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Journal articles on the topic 'Level repulsion'

Author: Grafiati

Published: 8 February 2025

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1

MA, TAO, and R. A. SEROTA. "LEVEL REPULSION IN INTEGRABLE SYSTEMS." International Journal of Modern Physics B 26, no. 13 (May 5, 2012): 1250095. http://dx.doi.org/10.1142/s0217979212500956.

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We provide evidence that level repulsion in semiclassical spectrum is not just a feature of classically chaotic systems, but classically integrable systems as well. While in chaotic systems level repulsion develops on a scale of the mean level spacing, regardless of the location in the spectrum, in integrable systems it develops on a much longer scale — such as geometric mean of the mean level spacing and the running energy in the spectrum for hard wall billiards. We show that at this scale level correlations in integrable systems have a universal dependence on the level separation, as well as discuss their exact form at any scale. These correlations have dramatic consequences, including deviations from the Poissonian statistics in the nearest level spacing distribution and persistent oscillations of the level number variance over an energy interval as a function of the interval width. We illustrate our findings on two specific models — rectangular infinite well and a modified Kepler problem — that serve as generic types of a hard wall billiard and a potential problem without extra symmetries. Our theory and numerical work are based on the concept of parametric averaging that allows sampling of a statistical ensemble of integrable systems at a given spectral location (running energy).

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2

Wan, Qingyun, Jun Yang, Wai-Pong To, and Chi-Ming Che. "Strong metal–metal Pauli repulsion leads to repulsive metallophilicity in closed-shell d8 and d10 organometallic complexes." Proceedings of the National Academy of Sciences 118, no. 1 (December 28, 2020): e2019265118. http://dx.doi.org/10.1073/pnas.2019265118.

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Metallophilicity is defined as the interaction among closed-shell metal centers, the origin of which remains controversial, particularly for the roles of spd orbital hybridization (mixing of the spd atomic orbitals of the metal atom in the molecular orbitals of metal complex) and the relativistic effect. Our studies reveal that at close M–M′ distances in the X-ray crystal structures of d8 and d10 organometallic complexes, M–M′ closed-shell interactions are repulsive in nature due to strong M–M′ Pauli repulsion. The relativistic effect facilitates (n + 1)s-nd and (n + 1)p-nd orbital hybridization of the metal atom, where (n + 1)s-nd hybridization induces strong M–M′ Pauli repulsion and repulsive M–M′ orbital interaction, and (n + 1)p-nd hybridization suppresses M–M′ Pauli repulsion. This model is validated by both DFT (density functional theory) and high-level coupled-cluster singles and doubles with perturbative triples computations and is used to account for the fact that the intermolecular or intramolecular Ag–Ag′ distance is shorter than the Au–Au′ distance, where a weaker Ag–Ag′ Pauli repulsion plays an important role. The experimental studies verify the importance of ligands in intermolecular interactions. Although the M–M′ interaction is repulsive in nature, the linear coordination geometry of the d10 metal complex suppresses the L–L′ (ligand–ligand) Pauli repulsion while retaining the strength of the attractive L–L′ dispersion, leading to a close unsupported M–M′ distance that is shorter than the sum of the van der Waals radius (rvdw) of the metal atoms.

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3

Scharf, R., B. Dietz, M. Kuś, F. Haake, and M. V. Berry. "Kramers' Degeneracy and Quartic Level Repulsion." Europhysics Letters (EPL) 5, no. 5 (March 1, 1988): 383–89. http://dx.doi.org/10.1209/0295-5075/5/5/001.

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4

Ma, Jian-Zhong. "On the degree of level repulsion." Physics Letters A 207, no. 5 (November 1995): 269–73. http://dx.doi.org/10.1016/0375-9601(95)00726-j.

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5

Müller, M., F. M. Dittes, W. Iskra, and I. Rotter. "Level repulsion in the complex plane." Physical Review E 52, no. 6 (December 1, 1995): 5961–73. http://dx.doi.org/10.1103/physreve.52.5961.

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6

Sacha, Krzysztof, and Jakub Zakrzewski. "Driven Rydberg Atoms Reveal Quartic Level Repulsion." Physical Review Letters 86, no. 11 (March 12, 2001): 2269–72. http://dx.doi.org/10.1103/physrevlett.86.2269.

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7

Frank, Winfried, and Peter von Brentano. "Classical analogy to quantum mechanical level repulsion." American Journal of Physics 62, no. 8 (August 1994): 706–9. http://dx.doi.org/10.1119/1.17500.

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8

Garrett, J. D., J. Q. Robinson, A. J. Foglia, and H. Q. Jin. "Nuclear level repulsion and order vs. chaos." Physics Letters B 392, no. 1-2 (January 1997): 24–29. http://dx.doi.org/10.1016/s0370-2693(96)01528-6.

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9

Heiss, W. D. "Phases of wave functions and level repulsion." European Physical Journal D - Atomic, Molecular and Optical Physics 7, no. 1 (August 1, 1999): 1–4. http://dx.doi.org/10.1007/s100530050339.

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10

Caurier, E., and B. Grammaticos. "Extreme level repulsion for chaotic quantum Hamiltonians." Physics Letters A 136, no. 7-8 (April 1989): 387–90. http://dx.doi.org/10.1016/0375-9601(89)90420-9.

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11

Plumb, K. W., Kyusung Hwang, Y. Qiu, Leland W. Harriger, G. E. Granroth, Alexander I. Kolesnikov, G. J. Shu, et al. "Quasiparticle-continuum level repulsion in a quantum magnet." Nature Physics 12, no. 3 (November 30, 2015): 224–29. http://dx.doi.org/10.1038/nphys3566.

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12

Molinari, L., and V. V. Sokolov. "Level repulsion for band 3 × 3 random matrices." Journal of Physics A: Mathematical and General 22, no. 21 (November 7, 1989): L999—L1000. http://dx.doi.org/10.1088/0305-4470/22/21/004.

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13

Caurier, E., B. Grammaticos, and A. Ramani. "Level repulsion near integrability: a random matrix analogy." Journal of Physics A: Mathematical and General 23, no. 21 (November 7, 1990): 4903–9. http://dx.doi.org/10.1088/0305-4470/23/21/029.

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14

Heinzel, T., S. Lüscher, M. Furlan, and K. Ensslin. "Measuring the energy level repulsion in quantum dots." Superlattices and Microstructures 33, no. 5-6 (May 2003): 291–300. http://dx.doi.org/10.1016/j.spmi.2004.02.005.

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15

Lu, Yan, and Ankit Srivastava. "Level repulsion and band sorting in phononic crystals." Journal of the Mechanics and Physics of Solids 111 (February 2018): 100–112. http://dx.doi.org/10.1016/j.jmps.2017.10.021.

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16

Pato, M. P. "Level repulsion and the dynamical diagonalization of matrices." Physica A: Statistical Mechanics and its Applications 312, no. 1-2 (September 2002): 153–58. http://dx.doi.org/10.1016/s0378-4371(02)00863-4.

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17

Papenbrock, T., Z. Pluhař, and H. A. Weidenmüller. "Level repulsion in constrained Gaussian random-matrix ensembles." Journal of Physics A: Mathematical and General 39, no. 31 (July 19, 2006): 9709–26. http://dx.doi.org/10.1088/0305-4470/39/31/004.

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18

Feltrin, A., R. Idrissi Kaitouni, A. Crottini, J. L. Staehli, B. Deveaud, V. Savona, X. L. Wang, and M. Ogura. "Exciton relaxation and level repulsion in quantum wires." physica status solidi (c), no. 5 (August 2003): 1417–20. http://dx.doi.org/10.1002/pssc.200303191.

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19

Feltrin, A., A. Crottini, M. A. Dupertuis, J. L. Staehli, B. Deveaud, V. Savona, X. L. Wang, and M. Ogura. "Photoluminescence spectra and level repulsion in quantum wires." physica status solidi (c) 1, no. 3 (February 2004): 506–9. http://dx.doi.org/10.1002/pssc.200304026.

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20

Groda, Ya G. "Equilibrium properties of the lattice fluid with the repulsion between the nearest neighbors on the two-level lattice with nonrectangular geometry." Condensed Matter Physics 25, no. 1 (2022): 13501. http://dx.doi.org/10.5488/cmp.25.13501.

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The equilibrium properties of the lattice fluid with the repulsion between the nearest neighbors on the two-level planar triangular lattice are investigated. The numerical results obtained from the analytical expressions are compared with the Monte Carlo simulation data. It is shown that the previously proposed diagrammatic approximation makes it possible to determine the equilibrium characteristics of the lattice fluid with the repulsion between the nearest neighbors on a two-level lattice with an accuracy comparable to the accuracy of modelling the system using the Monte Carlo method in the entire range of thermodynamic parameters. It was found that, in contrast to a similar one-level system, a lattice fluid with the repulsion between the nearest neighbors undergoes a first-order phase transition.

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21

Breuer, Jonathan, and Daniel Weissman. "Level repulsion for Schrödinger operators with singular continuous spectrum." Journal of Spectral Theory 9, no. 2 (October 24, 2018): 429–51. http://dx.doi.org/10.4171/jst/252.

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22

Barthélemy, Jérôme, Olivier Legrand, and Fabrice Mortessagne. "Level repulsion and spectral rigidity in reverberant microwave cavities." Journal of the Acoustical Society of America 109, no. 5 (May 2001): 2443. http://dx.doi.org/10.1121/1.4744654.

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23

Grobe, Rainer, and Fritz Haake. "Universality of cubic-level repulsion for dissipative quantum chaos." Physical Review Letters 62, no. 25 (June 19, 1989): 2893–96. http://dx.doi.org/10.1103/physrevlett.62.2893.

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24

Demkov, Yu N., and P. B. Kurasov. "Von Neumann-Wigner theorem: Level repulsion and degenerate eigenvalues." Theoretical and Mathematical Physics 153, no. 1 (October 2007): 1407–22. http://dx.doi.org/10.1007/s11232-007-0124-y.

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25

Erdős, László, Benjamin Schlein, and Horng-Tzer Yau. "Wegner Estimate and Level Repulsion for Wigner Random Matrices." International Mathematics Research Notices 2010, no. 3 (August 29, 2009): 436–79. http://dx.doi.org/10.1093/imrn/rnp136.

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26

Graham, Robert, and Jürgen Keymer. "Level repulsion in power spectra of chaotic Josephson junctions." Physical Review A 44, no. 10 (November 1, 1991): 6281–93. http://dx.doi.org/10.1103/physreva.44.6281.

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27

Kanter, I., and H. Sompolinsky. "Level repulsion and the dielectric relaxation in quadrupolar glasses." Physical Review B 33, no. 3 (February 1, 1986): 2073–76. http://dx.doi.org/10.1103/physrevb.33.2073.

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28

Zimmermann, R., E. Runge, and V. Savona. "Level repulsion of exciton states in disordered semiconductor nanostructures." physica status solidi (b) 238, no. 3 (August 2003): 478–85. http://dx.doi.org/10.1002/pssb.200303166.

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29

Savona, V., E. Runge, R. Zimmermann, F. Intonti, V. Emiliani, Ch Lienau, and T. Elsaesser. "Level Repulsion of Localized Excitons in Disordered Quantum Wells." physica status solidi (a) 190, no. 3 (April 2002): 625–29. http://dx.doi.org/10.1002/1521-396x(200204)190:3<625::aid-pssa625>3.0.co;2-j.

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30

Rao, J. W., C. H. Yu, Y. T. Zhao, Y. S. Gui, X. L. Fan, D. S. Xue, and C.-M. Hu. "Level attraction and level repulsion of magnon coupled with a cavity anti-resonance." New Journal of Physics 21, no. 6 (June 12, 2019): 065001. http://dx.doi.org/10.1088/1367-2630/ab2482.

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31

Pandey, A., O. Bohigas, and M. J. Giannoni. "Level repulsion in the spectrum of two-dimensional harmonic oscillators." Journal of Physics A: Mathematical and General 22, no. 18 (September 21, 1989): 4083–88. http://dx.doi.org/10.1088/0305-4470/22/18/039.

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32

Abul-Magd, A. Y., and M. H. Simbel. "Level repulsion in nuclei in transition between order and chaos." Journal of Physics G: Nuclear and Particle Physics 24, no. 3 (March 1, 1998): 579–88. http://dx.doi.org/10.1088/0954-3899/24/3/009.

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33

Hsu, Theodore C., and J. C. Angle`s d’Auriac. "Level repulsion in integrable and almost-integrable quantum spin models." Physical Review B 47, no. 21 (June 1, 1993): 14291–96. http://dx.doi.org/10.1103/physrevb.47.14291.

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34

von Brentano, P. "On the generalization of the level repulsion theorem to resonances." Physics Letters B 238, no. 1 (March 1990): 1–5. http://dx.doi.org/10.1016/0370-2693(90)92089-2.

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35

Larraza, Andrés, and Bruce Denardo. "Nonlinear evolution equations for fields with a level repulsion spectrum." Journal of the Acoustical Society of America 88, S1 (November 1990): S76. http://dx.doi.org/10.1121/1.2029148.

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36

Kuś, M., R. Scharf, and F. Haake. "Symmetry versus degree of level repulsion for kicked quantum systems." Zeitschrift für Physik B Condensed Matter 66, no. 1 (March 1987): 129–34. http://dx.doi.org/10.1007/bf01312770.

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37

Elnagar, A. "A heuristic approach for local path planning in 3D environments." Robotica 20, no. 3 (May 2002): 281–90. http://dx.doi.org/10.1017/s0263574701004003.

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In this paper we describe a heuristic potential based technique for solving the problem of path planning based on local information for a free flying robot (FFR) in a 3D static environment. A path which maximizes the sum of three functions: (repulsion from obstacles, attraction towards the goal, and level attraction) is chosen. While the repulsive and goal-attraction potentials depend on how close is the FFR from obstacles and goal, respectively, the level-attraction potential maintains a certain altitude at which the FFR should navigate. Two additional heuristics are proposed to overcome the local minima problem and to improve the efficiency of the search process. Simulation results of the proposed technique are presented.

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38

Grossmann, Siegfried, and Marko Robnik. "Some Generic Properties of Level Spacing Distributions of 2D Real Random Matrices." Zeitschrift für Naturforschung A 62, no. 9 (September 1, 2007): 471–82. http://dx.doi.org/10.1515/zna-2007-0902.

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We study the level spacing distribution P(S) of 2D real random matrices both symmetric as well as general, non-symmetric. In the general case we restrict ourselves to Gaussian distributed matrix elements, but different widths of the various matrix elements are admitted. The following results are obtained: An explicit exact formula for P(S) is derived and its behaviour close to S = 0 is studied analytically, showing that there is linear level repulsion, unless there are additional constraints for the probability distribution of the matrix elements. The constraint of having only positive or only negative but otherwise arbitrary non-diagonal elements leads to quadratic level repulsion with logarithmic corrections. These findings detail and extend our previous results already published in a preceding paper. For symmetric real 2D matrices also other, non-Gaussian statistical distributions are considered. In this case we show for arbitrary statistical distribution of the diagonal and non-diagonal elements that the level repulsion exponent ρ is always ρ = 1, provided the distribution function of the matrix elements is regular at zero value. If the distribution function of the matrix elements is a singular (but still integrable) power law near zero value of S, the level spacing distribution P(S) is a fractional exponent power law at small S. The tail of P(S) depends on further details of the matrix element statistics. We explicitly work out four cases: the uniform (box) distribution, the Cauchy-Lorentz distribution, the exponential distribution and, as an example for a singular distribution, the power law distribution for P(S) near zero value times an exponential tail.

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39

BAZZALI, D., and T. T. TRUONG. "COMPUTATION OF ENERGIES IN THE LOWEST LANDAU LEVEL." International Journal of Modern Physics B 15, no. 01 (January 10, 2001): 37–70. http://dx.doi.org/10.1142/s021797920100231x.

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We propose a novel calculation scheme to obtain various relevant energies in the Fractional Quantum Hall Effect for Ne charged particles confined to a disk interacting through Coulomb repulsion and with an uniform neutralizing background in the Lowest Landau Level. Numerical values for small Ne are compared to values obtained by Monte Carlo simulations or exact numerical diagonalizations. They are found to be remarkably close to each other, for different filling factors when the Laughlin wave function is used.

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40

Burda, Zdzisław, Giacomo Livan, and Pierpaolo Vivo. "Invariant sums of random matrices and the onset of level repulsion." Journal of Statistical Mechanics: Theory and Experiment 2015, no. 6 (June 12, 2015): P06024. http://dx.doi.org/10.1088/1742-5468/2015/06/p06024.

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41

Berman, G. P., F. M. Izrailev, and O. F. Smokotina. "Relevance of level repulsion to quantum correlations for classically chaotic systems." Physics Letters A 161, no. 6 (January 1992): 483–88. http://dx.doi.org/10.1016/0375-9601(92)91078-6.

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42

Crottini, A., R. Idrissi Kaitouni, JL Staehli, B. Deveaud, X. L. Wang, and M. Ogura. "Level Repulsion of Localised Excitons Observed in Near-Field Photoluminescence Spectra." physica status solidi (a) 190, no. 3 (April 2002): 631–35. http://dx.doi.org/10.1002/1521-396x(200204)190:3<631::aid-pssa631>3.0.co;2-v.

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43

Ling, Hangjian, Guillam E. Mclvor, Kasper van der Vaart, Richard T. Vaughan, Alex Thornton, and Nicholas T. Ouellette. "Local interactions and their group-level consequences in flocking jackdaws." Proceedings of the Royal Society B: Biological Sciences 286, no. 1906 (July 3, 2019): 20190865. http://dx.doi.org/10.1098/rspb.2019.0865.

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As one of nature's most striking examples of collective behaviour, bird flocks have attracted extensive research. However, we still lack an understanding of the attractive and repulsive forces that govern interactions between individuals within flocks and how these forces influence neighbours' relative positions and ultimately determine the shape of flocks. We address these issues by analysing the three-dimensional movements of wild jackdaws ( Corvus monedula ) in flocks containing 2–338 individuals. We quantify the social interaction forces in large, airborne flocks and find that these forces are highly anisotropic. The long-range attraction in the direction perpendicular to the movement direction is stronger than that along it, and the short-range repulsion is generated mainly by turning rather than changing speed. We explain this phenomenon by considering wingbeat frequency and the change in kinetic and gravitational potential energy during flight, and find that changing the direction of movement is less energetically costly than adjusting speed for birds. Furthermore, our data show that collision avoidance by turning can alter local neighbour distributions and ultimately change the group shape. Our results illustrate the macroscopic consequences of anisotropic interaction forces in bird flocks, and help to draw links between group structure, local interactions and the biophysics of animal locomotion.

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44

Urbich, Carmen, David Kaluza, Timo Frömel, Andrea Knau, Katrin Bennewitz, Reinier A. Boon, Angelika Bonauer, et al. "MicroRNA-27a/b controls endothelial cell repulsion and angiogenesis by targeting semaphorin 6A." Blood 119, no. 6 (February 9, 2012): 1607–16. http://dx.doi.org/10.1182/blood-2011-08-373886.

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Abstract MicroRNAs (miRs) are small RNAs that regulate gene expression at the posttranscriptional level. miR-27 is expressed in endothelial cells, but the specific functions of miR-27b and its family member miR-27a are largely unknown. Here we demonstrate that overexpression of miR-27a and miR-27b significantly increased endothelial cell sprouting. Inhibition of both miR-27a and miR-27b impaired endothelial cell sprout formation and induced endothelial cell repulsion in vitro. In vivo, inhibition of miR-27a/b decreased the number of perfused vessels in Matrigel plugs and impaired embryonic vessel formation in zebrafish. Mechanistically, miR-27 regulated the expression of the angiogenesis inhibitor semaphorin 6A (SEMA6A) in vitro and in vivo and targeted the 3′-untranslated region of SEMA6A. Silencing of SEMA6A partially reversed the inhibition of endothelial cell sprouting and abrogated the repulsion of endothelial cells mediated by miR-27a/b inhibition, indicating that SEMA6A is a functionally relevant miR-27 downstream target regulating endothelial cell repulsion. In summary, we show that miR-27a/b promotes angiogenesis by targeting the angiogenesis inhibitor SEMA6A, which controls repulsion of neighboring endothelial cells.

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45

Tang, Weichen, and Ivan M. Khaymovich. "Non-ergodic delocalized phase with Poisson level statistics." Quantum 6 (June 9, 2022): 733. http://dx.doi.org/10.22331/q-2022-06-09-733.

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Motivated by the many-body localization (MBL) phase in generic interacting disordered quantum systems, we develop a model simulating the same eigenstate structure like in MBL, but in the random-matrix setting. Demonstrating the absence of energy level repulsion (Poisson statistics), this model carries non-ergodic eigenstates, delocalized over the extensive number of configurations in the Hilbert space. On the above example, we formulate general conditions to a single-particle and random-matrix models in order to carry such states, based on the transparent generalization of the Anderson localization of single-particle states and multiple resonances.

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46

Runge, Erich, and Roland Zimmermann. "Level repulsion in excitonic spectra of disordered systems and local relaxation kinetics." Annalen der Physik 510, no. 5-6 (November 1998): 417–26. http://dx.doi.org/10.1002/andp.199851005-609.

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47

Torres-Herrera, Eduardo Jonathan, and Lea F. Santos. "Dynamical Detection of Level Repulsion in the One-Particle Aubry-André Model." Condensed Matter 5, no. 1 (January 20, 2020): 7. http://dx.doi.org/10.3390/condmat5010007.

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The analysis of level statistics provides a primary method to detect signatures of chaos in the quantum domain. However, for experiments with ion traps and cold atoms, the energy levels are not as easily accessible as the dynamics. In this work, we discuss how properties of the spectrum that are usually associated with chaos can be directly detected from the evolution of the number operator in the one-dimensional, noninteracting Aubry-André model. Both the quantity and the model are studied in experiments with cold atoms. We consider a single-particle and system sizes experimentally reachable. By varying the disorder strength within values below the critical point of the model, level statistics similar to those found in random matrix theory are obtained. Dynamically, these properties of the spectrum are manifested in the form of a dip below the equilibration point of the number operator. This feature emerges at times that are experimentally accessible. This work is a contribution to a special issue dedicated to Shmuel Fishman.

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48

Mondal, Sandip, and Sushil Mujumdar. "Relation between the localization length and level repulsion in 2D Anderson localization." Optics Letters 45, no. 4 (February 14, 2020): 997. http://dx.doi.org/10.1364/ol.383748.

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49

Runge, Erich, and Roland Zimmermann. "Level repulsion in excitonic spectra of disordered systems and local relaxation kinetics." Annalen der Physik 7, no. 5-6 (November 1998): 417–26. http://dx.doi.org/10.1002/(sici)1521-3889(199811)7:5/6<417::aid-andp417>3.0.co;2-5.

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50

Koca, Aliihsan, Mehmet Nurettin Uğural, and Ergün Yaman. "Rising Damp Treatment in Historical Buildings by Electro-Osmosis: A Case Study." Buildings 14, no. 5 (May 17, 2024): 1460. http://dx.doi.org/10.3390/buildings14051460.

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Throughout the past century, numerous technologies have been suggested to deal with the capillary rise of water through the soil in historic masonry buildings. The aim of this study was to examine the effectiveness of capillary moisture repulsion apparatus that uses the electro-osmosis approach over a prolonged period of time. The Gül mosque was selected as a sample historical building affected by structural problems caused by the absorption of water through small channels on its walls due to capillary action. The moisture repulsion mechanism efficiently decreased the moisture level in the walls from a ‘wet’ state to a ‘dry’ state in roughly 9 months. After the installation of the equipment, the water mass ratio of the building decreased from 14.48% to 2.90%. It was determined that the majority of the water in the building was relocated during the initial measurement period. Furthermore, it inhibited the absorption of water by capillary action by protecting the construction elements that were in contact with the wet ground. Lastly, capillary water repulsion coefficients (C) for various measurement durations and time factors were proposed. The average value of C was calculated to be 0.152 kg/m2 s0.5 by measuring the point at which the water repulsion remained nearly constant.

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