -J. Physical Review Letters, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevLett.79.553	journal	July 1997
Engineering vortex rings and systems for controlled studies of vortex interactions in Bose-Einstein condensates Ruostekoski, Janne; Dutton, Zachary Physical Review A, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevA.72.063626	journal	December 2005
Inelastic collisions of solitary waves in anisotropic Bose–Einstein condensates: sling-shot events and expanding collision bubbles Becker, C.; Sengstock, K.; Schmelcher, P. New Journal of Physics, Vol. 15, Issue 11 https://doi.org/10.1088/1367-2630/15/11/113028	journal	November 2013
Heavy solitons in a fermionic superfluid Yefsah, Tarik; Sommer, Ariel T.; Ku, Mark J. H. Nature, Vol. 499, Issue 7459 https://doi.org/10.1038/nature12338	journal	July 2013
Motion of a Solitonic Vortex in the BEC-BCS Crossover Ku, Mark J. H.; Ji, Wenjie; Mukherjee, Biswaroop Physical Review Letters, Vol. 113, Issue 6 https://doi.org/10.1103/PhysRevLett.113.065301	journal	August 2014
Quantized Superfluid Vortex Rings in the Unitary Fermi Gas Bulgac, Aurel; Forbes, Michael McNeil; Kelley, Michelle M. Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/PhysRevLett.112.025301	journal	January 2014
Phase Imprinting in Equilibrating Fermi Gases: The Transience of Vortex Rings and Other Defects Scherpelz, Peter; Padavić, Karmela; Rançon, Adam Physical Review Letters, Vol. 113, Issue 12 https://doi.org/10.1103/PhysRevLett.113.125301	journal	September 2014
Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone Nature Physics, Vol. 9, Issue 10 https://doi.org/10.1038/nphys2734	journal	September 2013
Observation of Solitonic Vortices in Bose-Einstein Condensates Donadello, Simone; Serafini, Simone; Tylutki, Marek Physical Review Letters, Vol. 113, Issue 6 https://doi.org/10.1103/PhysRevLett.113.065302	journal	August 2014
Soliton dynamics in the collisions of Bose - Einstein condensates: an analogue of the Josephson effect Reinhardt, William P.; Clark, Charles W. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 30, Issue 22 https://doi.org/10.1088/0953-4075/30/22/001	journal	November 1997
Solitary waves in clouds of Bose-Einstein condensed atoms Jackson, A. D.; Kavoulakis, G. M.; Pethick, C. J. Physical Review A, Vol. 58, Issue 3 https://doi.org/10.1103/PhysRevA.58.2417	journal	September 1998
Temporal dark solitons in nonuniform Bose-Einstein condensates Hong, T.; Wang, Y. Z.; Huo, Y. S. Physical Review A, Vol. 58, Issue 4 https://doi.org/10.1103/PhysRevA.58.3128	journal	October 1998
Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates Brazhnyi, V. A.; Konotop, V. V. Physical Review A, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevA.68.043613	journal	October 2003
Observation of Quantum Shock Waves Created with Ultra- Compressed Slow Light Pulses in a Bose-Einstein Condensate Dutton, Z. Science, Vol. 293, Issue 5530 https://doi.org/10.1126/science.1062527	journal	July 2001
Observation of Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates Ginsberg, Naomi S.; Brand, Joachim; Hau, Lene Vestergaard Physical Review Letters, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevLett.94.040403	journal	January 2005
Experimental Observation of Oscillating and Interacting Matter Wave Dark Solitons Weller, A.; Ronzheimer, J. P.; Gross, C. Physical Review Letters, Vol. 101, Issue 13 https://doi.org/10.1103/PhysRevLett.101.130401	journal	September 2008
Dark Solitons in Bose-Einstein Condensates Burger, S.; Bongs, K.; Dettmer, S. Physical Review Letters, Vol. 83, Issue 25 https://doi.org/10.1103/PhysRevLett.83.5198	journal	December 1999
Generating Solitons by Phase Engineering of a Bose-Einstein Condensate Denschlag, J. Science, Vol. 287, Issue 5450 https://doi.org/10.1126/science.287.5450.97	journal	January 2000
Oscillations and interactions of dark and dark–bright solitons in Bose–Einstein condensates Becker, Christoph; Stellmer, Simon; Soltan-Panahi, Parvis Nature Physics, Vol. 4, Issue 6 https://doi.org/10.1038/nphys962	journal	May 2008
Snake instability of dark solitons in fermionic superfluids Cetoli, A.; Brand, J.; Scott, R. G. Physical Review A, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevA.88.043639	journal	October 2013
Dark-soliton dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential Wen, Wen; Zhao, Changqing; Ma, Xiaodong Physical Review A, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevA.88.063621	journal	December 2013
Vortex ring dynamics in trapped Bose-Einstein condensates Reichl, Matthew D.; Mueller, Erich J. Physical Review A, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevA.88.053626	journal	November 2013
Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory Sá de Melo, C. A. R.; Randeria, Mohit; Engelbrecht, Jan R. Physical Review Letters, Vol. 71, Issue 19 https://doi.org/10.1103/PhysRevLett.71.3202	journal	November 1993
Time Variation of the Ginzburg-Landau Order Parameter Abrahams, Elihu; Tsuneto, Toshihiko Physical Review, Vol. 152, Issue 1 https://doi.org/10.1103/PhysRev.152.416	journal	December 1966
The world of the complex Ginzburg-Landau equation Aranson, Igor S.; Kramer, Lorenz Reviews of Modern Physics, Vol. 74, Issue 1 https://doi.org/10.1103/RevModPhys.74.99	journal	February 2002
Numerical studies of the s-wave pseudogap state and related Tc: the “pairing approximation” theory Maly, Jiri; Jankó, Boldizsár; Levin, K. Physica C: Superconductivity, Vol. 321, Issue 1-2 https://doi.org/10.1016/S0921-4534(99)00326-3	journal	August 1999
Motion of quantum vortices on inhomogeneous backgrounds Mason, Peter; Berloff, Natalia G. Physical Review A, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevA.77.032107	journal	March 2008
Solitonic vortices and the fundamental modes of the “snake instability”: Possibility of observation in the gaseous Bose-Einstein condensate Brand, Joachim; Reinhardt, William P. Physical Review A, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevA.65.043612	journal	April 2002
Soliton Creation During a Bose-Einstein Condensation Damski, Bogdan; Zurek, Wojciech H. Physical Review Letters, Vol. 104, Issue 16 https://doi.org/10.1103/PhysRevLett.104.160404	journal	April 2010
Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate Komineas, S.; Papanicolaou, N. Physical Review Letters, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevLett.89.070402	journal	July 2002
Nonlinear waves in a cylindrical Bose-Einstein condensate Komineas, S.; Papanicolaou, N. Physical Review A, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevA.67.023615	journal	February 2003
Propagation of Dark Stripe Beams in Nonlinear Media: Snake Instability and Creation of Optical Vortices Mamaev, A. V.; Saffman, M.; Zozulya, A. A. Physical Review Letters, Vol. 76, Issue 13 https://doi.org/10.1103/PhysRevLett.76.2262	journal	March 1996
Propagation of light beams in anisotropic nonlinear media: From symmetry breaking to spatial turbulence Mamaev, A. V.; Saffman, M.; Anderson, D. Z. Physical Review A, Vol. 54, Issue 1 https://doi.org/10.1103/PhysRevA.54.870	journal	July 1996
Observation of vortex solitons created by the instability of dark soliton stripes Tikhonenko, Vladimir; Christou, Jason; Luther-Davies, Barry Optics Letters, Vol. 21, Issue 15 https://doi.org/10.1364/OL.21.001129	journal	January 1996
Dark optical solitons: physics and applications Kivshar, Y. Physics Reports, Vol. 298, Issue 2-3 https://doi.org/10.1016/S0370-1573(97)00073-2	journal	May 1998
Dark-soliton states of Bose-Einstein condensates in anisotropic traps Feder, D. L.; Pindzola, M. S.; Collins, L. A. Physical Review A, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevA.62.053606	journal	October 2000
Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate Anderson, B. P.; Haljan, P. C.; Regal, C. A. Physical Review Letters, Vol. 86, Issue 14 https://doi.org/10.1103/PhysRevLett.86.2926	journal	April 2001

Cited By (1)

Instabilities of the normal state in current-biased narrow superconducting strips Ovchinnikov, Yury N.; Varlamov, Andrey A.; Kimmel, Gregory J. Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014511	journal	January 2020

Similar Records

Generic equilibration dynamics of planar defects in trapped atomic superfluids

Journal Article · Sun Mar 01 00:00:00 EST 2015 · Physical Review A - Atomic, Molecular, and Optical Physics · OSTI ID:1360130

Scherpelz, Peter; Padavić, Karmela; Murray, Andy; +3 more

Phase Imprinting in Equilibrating Fermi Gases: The Transience of Vortex Rings and Other Defects

Journal Article · Mon Sep 01 00:00:00 EDT 2014 · Physical Review Letters · OSTI ID:1360130

Scherpelz, Peter; Padavić, Karmela; Rançon, Adam; +3 more

Stability, orientational effects and temperature dependence of nonunitary vortex structures in superfluid /sup 3/He

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · J. Low Temp. Phys.; (United States) · OSTI ID:1360130

Passvogel, T; Tewordt, L; Schopohl, N

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Generic equilibration dynamics of planar defects in trapped atomic superfluids

Citation Formats

References (38)

Cited By (1)

Similar Records

Related Subjects