Nonlinear dynamics of atoms and photons and quantum chaos
Semiclassical theory of Hamiltonian chaos in the interaction of hot Rydberg atoms with a microwave field in a cavity
Semiclassical theory of dissipative chaos in the interaction of cold atoms with a standing-wave laser field: synchonization, bifurcations, strange attractors in the internal and translational degrees of freedom
Quantum chaos in cavity quantum electrodynamics
Atomic dynamical fractals, Levy flights and anomalous transport in optical lattices
Quantum chaos with matter waves of cold atoms in optical lattices
Theoretical principles of quantum computing with cold atoms in an optical lattice
1997
1. L.E. Kon'kov, S.V. Prants. Chaotic Rabi vacuum oscillations in cavity quantum electrodynamics. JETP Letters. V. 65 (1997) 833-838. [Pis'ma ZhETP. V. 65 (1997) 801-806]. DOI 10.1134/1.567433
2. V. P. Karassiov, L. E. Kon'kov, S. V. Prants. Two semiclassical Dicke models: between regularity and chaos. Bulletin of the Lebedev Physics Institute. No 5-6 (1997) 25-32.
1998
1. S.V. Prants, L.E. Kon'kov and E.V. Dmitrieva. Semiclassical chaotic dynamics of cavity polaritons in semiconductor microcavities. Physics Letters A. V. 237 (1998) 283-291. doi:10.1016/S0375-9601(97)00875-X
1999
1. S.V. Prants, L.E. Kon'kov. Parametric instability and Hamiltonian chaos in semiclassical electrodynamics. J. Exp. Theor. Phys. V. 88 (1999) 406-414 [ZhETP. V. 115 (1999) 740-753]. DOI: 10.1134/1.558810
2. S.V. Prants, L.E. Kon'kov, I.L. Kiriluyk. Semiclassical interaction of moving atoms with a field: from integrability to Hamiltonian chaos. Physical Review E. V. 60 (1999) P.335-346. DOI: 10.1103/PhysRevE.60.335
2000
1. S. V. Prants. Intermittency and dynamical chaos. Physical Review E. V. 61 N2 (2000) P.1386-1389. DOI: 10.1103/PhysRevE.61.1386
2. S. V. Prants and L. E. Kon'kov. Homoclinic chaos in vacuum Rabi oscillations. Physical Review E. V.61 N4 (2000) P.3632-3640. DOI: 10.1103/PhysRevE.61.3632
3. S.V. Prants and V.I. Yousoupov. Structural chaos in reversible spontaneous emission from moving atoms. Quantum Electronics. V.30 N7 (2000) 647-652 [Kvantovaya Electronica. V.30. N7 (2000) 647-652]. doi: 10.1070/QE2000v030n07ABEH001783
4. I.L. Kirilyuk and S.V. Prants. A mechanism of arising of Hamiltonian chaos in the basic model of optics. Optics and Spectroscopy. V.89 N6 (2000) 978-983 [Optika i Spektroscopiya. V.89 N6 (2000) 978-983]. DOI 10.1134/1.1335042
2001
1. M.Yu.Uleysky and S. V. Prants. A nonlinear oscillator with two degrees of freedom in a laser field. Journal of Russian Laser Research. V.22 N1 (2001) P.69-81. DOI 10.1023/A:1009503712423
2. S.V. Prants. Structures and chaos in parametric Rabi oscillations. Optics and Spectroscopy. V.90 N5 (2001) 701-706. [Optika i Spektroscopiya. V.90 N5 (2001) 794-799]. DOI 10.1134/1.1374658
3. S.V. Prants and L.E. Kon'kov. Chaotic motion of atom in the coherent field of a standing light wave. JETP Letters. V.73 N4 (2001) 180-183. [Pis'ma ZhETP. V.73 N4 (2001) 200-204]. DOI 10.1134/1.1368710
4. V.I.Ioussoupov, L. E. Kon'kov, S. V. Prants. Structural Hamiltonian chaos in the coherent parametric interaction. Physica D. V.155 N3/4 (2001) P.311-322. DOI: 10.1016/S0167-2789(01)00264-0
5. S.V. Prants and V.Yu. Sirotkin. Effects of the Rabi oscillations on the atomic motion in a standing-wave cavity. Physical Review A. V.64 (2001) art. no. 033412. DOI: 10.1103/PhysRevA.64.033412
2002
1. S.V. Prants. Interaction of nonlinear resonances in cavity quantum electrodynamics. JETP Letters. V.75 N2 2002 63-65 [Pis'ma ZhETP. V.75. Is.2 2002 71-73]. DOI 10.1134/1.1466477
2. S.V. Prants. Chaos, fractals and flights of atoms in cavities. JETP Letters. V.75 N12 2002 651-658 [Pis'ma ZhETP. V.75. Is.12 2002 777-785]. DOI 10.1134/1.1503331
3. S.V. Prants, M. Edelmam and G.M. Zaslavsky. Chaos and flights in the atom-photon interaction in cavity QED. Physical Review E. V.66 (2002) art. no 046222. DOI: 10.1103/PhysRevE.66.046222
2003
1. V.Yu. Argonov, S.V. Prants. Fractals and chaotic scattering of atoms in the field of a stationary standing light wave. J. Exp. Theor. Phys. V.123 N5 (2003) 832-845 [ZhETP. V.123 N5 (2003) 946-961]. DOI: 10.1134/1.1581937
2. S.V. Prants, M.Yu. Uleysky. Atomic fractals in cavity quantum electrodynamics. Physics Letters A. V. 309 N5-6 (2003) P.357-362. doi:10.1016/S0375-9601(03)00208-1
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2004
1. V.Yu. Argonov, S.V. Prants. Synchronization and bifurcations of internal and external degrees of freedom of an atom in a standing light wave. JETP Letters. V.80 N4 (2004) 231-235. [Pis'ma ZhETP. V.80. Is.4 (2004) 260-264]. DOI: 10.1134/1.1813677
2005
1. V.Yu. Argonov and S.V. Prants. Synchronization of internal and external degrees of freedom of atoms in a standing laser wave. Physical Review. A. V.71 (2005) art. N 053408. DOI: 10.1103/PhysRevA.71.053408
2. S.V. Prants and M.Yu. Uleysky. Quantum stability in cavity QED. JETP Letters. V.82 N12 (2005) [Pis'ma ZhETP. V.82. Is.12 (2005) 846-851]. DOI 10.1134/1.2175242
2006
1. S.V. Prants, M.Yu. Uleysky, and V.Yu. Argonov. Entanglement, fidelity, and quantum-classical correlations with an atom moving in a quantized cavity field. Physical Review A. V.73 (2006) art. 023807. DOI: 10.1103/PhysRevA.73.023807
2. V.Yu. Argonov and S.V. Prants. Nonlinear coherent dynamics of an atom in an optical lattice. Journal of Russian Laser Research. V.27 N4 (2006) 360-378 DOI 10.1007/s10946-006-0019-7
2007
1. V.Yu. Argonov and S.V. Prants. Theory of chaotic atomic transport in an optical lattice. Phys. Rev. A. V.75 (2007) art.no. 063428. DOI: 10.1103/PhysRevA.75.063428
2008
1. V.Yu. Argonov and S.V. Prants. Nonlinear control of chaotic walking of atoms in an optical lattice. Europhysics Letters. Vol. 81 (2008) art. no. 24003. doi: 10.1209/0295-5075/81/24003
2. V.Yu. Argonov, S.V. Prants. Manifestation of Hamiltonian chaos in dissipative atomic transport in a standing-wave laser field. JETP Letters. V. 88, is. 10 P. 752-756 (2008) [Pis'ma ZhETP V. 88, Is. 10 P. 752-756 (2008)]. DOI 10.1134/S0021364008220049
3. V.Yu. Argonov and S.V. Prants. Theory of dissipative chaotic atomic transport in an optical lattice. Physical Review A. V.78 (2008) art. no 043413. DOI: 10.1103/PhysRevA.78.043413
2009
1. L.E. Konkov and S.V. Prants. Effects of atomic motion in a standing-wave laser field on the Rabi oscillations. Journal of Russian Laser Research. V.30 N4 (2009) 404-410.
2. S.V. Prants. Proliferation of atomic wave packets at the nodes of a standing light wave. J. Exper. Theor. Phys. V. 109, is. 5. P. 751-761 (2009) [Zh. Eksper. Teor. Fiz. V. 136, is. 5. P. 872-884 (2009)]. DOI: 10.1134/S1063776109110041
2010
1. S.V. Prants. Hamiltonian chaos with a cold atom in an optical lattice. In book: Hamiltonian Chaos beyond the KAM Theory. (Berlin: Springer Verlag and Beijing: Higher Education Press, 2010), 193-223.
2. S. V. Prants and V. O. Vitkovsky. Quantum carpets woven by cold atoms in a laser field. Journal of Russian Laser Research. V. 31 N2 (2010) 201-209. DOI 10.1007/s10946-010-9138-2
3. S.V. Prants. Matter-wave chaos with a cold atom in a standing-wave laser field. Chaos, Solitons & Fractals. (2010), doi:10.1016/j.chaos.2010.05.001
2011
1. S.V Prants. Group-theoretical approach to study atomic motion in a laser field. Journal of Physics A. V. 44 (2011) art.no. 265101.2. S.V. Prants, V.O. Vitkovsky, L.E. Konkov. Geometric optics with atomic beams scattered by a detuned laser standing wave. Journal of Russian Laser Research, V. 32, № 6 (2011) p. 556-563.
3. I.I. Beterova, D.B. Tretyakova, V.M. Entina, E.A. Yakshinaa, I.I. Ryabtseva, P.L. Chapovsky, I. Yudin, A.N. Goncharov, A. V. Taychenachev, and S. V. Prants. Quantum Informatics with Single Atoms. RussianMicroelectronics, 2011, Vol. 40, No. 4, pp. 237-244 [Mikroelektronika, 2011, Vol. 40, No. 4, pp. 256-263].
2012
2015
1. S.V. Prants, L.E. Konkov. Impact of spontaneous emission on the form and dynamics of atomic wave packets in an optical lattice. Journal of Russian Laser Research. V. 36 N3 p.201-210 (2015). DOI 10.1007/s10946-015-9493-0
2. S.V. Prants. Dynamical symmetries, control and chaos with moving atoms in high-quality cavities. Journal of Russian Laser Research. V. 36 N3, p.211-227 (2015). DOI 10.1007/s10946-015-9494-z C.2015.09.004
2016
S.V. Prants. Laser-induced climbing of cold atoms against the gravity. Journal of Russian Laser Research. V.37 N5, p.407-412 (2016).
2. S.V. Prants. Light-Induced Atomic Elevator in Optical Lattices. JETP Letters. V.104, issue 11, p.749-753 (2016) DOI: 10.1134/S0021364016230120 [Pis'ma ZETP. V.104, issue 11, p.769-773 (2016) DOI: 10.7868/S0370274X16230028].
2017
1. S.V. Prants. Quantum-classical correspondence in chaotic dynamics of laser-driven atoms. Physica Scripta. V. 92 044002 2017. Doi: 10.1088/1402-4896/aa5f8f
2. S.V. Prants, L.E. Konkov. On the possibility of observing chaotic walking of cold atoms in rigid optical lattices. Quantum Electronics 47 (5) 446 – 450 (2017).
2019
1. S.V. Prants. Weak chaos with cold atoms in a 2D optical lattice with orthogonal polarizations of laser beams. J. Russ. Laser Res. V.40, N3. 213-220 2019. DOI 10.1007/s10946-019-09792-6
2. S.V. Prants and L.E. Kon'kov. The effect of internal dynamics of cold atoms in 2D optical lattices with interfering laser beams. J. Russ. Laser Res. V.40, N4. 348-355 2019. DOI 10.1007/s10946-019-09810-7
2020
1. S.V. Prants. Chaotic walking of cold atoms in a 2D optical lattice. J. Exper. Theor. Phys. Vol. Vol. 131, No. 3, pp. 410–417. (2020) DOI: 10.1134/S106377612008004X
2. S.V. Prants and L.E. Kon'kov. Patterns with cold atoms in a square optical lattice. J. Russ. Laser Res. V.41, N.3 - P.300-309. 2020. DOI 10.1007/s10946-020-09879-5
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