Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Solvability, chaos and control in quantum systems

2011/02/A/ST1/00208

Keywords:

quantum systems nonitegrability control chaos

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_17: Applied mathematics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Centrum Fizyki Teoretycznej PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Marek Kuś 

Number of co-investigators in the project: 11

Call: MAESTRO 1 - announced on 2011-06-15

Amount awarded: 2 363 400 PLN

Project start date (Y-m-d): 2012-04-27

Project end date (Y-m-d): 2016-09-27

Project duration:: 53 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Dysk przenośny z gwarancją.
  2. Komputery typu Notebook (20 000 PLN)
  3. Licencje programu Mathematica (12 000 PLN)
  4. Dukarki (4 000 PLN)
  5. Licencja programu Matlab.
  6. Licencje programu Maple (12 000 PLN)
  7. Przedłużenie licencji programu Matlab (600 PLN)
  8. przedłużenie liecencji programu Maple (2 337 PLN)
  9. Licencje programu Magma (10 000 PLN)
  10. Przedłużenie licencji programu Mathematica (3 013 PLN)
  11. monitor.

Information in the final report

  • Publication in academic press/journals (39)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (2)
  1. Comment on "Solvability of the two-photon Rabi Hamiltonian'"
    Authors:
    A. J. Maciejewski , M. Przybylska, T. Stachowiak
    Academic press:
    Physical Review A (rok: 2015, tom: 91, strony: 037801 (2 strony)), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.91.037801 - link to the publication
  2. Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators
    Authors:
    A. Jamiołkowski, G. Pastuszak
    Academic press:
    Linear and Multilinear Algebra (rok: 2015, tom: 63, strony: 314-325), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03081087.2013.865734 - link to the publication
  3. On Applications of PI-algebras in the Analysis of Quantum Channels
    Authors:
    A. Jamiołkowski
    Academic press:
    International Journal of Quantum Information (rok: 2012, tom: 10, strony: 1241007 (13 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219749912410079 - link to the publication
  4. Non-integrability of the optimal control problem for n-level quantum systems
    Authors:
    Guillaume Duval, Andrzej J. Maciejewski, Witold Respondek
    Academic press:
    Journal of Physics A (rok: 2016, ), Wydawca: IOP Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. On ascending chains of ideals in the polynomial ring
    Authors:
    Grzegorz Pastuszak
    Academic press:
    Communications in Algebra (rok: 2016, ), Wydawca: Taylor & Francis
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Common reducing unitary subspaces and decoherence in quantum systems
    Authors:
    Andrzej Jamiołkowski, Grzegorz Pastuszak
    Academic press:
    Electronic Journal of Linear Algebra (rok: 2015, tom: 30, strony: 253-270), Wydawca: International Linear Algebra Society
    Status:
    Published
    DOI:
    10.3032 - link to the publication
  7. Integrability of potentials of degree k\neq \pm 2. Second order variational equations between Kolchin solvability and Abelianity
    Authors:
    G. Duval, A. J. Maciejewski
    Academic press:
    Discrete and Continuous Dynamical Systems - Series A (rok: 2015, tom: 35, strony: 1969-2009), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2015.35.1969 - link to the publication
  8. Separable quantizations of Stäckel system.
    Authors:
    Maciej Błaszak, Krzysztof Marciniak, Ziemowit Domański
    Academic press:
    Annals of Physics (rok: 2016, tom: 371, strony: 460–477), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aop.2016.06.007 - link to the publication
  9. The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions
    Authors:
    Y. N. Fedorov, A. J. Maciejewski, M. Przybylska
    Academic press:
    Journal of Physics A (rok: 2013, tom: 46, strony: 415201 (26 stron)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/46/41/415201 - link to the publication
  10. Wei-Norman equations for classical groups
    Authors:
    S. Charzyński, M. Kuś
    Academic press:
    Journal of Differential Equations (rok: 2015, tom: 259, strony: -), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2015.03.002 - link to the publication
  11. Wei–Norman equations for classical groups via cominuscule induction
    Authors:
    Jan Gutt, Szymon Charzyński, Marek Kuś
    Academic press:
    Differential Geometry and its Applications (rok: 2015, tom: 42, strony: 37–43), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2015.07.00 - link to the publication
  12. A novel approach to the spectral problem in the two photon Rabi model
    Authors:
    Andrzej J. Maciejewski, Tomasz Stachowiak
    Academic press:
    Journal of Physics A (rok: 2016, ), Wydawca: IOP Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Coherence and squeezing along quantum trajectories
    Authors:
    Ziemowit Domański, Maciej Błaszak
    Academic press:
    Mathematical Physics, Analysis and Geometry , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Discrete many-particle quantum walks on lattices as quench dynamics
    Authors:
    Dibwe Pierrot Musumbu, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Open Systems nad Information Dynamics (rok: 2016, ), Wydawca: World Scientific Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. Why are normal sub-Riemannian extremals locally minimizing?
    Authors:
    Michał Jóźwikowski, Witold Respondek
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications , Wydawca: Foundation Compositio Mathematica
    Status:
    Submitted
    DOI:
    brak - link to the publication
  16. A contact covariant approach to optimal control with applications to sub-Riemannian geometry
    Authors:
    Michał Jóźwikowski, Witold Respondek
    Academic press:
    Mathematics of Control, Signal and Systems (rok: 2016, tom: 28, strony: 27 (47 stron)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00498-016-0176-3 - link to the publication
  17. Applications of the Stroboscopic Tomography to Selected 2-level Decoherence Models
    Authors:
    Artur Czerwiński
    Academic press:
    International Journal of Theoretical Physics (rok: 2016, tom: 55, strony: 658-668), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-015-2703-2 - link to the publication
  18. Darboux points and integrability analysis of Hamiltonian systems with homogeneous rational potentials
    Authors:
    M. Studziński, M. Przybylska
    Academic press:
    Physica D (rok: 2013, tom: 249, strony: 45306), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physd.2012.12.012 - link to the publication
  19. Dynamics of a relativistic charge in the Penning trap
    Authors:
    Yuri Yaremko, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Chaos (rok: 2015, tom: 25, strony: 053102 (16 stron)), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4919243 - link to the publication
  20. Full Spectrum of the Rabi Model
    Authors:
    A. Maciejewski, M. Przybylska, T. Stachowiak
    Academic press:
    Physics Letter A (rok: 2014, tom: 378, strony: 16-20), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.032 - link to the publication
  21. Non-existence of the final first integral in the Zipoy-Voorhees space-time
    Authors:
    A. J. Maciejewski , M. Przybylska, T. Stachowiak
    Academic press:
    Physical Review D (rok: 2013, tom: 88, strony: 064003 (7 stron)), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1103/PhysRevD.88.064003 - link to the publication
  22. Non-integrability of flail triple pendulum
    Authors:
    M. Przybylska, W. Szumiński
    Academic press:
    Chaos, Solitons & Fractals (rok: 2013, tom: 53, strony: 60 –74), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.chaos.2013.04.008 - link to the publication
  23. On a Criterion for Simultaneous Block-Diagonalization of Normal Matrices
    Authors:
    Grzegorz Pastuszak, Takeo Kamizawa, Andrzej Jamiołkowski
    Academic press:
    Open Systems and Information Daynamics (rok: 2016, tom: 23, strony: 1650003 (12 stron)), Wydawca: World Scientific Publishing Group
    Status:
    Published
    DOI:
    10.1142/S1230161216500037 - link to the publication
  24. On integrable rational potentials of the Dirac equation
    Authors:
    T. Stachowiak, M. Przybylska
    Academic press:
    Physics Letters A (rok: 2013, tom: 377, strony: 833 – 841), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2013.02.010 - link to the publication
  25. Optimal evolution models for quantum tomography
    Authors:
    Artur Czerwiński
    Academic press:
    Journal of Physics A (rok: 2016, tom: 49, strony: 075301 (13 stron)), Wydawca: Institute of Physcis
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/7/075301 - link to the publication
  26. Wei-Norman equations for a unitary evolution
    Authors:
    S. Charzyński, M. Kuś
    Academic press:
    Journal of Physics A (rok: 2013, tom: 46, strony: 265208 (14 stron)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/46/26/265208 - link to the publication
  27. Dynamic Quantum Tomography Model for Phase-Damping Channels
    Authors:
    Artur Czerwiński, Andrzej Jamiołkowski
    Academic press:
    Open Systems and Information Daynamics (rok: 2016, tom: 23, strony: ), Wydawca: World Scientific Publishing Group
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  28. Probing the eigenstates thermalization hypothesis with many-particle quantum walks on lattices
    Authors:
    Dibwe Pierrot Musumbu, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Journal of Physics A (rok: 2016, ), Wydawca: IOP Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  29. Relativistic quantum mechanics of a spin-1/2 charge in a Penning trap
    Authors:
    Yuriy Yaremko, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Physical Review A (rok: 2016, ), Wydawca: AIP Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  30. The common invariant subspace problem and Tarski's theorem
    Authors:
    Grzegorz Pastuszak
    Academic press:
    Mathematische Nachrichten (rok: 2016, ), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  31. Integrability of Hamiltonian systems with homogeneous potentials of degrees \pm 2. An application of higher order variational equations
    Authors:
    G. Duval, A. J. Maciejewski
    Academic press:
    Discrete and Continuous Dynamical Systems - Series A (rok: 2014, tom: 34, strony: 4589-4615), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2014.34.4589 - link to the publication
  32. Penning trap with an inclined magnetic field
    Authors:
    Yuriy Yaremko, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Chaos (rok: 2016, tom: 26, strony: 83118 (11 stron)), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.4961068 - link to the publication
  33. Quantum chaos in SU3 models with trapped ions
    Authors:
    T. Graß, B. Juliá-Díaz, M. Kuś, M. Lewenstein
    Academic press:
    Physical Review Letters (rok: 2013, tom: 111, strony: 090404 (5 stron)), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.111.090404 - link to the publication
  34. Integrability of the one-dimensional Schroedinger equation.
    Authors:
    Thierry Combot
    Academic press:
    Journal of Mathematical Physics (rok: 2016, ), Wydawca: AIP
    Status:
    Submitted
    DOI:
    brak - link to the publication
  35. An exactly solvable system from quantum optics
    Authors:
    Andrzej .J. Maciejewski, Maria Przybylska, Tomasz Stachowiak
    Academic press:
    Physics Letters A (rok: 2015, tom: 379, strony: 1503–1509), Wydawca: Elesevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2015.03.033 - link to the publication
  36. Analytical method of spectra calculations in the Bargmann representation
    Authors:
    A. J. Maciejewski , M. Przybylska, T. Stachowiak
    Academic press:
    Physics Letters A (rok: 2014, tom: 378, strony: 3445–3451), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.001 - link to the publication
  37. On invariant subspaces in quantum control systems and some concepts of integrable quantum systems
    Authors:
    Andrzej Jamiołkowski, Takeo Kamizawa, Grzegorz Pastuszak
    Academic press:
    International Journal of Theoretical Physics (rok: 2015, tom: 54, strony: 2662-2674), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-014-2498-6 - link to the publication
  38. Thermalization in Many-Particle Quantum Walks
    Authors:
    Dibwe Musumbu, Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Open Systems and Information Daynamics (rok: 2016, tom: 23, strony: 1650002 (19 stron)), Wydawca: World Scientific Publishing Group
    Status:
    Published
    DOI:
    10.1142/S1230161216500025 - link to the publication
  39. Non-integrability of the semiclassical Jaynes-Cummings model without the rotationg wave approximation
    Authors:
    Andrzej J. Maciejewski, Wojciech Szumiński
    Academic press:
    Journal of Physics A (rok: 2016, ), Wydawca: IOP Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. A comparison of vakonomic and nonholonomic dynamics for systems on Lie groups
    Authors:
    Michał Jóźwikowski, Witold Respondek
    Conference:
    5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015 – Lyon, France, 4–7 July 2015 (rok: 2015, ), Wydawca: Elsevier
    Data:
    konferencja 4–7 July 2015
    Status:
    Published
    DOI:
    link to the publication
  1. Constrained N-body problems
    Authors:
    W. Szumiński, M. Przybylska
    Book:
    Applied Non-Linear Dynamical Systems (rok: 2014, tom: -, strony: 305-317), Wydawca: Springer
    Status:
    Published
  2. On Open Quantum Systems and Mathematical Modeling of Quantum Noise
    Authors:
    A. Jamiołkowski
    Book:
    Open Systems, Entanglement and Quantum Optics (rok: 2013, tom: -, strony: 45371), Wydawca: InTech
    Status:
    Published
    DOI:
    link to the publication

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