High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
Abstract
We study normal modes propagating on top of the stable uniform background in arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep optical lattice. Both the on-site mean-field dynamics of the droplets and their displacement due to the repulsive dipole-dipole interactions (DDIs) are taken into account. Dispersion relations for two modes, viz., high-and low-frequency counterparts of optical and acoustic phonon modes in condensed matter, are derived analytically and verified by direct simulations, for both cases of the repulsive and attractive contact interactions. The (counterpart of the) optical-phonon branch does not exist without the DDIs. These results are relevant in the connection to emerging experimental techniques enabling real-time imaging of the condensate dynamics and direct experimental measurement of phonon dispersion relations in BECs. DOI: 10.1103/PhysRevA.87.023623
Source:
Physical Review A, 2013, 87, 2, 023623-Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- German-Israel Foundation [I-1024-2.7/2009]
DOI: 10.1103/PhysRevA.87.023623
ISSN: 1050-2947
WoS: 000315142500023
Scopus: 2-s2.0-84874548199
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Institution/Community
VinčaTY - JOUR AU - Maluckov, Aleksandra AU - Gligorić, Goran AU - Hadžievski, Ljupčo AU - Malomed, Boris A. AU - Pfau, Tilman PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5319 AB - We study normal modes propagating on top of the stable uniform background in arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep optical lattice. Both the on-site mean-field dynamics of the droplets and their displacement due to the repulsive dipole-dipole interactions (DDIs) are taken into account. Dispersion relations for two modes, viz., high-and low-frequency counterparts of optical and acoustic phonon modes in condensed matter, are derived analytically and verified by direct simulations, for both cases of the repulsive and attractive contact interactions. The (counterpart of the) optical-phonon branch does not exist without the DDIs. These results are relevant in the connection to emerging experimental techniques enabling real-time imaging of the condensate dynamics and direct experimental measurement of phonon dispersion relations in BECs. DOI: 10.1103/PhysRevA.87.023623 T2 - Physical Review A T1 - High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices VL - 87 IS - 2 SP - 023623 DO - 10.1103/PhysRevA.87.023623 ER -
@article{ author = "Maluckov, Aleksandra and Gligorić, Goran and Hadžievski, Ljupčo and Malomed, Boris A. and Pfau, Tilman", year = "2013", abstract = "We study normal modes propagating on top of the stable uniform background in arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep optical lattice. Both the on-site mean-field dynamics of the droplets and their displacement due to the repulsive dipole-dipole interactions (DDIs) are taken into account. Dispersion relations for two modes, viz., high-and low-frequency counterparts of optical and acoustic phonon modes in condensed matter, are derived analytically and verified by direct simulations, for both cases of the repulsive and attractive contact interactions. The (counterpart of the) optical-phonon branch does not exist without the DDIs. These results are relevant in the connection to emerging experimental techniques enabling real-time imaging of the condensate dynamics and direct experimental measurement of phonon dispersion relations in BECs. DOI: 10.1103/PhysRevA.87.023623", journal = "Physical Review A", title = "High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices", volume = "87", number = "2", pages = "023623", doi = "10.1103/PhysRevA.87.023623" }
Maluckov, A., Gligorić, G., Hadžievski, L., Malomed, B. A.,& Pfau, T.. (2013). High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices. in Physical Review A, 87(2), 023623. https://doi.org/10.1103/PhysRevA.87.023623
Maluckov A, Gligorić G, Hadžievski L, Malomed BA, Pfau T. High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices. in Physical Review A. 2013;87(2):023623. doi:10.1103/PhysRevA.87.023623 .
Maluckov, Aleksandra, Gligorić, Goran, Hadžievski, Ljupčo, Malomed, Boris A., Pfau, Tilman, "High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices" in Physical Review A, 87, no. 2 (2013):023623, https://doi.org/10.1103/PhysRevA.87.023623 . .