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Jason, Peter
Publikasjoner (10 av 15) Visa alla publikasjoner
Jason, P. & Johansson, M. (2016). Discrete breathers for a discrete nonlinear Schrodinger ring coupled to a central site. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 93(1), 012219
Åpne denne publikasjonen i ny fane eller vindu >>Discrete breathers for a discrete nonlinear Schrodinger ring coupled to a central site
2016 (engelsk)Inngår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 93, nr 1, s. 012219-Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We examine the existence and properties of certain discrete breathers for a discrete nonlinear Schrodinger model where all but one site are placed in a ring and coupled to the additional central site. The discrete breathers we focus on are stationary solutions mainly localized on one or a few of the ring sites and possibly also the central site. By numerical methods, we trace out and study the continuous families the discrete breathers belong to. Our main result is the discovery of a split bifurcation at a critical value of the coupling between neighboring ring sites. Below this critical value, families form closed loops in a certain parameter space, implying that discrete breathers with and without central-site occupation belong to the same family. Above the split bifurcation the families split up into several separate ones, which bifurcate with solutions with constant ring amplitudes. For symmetry reasons, the families have different properties below the split bifurcation for even and odd numbers of sites. It is also determined under which conditions the discrete breathers are linearly stable. The dynamics of some simpler initial conditions that approximate the discrete breathers are also studied and the parameter regimes where the dynamics remain localized close to the initially excited ring site are related to the linear stability of the exact discrete breathers.

sted, utgiver, år, opplag, sider
AMER PHYSICAL SOC, 2016
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-125683 (URN)10.1103/PhysRevE.93.012219 (DOI)000369333600003 ()26871085 (PubMedID)
Tilgjengelig fra: 2016-03-01 Laget: 2016-02-29 Sist oppdatert: 2017-11-30
Jason, P. (2016). Theoretical studies of Bose-Hubbard and discrete nonlinear Schrödinger models: Localization, vortices, and quantum-classical correspondence. (Doctoral dissertation). Linköping: Linköping University Electronic Press
Åpne denne publikasjonen i ny fane eller vindu >>Theoretical studies of Bose-Hubbard and discrete nonlinear Schrödinger models: Localization, vortices, and quantum-classical correspondence
2016 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
Abstract [en]

This thesis is mainly concerned with theoretical studies of two types of models:  quantum mechanical Bose-Hubbard models and (semi-)classical discrete nonlinear Schrödinger (DNLS) models.

Bose-Hubbard models have in the last few decades been widely used to describe Bose-Einstein condensates placed in periodic optical potentials, a hot research topic with promising future applications within quantum computations and quantum simulations. The Bose-Hubbard model, in its simplest form, describes the competition between tunneling of particles between neighboring potential wells (`sites') and their on-site interactions (can be either repulsive or attractive). We will also consider extensions of the basic models, with additional interactions and tunneling processes.

While Bose-Hubbard models describe the behavior of a collection of particles in a lattice, the DNLS description is in terms of a classical field on each site. DNLS models can also be applicable for Bose-Einstein condensates in periodic potentials, but in the limit of many bosons per site, where quantum fluctuations are negligible and a description in terms of average values is valid. The particle interactions of the Bose-Hubbard models become  nonlinearities in the DNLS models, so that the DNLS model, in its simplest form, describes a competition between on-site nonlinearity and tunneling to neighboring sites. DNLS models are however also applicable for several other physical systems, most notably for nonlinear waveguide arrays, another rapidly evolving research field.

The research presented in this thesis can be roughly divided into two parts:

1) We have studied certain families of solutions to the DNLS model.

First, we have considered charge flipping vortices in DNLS trimers and hexamers. Vortices represent a rotational flow of energy, and a charge flipping vortex is one where the rotational direction (repeatedly) changes. We have found that charge flipping vortices indeed exist in these systems, and that they belong to continuous families of solutions located between two stationary solutions.

Second, we have studied discrete breathers, which are spatially localized and time-periodic solutions, in a DNLS models with the geometry of a ring coupled to an additional, central site. We found under which parameter values these solutions exist, and also studied the properties of their continuous solution families. We found that these families undergo different bifurcations, and that, for example, the discrete breathers which have a peak on one and two (neighboring) sites, respectively, belong to the same family below a critical value of the ring-to-central-site coupling, but to separate families for values above it.

2) Since Bose-Hubbard models can be approximated with DNLS models in the limit of a large number of bosons per site, we studied signatures of certain classical solutions and structures of DNLS models in the corresponding Bose-Hubbard models.

These studies have partly focused on quantum lattice compactons. The corresponding classical lattice compactons are solutions to an extended DNLS model, and consist of a cluster of excited sites, with the rest of the sites exactly zero (generally localized solutions have nonzero `tails'). We find that only one-site classical lattice compactons remain compact for the Bose-Hubbard model, while for several-site classical compactons there are nonzero probabilities to find particles spread out over more sites in the quantum model. We have furthermore studied the dynamics, with emphasize on mobility, of quantum states that correspond to the classical lattice compactons. The main result is that it indeed is possible to see signatures of the  classical compactons' good mobility, but that it is then necessary to give the quantum state a `hard kick' (corresponding to a large phase gradient). Otherwise, the time scales for quantum fluctuations and for the compacton to travel one site become of the same order.

We have also studied the quantum signatures of a certain type of instability (oscillatory) which a specific solution to the DNLS trimer experiences in a parameter regime. We have been able to identify signatures in the quantum energy spectrum, where in the unstable parameter regime the relevant eigenstates undergo many avoided crossings, giving a strong mixing between the eigenstates. We also introduced several measures, which either drop or increase significantly in the regime of instability.

Finally, we have studied quantum signatures of the charge flipping vortices mentioned above, and found several such, for example when considering the correlation of currents between different sites.

sted, utgiver, år, opplag, sider
Linköping: Linköping University Electronic Press, 2016
Serie
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1775
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-129564 (URN)10.3384/diss.diva-129564 (DOI)978-91-7685-735-9 (ISBN)
Disputas
2016-09-02, Hörsal Planck, Fysikhuset, Campus Valla, Linköping, 10:15 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2016-08-22 Laget: 2016-06-21 Sist oppdatert: 2016-08-22bibliografisk kontrollert
Johansson, M. & Jason, P. (2015). Breather mobility and the Peierls-Nabarro potential: brief review and recent progress. In: Juan F. R. Archilla, Noé Jiménez, Victor J. Sánchez-Morcillo, Luis M. García-Raffi (Ed.), Quodons in Mica: nonlinear localized travelling excitations in crystals (pp. 147-178). Cham: Springer
Åpne denne publikasjonen i ny fane eller vindu >>Breather mobility and the Peierls-Nabarro potential: brief review and recent progress
2015 (engelsk)Inngår i: Quodons in Mica: nonlinear localized travelling excitations in crystals / [ed] Juan F. R. Archilla, Noé Jiménez, Victor J. Sánchez-Morcillo, Luis M. García-Raffi, Cham: Springer, 2015, s. 147-178Kapittel i bok, del av antologi (Fagfellevurdert)
Abstract [en]

The question whether a nonlinear localized mode (discrete soliton/breather) can be mobile in a lattice has a standard interpretation in terms of the Peierls-Nabarro (PN) potential barrier. For the most commonly studied cases, the PN barrier for strongly localized solutions becomes large, rendering these essentially immobile. Several ways to improve the mobility by reducing the PN-barrier have been proposed during the last decade, and the first part gives a brief review of such scenarios in 1D and 2D. We then proceed to discuss two recently discovered novel mobility scenarios. The first example is the 2D Kagome lattice, where the existence of a highly degenerate, flat linear band allows for a very small PN-barrier and mobility of highly localized modes in a small-power regime. The second example is a 1D waveguide array in an active medium with intrinsic (saturable) gain and damping, where exponentially localized, travelling discrete dissipative solitons may exist as stable attractors. Finally, using the framework of an extended Bose-Hubbard model, we show that while quantum fluctuations destroy the mobility of slowly moving, strongly localized classical modes, coherent mobility of rapidly moving states survives even in a strongly quantum regime

sted, utgiver, år, opplag, sider
Cham: Springer, 2015
Serie
Springer Series in Materials Science, ISSN 0933-033X ; 221
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-123926 (URN)10.1007/978-3-319-21045-2_6 (DOI)000380538300006 ()9783319210445 (ISBN)9783319210452 (ISBN)
Eksternt samarbeid:
Forskningsfinansiär
Swedish Research Council
Tilgjengelig fra: 2016-01-13 Laget: 2016-01-13 Sist oppdatert: 2016-08-26bibliografisk kontrollert
Jason, P. & Johansson, M. (2015). Charge Flipping Vortices in DNLS trimer and hexamer. In: Suzana Petrović , Goran Gligorić and Milutin Stepić (Ed.), PHOTONICA 2015. V International School and Conference on Photonics& COST actions: MP1204 and BM1205 & the Second international workshop "Control of light and matter waves propagation and localization in photonic lattices“, Belgrad 2015: Book of Abstracts. Paper presented at 5th International School and Conference on Photonics - PHOTONICA2015, Belgrade, Serbia, August 24 - 28, 2015 (pp. 65-65). Belgrade, Serbia: Vinča Institute of Nuclear Sciences
Åpne denne publikasjonen i ny fane eller vindu >>Charge Flipping Vortices in DNLS trimer and hexamer
2015 (engelsk)Inngår i: PHOTONICA 2015. V International School and Conference on Photonics& COST actions: MP1204 and BM1205 & the Second international workshop "Control of light and matter waves propagation and localization in photonic lattices“, Belgrad 2015: Book of Abstracts / [ed] Suzana Petrović , Goran Gligorić and Milutin Stepić, Belgrade, Serbia: Vinča Institute of Nuclear Sciences , 2015, s. 65-65Konferansepaper, Poster (with or without abstract) (Annet vitenskapelig)
Abstract [en]

We examine the existence and properties of Charge Flipping Vortices (CFVs), rtices which periodically flip the topological charge, in three-site (trimer) and six-site (hexamer) discrete nonlinear Schrödinger (DNLS) lattices. We demonstrate numerically that CFVs exist as exact quasiperiodic solutions in continuous families which connect two different stationary solutions without topological charge, and that it is possible to interpret the dynamics of certain CFVs as the result of perturbations of these stationary solutions. The CFVs are calculated with high numerical accuracy and we may therefore accurately determine many of their properties, such as their energy and linear stability, and the CFVs are found to be stable over large parameter regimes.

We also show that, like in earlier studies for lattices with a multiple of four sites, trimer and hexamer CFVs can be obtained by perturbing stationary constant amplitude vortices with certain linear eigenmodes. However, in contrast to the former case where the perturbation could be infinitesimal, the magnitude of the perturbations for trimers and hexamers must overcome a quite large threshold value. These CFVs may be interpreted as exact quasiperiodic CFVs, with a small perturbation applied to. The concept of a charge flipping energy barrier is introduced and discussed.

REFERENCES

[1]P. Jason, M. Johansson, Phys. Rev. E. 91, 022910 (2015).

sted, utgiver, år, opplag, sider
Belgrade, Serbia: Vinča Institute of Nuclear Sciences, 2015
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-123929 (URN)978-86-7306-131-3 (ISBN)
Konferanse
5th International School and Conference on Photonics - PHOTONICA2015, Belgrade, Serbia, August 24 - 28, 2015
Tilgjengelig fra: 2016-01-13 Laget: 2016-01-13 Sist oppdatert: 2016-06-21bibliografisk kontrollert
Jason, P. & Johansson, M. (2015). Charge flipping vortices in the discrete nonlinear Schrodinger trimer and hexamer. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 91(2), 022910
Åpne denne publikasjonen i ny fane eller vindu >>Charge flipping vortices in the discrete nonlinear Schrodinger trimer and hexamer
2015 (engelsk)Inngår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 91, nr 2, s. 022910-Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We examine the existence and properties of charge flipping vortices (CFVs), vortices which periodically flip the topological charge, in three-site (trimer) and six-site (hexamer) discrete nonlinear Schrodinger lattices. We demonstrate numerically that CFVs exist as exact quasiperiodic solutions in continuous families which connect two different stationary solutions without topological charge, and that it is possible to interpret the dynamics of certain CFVs as the result of perturbations of these stationary solutions. The CFVs are calculated with high numerical accuracy and we may therefore accurately determine many of their properties, such as their energy and linear stability, and the CFVs are found to be stable over large parameter regimes. We also show that, like in earlier studies for lattices with a multiple of four sites, trimer and hexamer CFVs can be obtained by perturbing stationary constant amplitude vortices with certain linear eigenmodes. However, in contrast to the former case where the perturbation could be infinitesimal, the magnitude of the perturbations for trimers and hexamers must overcome a quite large threshold value. These CFVs may be interpreted as exact quasiperiodic CFVs, with a small perturbation applied. The concept of a charge flipping energy barrier is introduced and discussed.

sted, utgiver, år, opplag, sider
American Physical Society, 2015
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-117256 (URN)10.1103/PhysRevE.91.022910 (DOI)000351205700005 ()
Merknad

Funding Agencies|Swedish Research Council

Tilgjengelig fra: 2015-04-22 Laget: 2015-04-21 Sist oppdatert: 2017-12-04
Jason, P. (2015). Discrete Breathers for DNLS ring coupled to a central site. In: : . Paper presented at 2nd International workshop on Control of light and matter waves propagation and localization in photonic lattices, Belgrade, Serbia, August 28-29, 2015.
Åpne denne publikasjonen i ny fane eller vindu >>Discrete Breathers for DNLS ring coupled to a central site
2015 (engelsk)Konferansepaper, Oral presentation only (Annet vitenskapelig)
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-123928 (URN)
Konferanse
2nd International workshop on Control of light and matter waves propagation and localization in photonic lattices, Belgrade, Serbia, August 28-29, 2015
Tilgjengelig fra: 2016-01-13 Laget: 2016-01-13 Sist oppdatert: 2016-01-20bibliografisk kontrollert
Jason, P. (2014). Comparisons between classical and quantum mechanical nonlinear lattice models. (Licentiate dissertation). Linköping: Linköping University Electronic Press
Åpne denne publikasjonen i ny fane eller vindu >>Comparisons between classical and quantum mechanical nonlinear lattice models
2014 (engelsk)Licentiatavhandling, med artikler (Annet vitenskapelig)
Abstract [en]

In the mid-1920s, the great Albert Einstein proposed that at extremely low temperatures, a gas of bosonic particles will enter a new phase where a large fraction of them occupy the same quantum state. This state would bring many of the peculiar features of quantum mechanics, previously reserved for small samples consisting only of a few atoms or molecules, up to a macroscopic scale. This is what we today call a Bose-Einstein condensate. It would take physicists almost 70 years to realize Einstein's idea, but in 1995 this was finally achieved.

The research on Bose-Einstein condensates has since taken many directions, one of the most exciting being to study their behavior when they are placed in optical lattices generated by laser beams. This has already produced a number of fascinating results, but it has also proven to be an ideal test-ground for predictions from certain nonlinear lattice models.

Because on the other hand, nonlinear science, the study of generic nonlinear phenomena, has in the last half century grown out to a research field in its own right, influencing almost all areas of science and physics. Nonlinear localization is one of these phenomena, where localized structures, such as solitons and discrete breathers, can appear even in translationally invariant systems. Another one is the (in)famous chaos, where deterministic systems can be so sensitive to perturbations that they in practice become completely unpredictable. Related to this is the study of different types of instabilities; what their behavior are and how they arise.

In this thesis we compare classical and quantum mechanical nonlinear lattice models which can be applied to BECs in optical lattices, and also examine how classical nonlinear concepts, such as localization, chaos and instabilities, can be transfered to the quantum world.

sted, utgiver, år, opplag, sider
Linköping: Linköping University Electronic Press, 2014. s. 48
Serie
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1648
Emneord
Discrete Breathers; Bose-Einstein-Condensation; Instabilities; Oscillatory Instabilities; Classical-Quantum correspondence, Bose-Hubbard model; DNLS; discrete nonlinear Schrödinger equation; nonlinear; nonlinear lattice models; compacton
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-105817 (URN)10.3384/lic.diva-105817 (DOI)978-91-7519-375-5 (ISBN)
Presentation
2014-04-24, 13:00 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2014-04-14 Laget: 2014-04-08 Sist oppdatert: 2014-04-14bibliografisk kontrollert
Jason, P. (2014). Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model. In: : . Paper presented at International workshop on Control of light and matter waves propagation and localization in photonic lattices, Linköping, 6-7 August 2014.
Åpne denne publikasjonen i ny fane eller vindu >>Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model
2014 (engelsk)Konferansepaper, Oral presentation only (Annet vitenskapelig)
Abstract [en]

Lattice Compactons, discrete breathers with compact support, were found for a discrete nonlinear Schrödinger (DNLS) equation extended with nearest neighbour intersite nonlinearities [1], a model originally studied with waveguide arrays in mind. These compactons were shown to exhibit very good mobility if the parameters are tuned close to the compactons stability boundary. The DNLS can also be used to model the behaviour of Bose-Einstein condensates in optical lattices, and the remarkable control over the experiments in this field of research has made it possible to study the quantum mechanics of strongly correlated atoms.

We will define the concept of a Quantum Lattice Compacton [2] and discuss the existence and dynamics, with special emphasis on mobility [3], of these in an extended Bose-Hubbard model corresponding to above-mentioned extended DNLS equation in the quantum mechanical limit. The compactons is given 'a kick' by means of a phase-gradient and it is shown that the size of this phase is crucial for the mobility of the compactons. For small phase-gradients, corresponding to a slow coherent motion in the classical model, the time-scales of the quantum tunnelings become of the same order as the time-scale of the translational motion and the classical mobility is destroyed by quantum fluctuations. For large phase-gradients, corresponding to rapid classical motion, the classical and quantum time-scales separate so that a mobile, localized coherent quantum state can be translated many sites in the lattice already for small particle numbers of the order of 10 [3].

Acknowledgements: This project has been financed by the Swedish Research Council.

References

[1] M. Öster, M. Johansson, and A. Eriksson 2003 Phys. Rev. E 67 056606

[2] P. Jason and M. Johansson 2012 Phys. Rev. A 85 011603(R)

[3] P. Jason and M. Johansson 2013 Phys. Rev. A 88 033605

HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-113520 (URN)
Konferanse
International workshop on Control of light and matter waves propagation and localization in photonic lattices, Linköping, 6-7 August 2014
Forskningsfinansiär
Swedish Research Council
Tilgjengelig fra: 2015-01-20 Laget: 2015-01-20 Sist oppdatert: 2015-01-26
Jason, P. & Johansson, M. (2014). Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model. In: : . Paper presented at 9th International Summer School/Conference LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS, Maribor, 22 June - 6 July 2014 (pp. 77).
Åpne denne publikasjonen i ny fane eller vindu >>Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model
2014 (engelsk)Konferansepaper, Oral presentation with published abstract (Fagfellevurdert)
Abstract [en]

Lattice Compactons, discrete breathers with compact support, were found for a discrete nonlinear Schrödinger (DNLS) equation extended with nearest neighbour intersite nonlinearities [1], a model originally studied with waveguide arrays in mind. These compactons were shown to exhibit very good mobility if the parameters are tuned close to the compactons stability boundary. The DNLS can also be used to model the behaviour of Bose-Einstein condensates in optical lattices, and the remarkable control over the experiments in this field of research has made it possible to study the quantum mechanics of strongly correlated atoms.

We will define the concept of a Quantum Lattice Compacton [2] and discuss the existence and dynamics, with special emphasis on mobility [3], of these in an extended Bose-Hubbard model corresponding to above-mentioned extended DNLS equation in the quantum mechanical limit. The compactons is given 'a kick' by means of a phase-gradient and it is shown that the size of this phase is crucial for the mobility of the compactons. For small phase-gradients, corresponding to a slow coherent motion in the classical model, the time-scales of the quantum tunnelings become of the same order as the time-scale of the translational motion and the classical mobility is destroyed by quantum  fluctuations. For large phase-gradients, corresponding to rapid classical motion, the classical and quantum time-scales separate so that a mobile, localized coherent quantum state can be translated many sites in the lattice already for small particle numbers of the order of 10 [3].

Acknowledgements: This project has been financed by the Swedish Research Council.

References

[1] M. Öster, M. Johansson, and A. Eriksson 2003 Phys. Rev. E 67 056606

[2] P. Jason and M. Johansson 2012 Phys. Rev. A 85 011603(R)

[3] P. Jason and M. Johansson 2013 Phys. Rev. A 88 033605

HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-113522 (URN)
Konferanse
9th International Summer School/Conference LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS, Maribor, 22 June - 6 July 2014
Forskningsfinansiär
Swedish Research Council
Tilgjengelig fra: 2015-01-20 Laget: 2015-01-20 Sist oppdatert: 2015-01-26
Jason, P. & Johansson, M. (2013). Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model. In: : . Paper presented at Quodons in Mica 2013, Nonlinear localized travelling excitations in crystals, Altea, Alicante, Spain, September 18-21, 2013, Meeting in honour of Prof. Francis Michael Russell (pp. 21-21).
Åpne denne publikasjonen i ny fane eller vindu >>Existence, dynamics and mobility of Quantum Compactons in an extended Bose-Hubbard model
2013 (engelsk)Konferansepaper, Oral presentation with published abstract (Annet vitenskapelig)
Abstract [en]

Lattice Compactons, discrete breathers with compact support, were found for a discrete nonlinear Schrödinger (DNLS) equation extended with nearest neighbour intersite nonlinearities, a model originally studied with waveguide arrays in mind. These compactons were shown to exhibit very good mobility if the parameters are tuned close to the compactons stability boundary. The DNLS can also be used to model the behaviour of Bose-Einstein condensates in optical lattices, and the remarkable control over the experiments in this field of research has made it possible to study the quantum mechanics of strongly correlated atoms.

We will define the concept of a Quantum Lattice Compacton and discuss the existence and dynamics, with special emphasis on mobility, of these in an extended Bose-Hubbard model corresponding to above-mentioned extended DNLS equation in the quantum mechanical limit.

The compactons is given 'a kick' by means of a phase-gradient and it is shown that the size of this phase is crucial for the mobility of the compactons. For small phase-gradients, corresponding to a slow coherent motion in the classical model, the time-scales of the quantum tunnelings become of the same order as the time-scale of the translational motion and the classical mobility is destroyed by quantum fluctuations. For large phase-gradients, corresponding to rapid classical motion, the classical and quantum time-scales separate so that a mobile, localized coherent quantum state can be translated many sites in the lattice already for small particle numbers of the order of 10.

Emneord
Compacton, extended Bose-Hubbard model, Bose-Einstein condensate
HSV kategori
Identifikatorer
urn:nbn:se:liu:diva-103029 (URN)
Konferanse
Quodons in Mica 2013, Nonlinear localized travelling excitations in crystals, Altea, Alicante, Spain, September 18-21, 2013, Meeting in honour of Prof. Francis Michael Russell
Forskningsfinansiär
Swedish Research Council, 621-2009-3554
Tilgjengelig fra: 2014-01-09 Laget: 2014-01-09 Sist oppdatert: 2015-01-30
Organisasjoner