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Aksenov, S. V.
Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin // Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст. 125431, DOI 10.1103/PhysRevB.101.125431. - Cited References: 60. - We acknowledge fruitful discussions with V. V. Valkov and V. A. Mitskan. The reported study was funded by the RAS Presidium programs for fundamental research Nos. 12 and 32, Russian Foundation for Basic Research (Projects No. 18-32-00443 and No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project: "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (Grant No. 19-42-240011). S.V.A. and A.O.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, Projects No. MK-1641.2020.2 and No. MK-3594.2018.2. S.V.A. acknowledges the support from the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" (Grant No. 18-46-007). . - ISSN 2469-9950. - ISSN 2469-9969

РУБ Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
Рубрики:
QUANTUM
   POLARIZATION
   TRANSITION
   FERMIONS
   SPECTRUM
   STATE
Аннотация: In this study, the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To analyze properties of edge states in the BDI-class structure, a quantity called Majorana polarization is used. From its dependence on wire length and an entanglement-spectrum degeneracy, topological phase diagrams are obtained. The DMRG calculations for the Shubin-Vonsovsky-type model of the wire show the transformation of phases with Majorana single and double modes (MSMs and MDMs, respectively) under the increase of onsite and intersite correlations. In particular, we demonstrate different scenarios including the possibilities of both induction and suppression of the MSMs and MDMs. It is shown that in the strongly correlated regime, the contributions of single-particle excitations to the Majorana-type states significantly decrease at low magnetic fxields. Moreover, the t-J*-V model is derived allowing to study the effective interactions and improve the DMRG numerics. It is found out that in the limiting case of the effective Hamiltonian with infinitely strong onsite repulsion, t model, the topological phases are destroyed. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович; RAS Presidium programs for fundamental research [32, 12]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-32-00443, 19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-1641.2020.2, MK-3594.2018.2]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [18-46-007]
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    Arkhipkin, V. G.
    Adiabatic propagation of short pulses under conditions of electromagnetically induced transparency / V. G. Arkhipkin, I. V. Timofeev // Quantum Electron. - 2000. - Vol. 30, Is. 2. - P. 180-184, DOI 10.1070/QE2000v030n02ABEH001683. - Cited References: 31 . - ISSN 1063-7818
   Перевод заглавия: Адиабатическое распространение коротких импульсов в условиях электромагнитно-индуцированной прозрачности

РУБ Engineering, Electrical & Electronic + Physics, Applied
Рубрики:
POPULATION TRANSFER
   LASER-PULSES
   INTERFERENCE
   ENHANCEMENT
   COHERENCE
   QUANTUM
   SYSTEMS
   INDEX
Аннотация: The spatial and temporal dynamics of two short pulses propagating in an optically dense medium of resonant three-level Lambda-atoms is investigated numerically and analytically. The maximum coherence for the Raman transition due to coherent population trapping. it is shown that, at the initial stage of propagation, the waveforms of such pulses only slightly change along the length of the medium, which may considerably exceed the length of linear absorption for a single weak pulse. As the length of the absorbing medium increases, the energy of the probe (first) pulse is completely transferred into the second (control) pulse.

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Публикация на русском языке Архипкин, Василий Григорьевич. Адиабатическое распространение коротких импульсов в условиях электромагнитно-индуцированной прозрачности [Текст] / В. Г. Архипкин, И. В. Тимофеев // Квант. электрон. - 2000. - Т. 30 № 2. - С. 180-184

Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Архипкин, Василий Григорьевич
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    Arkhipkin, V. G.
    Propagation of two short pulses under conditions of electromagnetically induced transparency: adiabatic following / V. G. Arkhipkin, I. V. Timofeev // Saratov fall meeting '99: Laser physics and spectroscopy. Ser. Proceedings of the society of photo-optical instrumentation engineers (SPIE) : SPIE-Int. Soc. Optical Engineering, 2000. - Vol. 4002. - P. 45-51, DOI 10.1117/12.380132. - Cited References: 31 . - ISBN 0277-786X. - ISBN 0-8194-3627-5
Рубрики:
POPULATION TRANSFER
   LASER-PULSES
   QUANTUM
   COHERENCE
   MEDIA
   INDEX
   INTERFERENCE
   ENHANCEMENT
   TRANSITIONS
   REFRACTION
Кл.слова (ненормированные):
electromagnetically-induced transparency -- coherent population trapping -- atomic coherence -- quantum interference -- adiabatic following -- dressed field pulses
Аннотация: Spatio-temporal dynamics of two short laser pulses propagating in an absorbing medium, which consists of one-and two-photon resonant ii-atoms, is investigated in the adiabatic approximation. We give an analytical solution and compare it with numerical simulations. It is shown that pulses may propagate in a medium, whose thickness is considerably greater than the length of the linear absorption of a single weak probe wave. Finally, full transfer of the probe pulse energy into the coupling pulse takes place. A vector model of the adiabatic interaction of two pulses with three-level atom is proposed.

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Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Архипкин, Василий Григорьевич; International Workshop/Fall School Meeting for Young Scientists and Students on Optics, Laser Physics, and Biophysics (Saratov Fall Meeting 99) (1999 ; Oct. ; Saratov)
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Arkhipkin, V. G.
Pulse pair propagation under conditions of induced transparency: adiabatic approximation / V. G. Arkhipkin, I. V. Timofeev ; ed.: SA Gurevich, SA Gurevic ; Laser Optics 2000 Conference (2000 ; Jun ; 26-30 ; St. Petersburg) // Laser optics 2000: semiconductor lasers and optical communication. Ser. proceedings of the society of photo-optical instrumentation engineers (SPIE) : SPIE-Int. Soc. Optical Engineering, 2001. - Vol. 4354. - P. 111-117, DOI 10.1117/12.418816. - Cited References: 18 . - ISBN 0277-786X. - ISBN 0-8194-4044-2

РУБ Optics
Рубрики:
ELECTROMAGNETICALLY INDUCED TRANSPARENCY
   COHERENT POPULATION TRANSFER
   LASER-PULSES
   MULTILEVEL SYSTEMS
   QUANTUM
Кл.слова (ненормированные):
adiabatic population transfer -- coherent population trapping -- electromagnetically induced transparency -- counterintuitive pulse sequence
Аннотация: The features of spatial and temporal evolution of two short laser pulses propagating in three-level medium under conditions of coherent population trapping and adiabatic population transfer is investigated in adiabatic approximation. It is shown that in both cases pulses can penetrate into a medium at a distance considerably exceeding the length of linear absorption of a single weak probe pulse in absence of a coupling pulse at adjacent transition. The difference of spatial and temporal evolution of level populations in processes of coherent population trapping and adiabatic population transfer is demonstrated. Also we show that the concept of dressed-field pulses is consequence of Manley-Raw relation.

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Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Gurevich, S. A. \ed.\; Архипкин, Василий Григорьевич; Laser Optics, International Conference (2000 ; June ; 26-30 ; St. Petersburg)
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Arkhipkin, V. G.
Pulse pair propagation under conditions of induced transparency / V. G. Arkhipkin, I. V. Timofeev ; ed. kin, VG Arkh // Optical pulse and beam propagation II. Ser. Proceedings of the society of photo-optical instrumentation engineers (SPIE) : SPIE-Int. Soc. Optical Engineering, 2000. - Vol. 3927. - P. 368-375, DOI 10.1117/12.382069. - Cited References: 19 . - ISBN 0277-786X. - ISBN 0-8194-3544-9

РУБ Optics
Рубрики:
ELECTROMAGNETICALLY INDUCED TRANSPARENCY
   ADIABATIC POPULATION TRANSFER
   LASER-PULSES
   MULTILEVEL SYSTEMS
   QUANTUM
Кл.слова (ненормированные):
adiabatic population transfer -- coherent population trapping electromagnetically induced transparency -- counterintuitive pulse sequence
Аннотация: The spatial and temporal dynamics of tno short laser pulses propagating in absorbing three-level medium under conditions of induced transparency is investigated in adiabatic approximation. We analyse two cases of electromagnetically induced transparency creating - coherent population trapping and adiabatic population transfer. It is shown that in both cases the probe pulse can penetrate into a medium at a distance considerably exceeding the length of linear absorption of a single weak probe pulse in absence of a coupling pulse at adjacent transition. The difference of spatial and temporal evolution of level populations in processes of coherent population trapping and adiabatic population transfer is although demonstrated.

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Доп.точки доступа:
Timofeev, I. V.; Тимофеев, Иван Владимирович; Архипкин, Василий Григорьевич; Conference on Optical Pulse and Beam Propagation II (2000 ; Jan. ; 25-27 ; San Jose, CA)
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Berggren, K. F.
Crossover from regular to irregular behavior in current flow through open billiards / K. F. Berggren, A. F. Sadreev, A. A. Starikov // Phys. Rev. E. - 2002. - Vol. 66, Is. 1. - Ст. 16218, DOI 10.1103/PhysRevE.66.016218. - Cited References: 36 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   NODAL POINTS
   WAVE-FIELDS
   QUANTUM
   STREAMLINES
   CONDUCTANCE
   VORTICES
   CHAOS
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Mathematical models -- Networks (circuits) -- Random processes -- Resonance -- Signal processing -- Spurious signal noise -- Bursting time series -- Coherence resonance -- Power spectrum -- Stochastic resonance -- Chaos theory
Аннотация: We discuss signatures of quantum chaos in terms of distributions of nodal points, saddle points, and streamlines for coherent electron transport through two-dimensional billiards, which are either nominally integrable or chaotic. As typical examples of the two cases we select rectangular and Sinai billiards. We have numerically evaluted distribution functions for nearest distances between nodal points and found that there is a generic form for open chaotic billiards through which a net current is passed. We have also evaluated the distribution functions for nodal points with specific vorticity (winding number) as well as for saddle points. The distributions may be used as signatures of quantum chaos in open systems. All distributions are well reproduced using random complex linear combinations of nearly monochromatic states in nominally closed billiards. In the case of rectangular billiards with simple sharp-cornered leads the distributions have characteristic features related to order among the nodal points. A flaring or rounding of the contact regions may, however, induce a crossover to nodal point distributions and current flow typical for quantum chaos. For an irregular arrangement of nodal points, as for example in the Sinai billiard, the quantum flow lines become very complex and volatile, recalling chaos among classical trajectories. Similarities with percolation are pointed out.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Dept. of Phys. and Msrmt. Technology, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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Bound states in the continuum in open Aharonov-Bohm rings / E. N. Bulgakov [et al.] // JETP Letters. - 2006. - Vol. 84, Is. 8. - P. 430-435, DOI 10.1134/S0021364006200057. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
WAVE-GUIDE
   QUANTUM
   TRANSMISSION
   SCATTERING
   BILLIARDS
   ELECTRON
Аннотация: Using the formalism of the effective Hamiltonian, we consider bound states in a continuum (BIC). They are nonhermitian effective Hamiltonian eigenstates that have real eigenvalues. It is shown that BICs are orthogonal to open channels of the leads, i.e., disconnected from the continuum. As a result, BICs can be superposed to a transport solution with an arbitrary coefficient and exist in a propagation band. The one-dimensional Aharonov-Bohm rings that are opened by attaching single-channel leads to them allow exact consideration of BICs. BICs occur at discrete values of the energy and magnetic flux; however, it's realization strongly depends on the way to the BIC point.

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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Rotter, I.
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Bulgakov, E. N.
Spin polarized bound states in the continuum in open Aharonov-Bohm rings with the Rashba spin-orbit interaction / E. N. Bulgakov, A. F. Sadreev // J. Phys.: Condens. Matter. - 2016. - Vol. 28, Is. 26. - Ст. 265301, DOI 10.1088/0953-8984/28/26/265301. - Cited References:59. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D N Maksimov and K N Pichugin. . - ISSN 0953-8984. - ISSN 1361-648X

РУБ Physics, Condensed Matter
Рубрики:
Degenerate states
   Nuclear reactions
   Unified theory
   Quantum
   Transport
   Dynamics
   Decay
Кл.слова (ненормированные):
Aharonov-Bohm ring -- Rashba spin-orbit interaction -- bound states in the continuum
Аннотация: We consider the trapping of electrons with a definite spin polarization by bound states in the continuum (BSC) in the open Aharonov-Bohm rings in the presence of the Rashba spin-orbit interaction (RSOI). Neglecting the Zeeman term we show the existence of BSCs in the one-dimensional ring when the eigenstates of the closed ring are doubly degenerate. With account of the Zeeman term BSCs occur only at the points of threefold degeneracy. The BSCs are found in the parametric space of flux and RSOI strength in close pairs with opposite spin polarization. Thereby the spin polarization of electrons transmitted through the ring can be altered by minor variation of magnetic or electric field at the vicinity of these pairs. Numerical simulations of the two-dimensional open ring show similar results for the BSCs. Encircling the BSC points in the parametric space of the flux and the RSOI constant gives rise to a geometric phase.

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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
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Gluck, M.
Fractal stabilization of Wannier-Stark resonances / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Europhys. Lett. - 2000. - Vol. 51, Is. 3. - P. 255-260, DOI 10.1209/epl/i2000-00345-2. - Cited References: 17 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH PARTICLE
   FIELDS
   STATISTICS
   QUANTUM
   SYSTEMS
   AC
   DC
   ELECTRONS
Аннотация: The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to have a fractal structure as a function of the so-called electric matching ratio, which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal nature of the spectrum in the system "atom in a standing laser wave", which is a quantum-optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) also develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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10.

Gluck, M.
Lifetime statistics for a Bloch particle in ac and dc fields / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rev. E. - 1999. - Vol. 60, Is. 1. - P. 247-258, DOI 10.1103/PhysRevE.60.247. - Cited References: 27 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
DYNAMIC LOCALIZATION
   QUANTUM
   TRANSITION
   SCATTERING
   MATRICES
   SYSTEMS
   LADDER
   STATES
   ATOMS
   LIGHT
Аннотация: We study the statistics of the Wigner delay time and resonance width for a Bloch particle in ac and de fields in the regime of quantum chaos. It is shown that after appropriate rescaling the distributions of these quantities have a universal character predicted by the random matrix theory of chaotic scattering. [s1063-651X(99)09907-9].

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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