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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : A quantum cable car for Wannier-Stark ladders
Место публикации : Phys. Lett. A. - 2000. - Vol. 276, Is. 1-4. - P.167-174. - ISSN 0375-9601, DOI 10.1016/S0375-9601(00)00656-3
Примечания : Cited References: 13
Предметные рубрики: DYNAMIC LOCALIZATION
BLOCH PARTICLE
AC FIELDS
DC
STATES
STATISTICS
LIFETIME
Ключевые слова (''Своб.индексиров.''): wannier-stark ladder--induced transitions--induced transitions--wannier-stark ladder--article--energy--oscillation--quantum mechanics--time--transport kinetics
Аннотация: This Letter studies the dynamics of transitions between the levels of a Wannier-Stark ladder induced by a resonant periodic driving. The analysis of the problem is done in terms of resonance quasienergy states, which take into account the metastable character of the Wannier-Stark states. It is shown that the periodic driving creates from a localized Wannier-Stark state an extended Bloch-like state with a spatial length varying in time as similar to t(1/2). Such a state can find applications in the field of atomic optics because it generates a coherent pulsed atomic beam. (C) 2000 Elsevier Science B.V. All rights reserved.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gavrichkov V. A.
Заглавие : A simple metal-insulator criterion for the doped Mott-Hubbard materials
Коллективы : RFBR [13-02-01395, 14-02-00186, Nsh-28862014.2]
Место публикации : Solid State Commun.: PERGAMON-ELSEVIER SCIENCE LTD, 2015. - Vol. 208. - P.11-14. - ISSN 0038, DOI 10.1016/j.ssc.2015.02.014. - ISSN 18792766(eISSN)
Примечания : Cited References:19. - We acknowledge with pleasure discussions with Igor S. Sandalov during the course of this work. This work was supported by RFBR Grant nos. 13-02-01395, 14-02-00186, and Nsh-28862014.2.
Предметные рубрики: COOPER PAIRS
Bi2Sr2CaCu2O8+DELTA
Ключевые слова (''Своб.индексиров.''): doped mott-hubbard materials--metal-insulator transition--first removal--electron states
Аннотация: A simple metal-insulator criterion for doped Mott-Hubbard materials has been derived, Its readings are closely related to the orbital and spin nature of the ground states of the unit cell. The available criterion readings (metal or insulator) in the paramagnetic phase reveal the possibility of the insulator state of doped materials with the forbidden first removal electron states. According to its physical meaning, the result is similar to the Wilson's criterion in itinerant electron systems. The application of the criterion to high-T-c cuprates is discussed. (C) 2015 Elsevier Ltd. All rights reserved.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseyev K. N., Berman G. P.
Заглавие : A strange attractor in stationary coherent states
Место публикации : Phys. Lett. A. - 1985. - Vol. 111, Is. 7. - P.326-328. - ISSN 0375-9601, DOI 10.1016/0375-9601(85)90360-3
Примечания : Cited References: 11
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Deich L. I.
Заглавие : Absorption of light by glasses in the far infrared
Место публикации : Jetp Lett. - 1992. - Vol. 56, Is. 10. - P.492-495. - ISSN 0021-3640
Примечания : Cited References: 9
Предметные рубрики: STATES
Аннотация: An explanation is proposed for the deviation from the Debye shape of the absorption curve of glasses in the far infrared.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pilipchuk A. S., Sadreev A. F.
Заглавие : Accidental bound states in the continuum in an open Sinai billiard
Место публикации : Phys. Lett. A: Elsevier, 2017. - Vol. 381, Is. 7. - P.720-724. - ISSN 03759601 (ISSN), DOI 10.1016/j.physleta.2016.11.022
Примечания : Cited References: 35. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D.N. Maksimov.
Ключевые слова (''Своб.индексиров.''): bound states in the continuum--open chaotic sinai billiard
Аннотация: The fundamental mechanism of the bound states in the continuum is the full destructive interference of two resonances when two eigenlevels of the closed system are crossing. There is, however, a wide class of quantum chaotic systems which display only avoided crossings of eigenlevels. As an example of such a system we consider the Sinai billiard coupled with two semi-infinite waveguides. We show that notwithstanding the absence of degeneracy bound states in the continuum occur due to accidental decoupling of the eigenstates of the billiard from the waveguides. © 2016 Elsevier B.V.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Artyushenko P. V., Tomilin F. N., Kuzubov A. A., Ovchinnikov S. G., Tsikalova P. E., Ovchinnikova T. M., Soukhovolsky V. G.
Заглавие : Action of the atomic and electronic structure of pheromone molecules on the effectiveness of communication in xylophagous insects
Коллективы : RFBR [13-04-00375, 16-04-00132]
Место публикации : J. Struct. Chem.: MAIK Nauka-Interperiodica / Springer, 2016. - Vol. 57, Is. 2. - P.287-293. - ISSN 0022-4766, DOI 10.1134/S0022476616020074. - ISSN 1573-8779(eISSN)
Примечания : Cited References:27. - This work was supported by RFBR projects Nos. 13-04-00375 and16-04-00132.
Предметные рубрики: Monochamus-galloprovincialis coleoptera
Density-functional theories
Beetle Ips-typographus
Pine sawyer beetle
Aggregation pheromone
Cerambycidae
Attraction
Components
Attack
Set
Ключевые слова (''Своб.индексиров.''): atomic and electronic structure--functional density methods--absorption--spectra--excited states--xylophages--pheromones
Аннотация: The B3LYD /6-31(p,d) density functional method is applied to pheromones of the forest xylophagous insects Ips typographus L., Monochamus urussovi Fisch., and Monochamus galloprovincialis Oliv. to calculate the absorption spectra and find excited states. The calculated results are used to assess the possible activity of the molecules when they are affected by solar radiation.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Aharanov-Bohm oscillations of conductance in two-dimensional rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 15. - P9662-9673. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.9662
Примечания : Cited References: 56
Предметные рубрики: NORMAL-METAL RINGS
HALF FLUX QUANTA
MESOSCOPIC RING
MAGNETIC-FIELD
CIRCULAR BENDS
EDGE STATES
MAGNETOTRANSPORT
TRANSPORT
WIRES
TRANSITION
Аннотация: Transport properties of mesoscopic rings with applied external magnetic field are considered numerically. Rings have square and circular forms and a finite aspect ratio d/L where L is the ring size and d is the width of ring arms. The type of the Aharonov-Bohm oscillations (ABO's) of the transmission substantially depends on the number of channels participating in the electron transmission. Moreover the aspect ratio and the geometrical form of the ring are important for the ABO's. In square rings with a small aspect ratio (d/L = 1/10) the transmission displays periodic ABO's in the region of applied magnetic field defined by the inequality infinity l(B) = ((h) over bar c/eB)(1/2)greater than or equal to d, while for rings with a large aspect ratio (d/L = 1/3) only the single-channel transmission has quasiperiodical ABO's. For the circular rings with small aspect ratios the quasiperiodic ABO's are observed all over the region of the applied magnetic field while for the rings with moderate aspect ratios only the multichannel transmission displays irregular ABO's. The probability current flow patterns demonstrate fine correspondence between the transmission and the vortex structure of current distributions in the rings. For single-channel transmission, electron currents are laminar. For multichannel transport, current flow patterns display a complicated convection pattern in the form of a vortex lattice. An elementary cell of the vortex lattice consists of a few vortices and antivortices and has a size of similar to d/f, where f is the number of channels of electron transmission in the ring. Application of the flux distorts the vortex lattice enormously, partially destroying it. Correspondingly the Aharonov-Bohm oscillations of the transmission become irregular.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : All-optical light storage in bound states in the continuum and release by demand
Коллективы : Russian Scientific Foundation [14-12-00266]
Место публикации : Opt. Express: Optical Society of America, 2015. - Vol. 23, Is. 17. - P.22520-22531. - ISSN 1094-4087, DOI 10.1364/OE.23.022520
Примечания : Cited References: 45. - This work was supported by Russian Scientific Foundation through Grant 14-12-00266. We acknowledge discussions with D.N. Maksimov
Предметные рубрики: TRAPPED RAINBOW STORAGE
COUPLED-MODE THEORY
CRYSTAL WAVE-GUIDE
SLOW LIGHT
FANO RESONANCE
METAMATERIALS
MICROCAVITY
CAVITIES
Аннотация: In the framework of the temporal coupled mode theory we consider bound states embedded in the continuum (BSC) of photonic crystal waveguide as a capacity for light storage. A symmetry protected BSC occurs in two off-channel microresonators positioned symmetrically relative to the waveguide. We demonstrate that the symmetry protected BSC captures a fraction of a light pulse due to the Kerr effect as the pulse passes by the microresonators. However the amount of captured light is found to be strongly sensitive to the parameters of the gaussian light pulse such as basic frequency, duration and intensity. In contrast to the above case the BSC resulted from a full destructive interference of two eigenmodes of a single microresonator accumulates a fixed amount of light dependent on the material parameters of the microresonator but independent of the light pulse. The BSCs in the Fabry-Perot resonator show similar effects. We also show that the accumulated light can be released by a secondary pulse. These phenomena pave a way for all-optical storage and release of light. (C) 2015 Optical Society of America
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Andreev bound states and the Josephson current through a spin dimeric structur
Коллективы : "Spin Waves", International Simposium, Физико-технический институт им. А.Ф. Иоффе РАН
Место публикации : Spin Waves 2015, Int. Symp.: abstracts. - СПб., 2015. - P.126
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Anharmonic states of the one-dimensional anisotropic Heisenberg model with free boundary conditions
Место публикации : Theor. Math. Phys.: PLENUM PUBL CORP, 1998. - Vol. 117, Is. 3. - P1499-1506. - ISSN 0040-5779, DOI 10.1007/BF02557187
Примечания : Cited References: 6
Предметные рубрики: STRING HYPOTHESIS
Аннотация: States described by anharmonic functions are shown to exist in the one-dimensional anisotropic Heisenberg model with a finite number of spins 1/2 and free boundary conditions. Several such, states are determined.
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G.
Заглавие : Application of synchrotron radiation to the study of magnetic materials
Место публикации : Uspekhi Fiz. Nauk: MEZHDUNARODNAYA KNIGA, 1999. - Vol. 169, Is. 8. - P.869-887. - ISSN 0042-1294
Примечания : Cited References: 93
Предметные рубрики: X-RAY-SCATTERING
RESONANCE EXCHANGE SCATTERING
RARE-EARTH-METALS
CIRCULAR-DICHROISM
VALENCE STATES
CO/PD(111) MULTILAYERS
ABSORPTION-SPECTRA
PHASE-TRANSITIONS
SPIN POLARIZATION
EDGE STRUCTURE
Аннотация: The recent results of the studies of magnetic materials using synchrotron irradiation are reviewed. The influence of magnetic effects on X-ray scattering is studied for linearly and circularly polarized photons, and effects of magnetic circular dichroism on the spectra of X-ray absorption and photoelectron emission are discussed. It is shown that X-ray magnetooptics techniques provide fine details of crystal and magnetic structures and also make it possible to separate the spin and orbital contributions to the total moment; to obtain element- and position-sensitive information on the magnetic properties of the material; to visualize domains and domain walls; and to probe magnetization reversal dynamics. A comparison of magnetic neutron and X-ray methods is given.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Avramov P. V., Kuzubov A. A., Sakai S., Ohtomo M., Entani S., Matsumoto Y., Eleseeva N. S., Pomogaev V. A., Naramoto H.
Заглавие : Atomic structure and physical properties of fused porphyrin nanoclusters
Коллективы : JAEA Research fellowship; Russian Scientific Foundation [14-13-00139]
Место публикации : J. Porphyr. Phthalocyanines: World Scientific Publishing, 2014. - Vol. 18, Is. 7. - P.552-568. - ISSN 1088-4246, DOI 10.1142/S1088424614500291. - ISSN 1099-1409
Примечания : Cited References: 66. - This work was supported by JAEA Research fellowship (P. V. A.). P. V. A. also acknowledges JAEA ASRC and Molecular Spintronics Group for hospitality and fruitful collaboration. This work was supported by the Russian Scientific Foundation, Project No. 14-13-00139. Authors are grateful for Prof. S. G. Ovchinnikov for fruitful discussions.
Предметные рубрики: AUGMENTED-WAVE METHOD
HOLONOMIC QUANTUM COMPUTATION
INITIO MOLECULAR-DYNAMICS
VAPOR ABSORPTION SPECTRA
BORON-NITRIDE NANOTUBES
ELECTRONIC-STRUCTURE
REDOX REACTIONS
EXCITED-STATES
SPIN-STATES
GRAPHENE
Ключевые слова (''Своб.индексиров.''): nanoclusters--fused porphyrins--electronic structure--mechanical properties
Аннотация: The atomic and electronic structures, mechanical properties and potential barriers of formation of a set of meso–meso β–β fused porphyrin/metalloporphyrin nanopages, nanotapes, nanotubes and 2D nanofabrics were studied by GGA LC-DFT technique using cluster and PBC models. The porphyrin pages of the nanoclusters are connected with each other by graphene fragments formed by meso–meso β–β links. Fusion of all the edges of six porphyrin/metalloporphyrin units produces a novel ~ 1 nm sized molecule of cubic symmetry with a hollow cage inside. It was found that all studied nanoclusters are metastable with formation energies 0.36–7.57 kcal/mol per atom. Under applied mechanical stress, the nanoclusters exhibit superelastic and ultrastrong properties with binding graphene fragments being the weakest links for mechanical rupture. Depending on the spin-dependent reaction pathways, the hollow caged nanoclusters exhibit almost zero or low potential energy barriers (1–10 kcal/mol) during the initial stages of self-assembly. All nanoclusters exibit the main features of the electronic structures of the parent porphyrins, in particular the nature of HOMO/LUMO states and the relative energetic positions of the metal d states. The induced curvature of the hollow cage nanoclusters leads to admixture of more than 2% of the dπ⊥ states to the dσ energy region and formation of vacant superatomic molecular orbitals of d character in cubic ligand field. The Fe-derived hollow-caged nanoclusters reveal extremely high spin states with small energy differences between ferromagnetic and antiferromagnetic configurations, which can be utilized for quantum holonomic computations.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Avoided crossings and bound states in the continuum in low-contrast dielectric gratings
Коллективы : Ministry of Education and Science of the Russian Federation [3.1845.2017/4.6]
Место публикации : Phys. Rev. A. - 2018. - Vol. 98, Is. 5. - Ст.053840. - ISSN 2469-9926, DOI 10.1103/PhysRevA.98.053840. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 49. - This work was supported by Ministry of Education and Science of the Russian Federation (State Contract No. 3.1845.2017/4.6). We are grateful to K. N. Pichugin for assistance with the computations.
Предметные рубрики: RESONANCES
Аннотация: We consider bound states in the continuum (BICs) in low-contrast dielectric gratings. It is demonstrated that the BICs originate from the reduced guided modes on the effective dielectric slab with the permittivity equal to the average permittivity of the dielectric grating. In the case of isolated resonances, the positions of BICs can be found from two-wave dispersion relationships for guided leaky modes. In the case of the degeneracy between the two families of leaky modes, the system exhibits an avoided crossing of resonances. In the spectral vicinity of the avoided crossing the transmittance as well as the emergence of BICs is described in the framework of the generic formalism by Volya and Zelevinsky [Phys. Rev. C 67, 054322 ( 2003)] with a single fitting parameter.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Rotter I., Sadreev A. F.
Заглавие : Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dot
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2005. - Vol. 71, Is. 3. - Ст.36227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.71.036227
Примечания : Cited References: 49
Предметные рубрики: BERRY TOPOLOGICAL PHASE
EXCEPTIONAL POINTS
GEOMETRIC PHASES
NUCLEAR REACTIONS
RESONANCE STATES
UNIFIED THEORY
S-MATRIX
CONTINUUM
REPULSION
INTERFEROMETER
Ключевые слова (''Своб.индексиров.''): branch points in the complex plane (bpcp)--diabolic points (dp)--geometric phases--riemann sheets--eigenvalues and eigenfunctions--electron energy levels--functions--hamiltonians--quantum theory--resonance--topology--semiconductor quantum dots
Аннотация: We study the spectrum of an open double quantum dot as a function of different system parameters in order to receive information on the geometric phases of branch points in the complex plane (BPCP). We relate them to the geometrical phases of the diabolic points (DPs) of the corresponding closed system. The double dot consists of two single dots and a wire connecting them. The two dots and the wire are represented by only a single state each. The spectroscopic values follow from the eigenvalues and eigenfunctions of the Hamiltonian describing the double dot system. They are real when the system is closed, and complex when the system is opened by attaching leads to it. The discrete states as well as the narrow resonance states avoid crossing. The DPs are points within the avoided level crossing scenario of discrete states. At the BPCP, width bifurcation occurs. Here, different Riemann sheets evolve and the levels do not cross anymore. The BPCP are physically meaningful. The DPs are unfolded into two BPCP with different chirality when the system is opened. The geometric phase that arises by encircling the DP in the real plane, is different from the phase that appears by encircling the BPCP. This is found to be true even for a weakly opened system and the two BPCP into which the DP is unfolded.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Dzebisashvili D. M., Barabanov A. F.
Заглавие : Basis states and collective excitations of nonlocal three-spin polarons over the singlet phase of the CuO2 plane
Место публикации : JETP Letters. - 2012. - Vol. 95, Is. 4. - P.206-212. - ISSN 0021-3640, DOI 10.1134/S0021364012040091
Примечания : Cited References: 15. - This work was supported by the Presidium of the Russian Academy of Sciences (program "Quantum Physics of Mesoscopic and Disordered Systems"), the Russian Foundation for Basic Research (project nos. 10-02-00251 and 11-02-98007-r-sibir'), and the Ministry of Education and Science of the Russian Federation (federal program "Human Capital for Science and Education in Innovative Russia" for 2009-2013).
Предметные рубрики: HEISENBERG-ANTIFERROMAGNET
SQUARE LATTICE
SPIN-POLARON
MODEL
Аннотация: An orthonormalized basis describing the single-hole states of the CuO2 plane has been constructed exactly taking into account the p-d exchange coupling between the spins of a hole and the two nearest copper ions. The introduced basis makes it possible to include the effects caused by the dependence of the Heisenberg interaction between the nearest copper ions on the occupation of the intermediate oxygen ion by the hole in the calculation of the spectrum of the collective excitations of nonlocal three-spin polarons. The inclusion of this correlation, as well as the nonlocality of the p-d exchange coupling, is the main difference of the developed approach to the description of the energy structure from the calculations with the use of the Zhang-Rice singlet.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev E. N.
Заглавие : Bloch bound states in the radiation continuum in a periodic array of dielectric rods
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : Phys. Rev. A: American Physical Society, 2014. - Vol. 90, Is. 5. - Ст.53801. - ISSN 1050-2947, DOI 10.1103/PhysRevA.90.053801. - ISSN 1094-1622
Примечания : Cited References: 35. - The work was supported by the Russian Science Foundation through Grant No. 14-12-00266. We acknowledge discussions with D. N. Maksimov.
Предметные рубрики: WAVE-GUIDE
SCATTERING
CYLINDERS
CHANNEL
Аннотация: We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of Bloch bound states in the continuum (BSCs): symmetry protected with a zero Bloch vector, embedded in one diffraction channel with nonzero Bloch vector, and embedded in two and three diffraction channels. The first and second types of the BSC exist for a wide range of material parameters of the rods, while the third occurs only at a specific value of the radius of the rods. We show that the second type supports the power flux along the array. In order to find BSCs we put forward an approach based on the expansion over the Hankel functions. We show how the BSC reveals itself in the scattering function when the singular BSC point is approached along a specific path in the parametric space.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gluck M., Kolovsky A. R., Korsch H. J.
Заглавие : Bloch particle in the presence of dc and ac fields
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1998. - Vol. 249, Is. 5-6. - P483-488. - ISSN 0375-9601, DOI 10.1016/S0375-9601(98)00763-4
Примечания : Cited References: 21
Предметные рубрики: DYNAMIC LOCALIZATION
ELECTRONS
ATOMS
Ключевые слова (''Своб.индексиров.''): wannier-bloch states--quantum chaos
Аннотация: In this Letter we study the metastable states of a Bloch particle in the presence of external ac and de fields. For the resonance condition between the period of the driving frequency and the Bloch period, the complex quasi-energies are numerically calculated for two qualitatively different regimes (quasi-regular and chaotic) of the system dynamics. For the chaotic regime an effect of quantum stabilization, which suppresses the classical decay mechanism, is found. This effect is demonstrated to be a kind of quantum phenomenon sensitive to the resonance condition. (C) 1998 Elsevier Science B.V.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kolovsky A. R.
Заглавие : Bose-Hubbard Hamiltonian: Quantum chaos approach
Место публикации : Int. J. Mod. Phys. B: World Scientific Publishing, 2016. - Vol. 30, Is. 10. - Ст.1630009. - ISSN 0217-9792, DOI 10.1142/S0217979216300097. - ISSN 1793-6578(eISSN)
Примечания : Cited References:42
Предметные рубрики: Optical lattice
Dynamics
Atoms
States
Model
Ключевые слова (''Своб.индексиров.''): cold atoms in optical lattices--quantum transport--nonlinear dynamics and chaos
Аннотация: We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics - the Bose-Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F.
Заглавие : Bound states in elastic waveguides
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2006. - Vol. 74, Is. 1. - Ст.16201. - ISSN 1539-3755, DOI 10.1103/PhysRevE.74.016201
Примечания : Cited References: 26
Предметные рубрики: CLASSICALLY UNBOUND SYSTEM
QUANTUM WIRES
Аннотация: We consider numerically the L-, T-, and X-shaped elastic waveguides with the Dirichlet boundary conditions for in-plane deformations (displacements) which obey the vectorial Navier-Cauchy equation. In the X-shaped waveguide we show the existence of a doubly degenerate bound state with frequency below the first symmetrical cutoff frequency, which belongs to the two-dimensional irreducible representation E of symmetry group C-4v. Moreover the next bound state is below the next antisymmetric cutoff frequency. This bound state belongs to the irreducible representation A(2). The T-shaped waveguide has only one bound state while the L-shaped one has no bound states.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Bound States in Photonic Fabry-Perot Resonator Comprised of Two Nonlinear Off-Channel Defects
Коллективы : Russian Foundation for Basic Research [09-02-98005-Siberia]
Место публикации : JETP Letters. - 2009. - Vol. 90, Is. 12. - P.744-749. - ISSN 0021-3640, DOI 10.1134/S0021364009240023
Примечания : Cited References: 32. - We thank Kostya Pichugin for many helpful discussions. The work was partially supported by the Russian Foundation for Basic Research, project no. 09-02-98005-Siberia.
Предметные рубрики: SCATTERING-THEORY
WAVE-GUIDE
CONTINUUM
MODES
Аннотация: Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interfer-ometer (FPR). The defects are made from a Kerr-like nonlinear material. For the linear case such a FPR can support the bound states in the form of standing waves between the defects if the distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects however for an quantized electromagnetic intensity. For the transmission through FPR we reveal new resonances and show these are a result of coupling of the bound states with incident wave because of nonlinearity of the defects. The resonances are spaced at the eigen frequencies of bound states.
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