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Books on the topic 'Disordered quantum systems'

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Published: 22 June 2024

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1

Aizenman, Michael. Random operators: Disorder effects on quantum spectra and dynamics. Providence, Rhode Island: American Mathematical Society, 2015.

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2

Exner, Pavel, and Hagen Neidhardt, eds. Order,Disorder and Chaos in Quantum Systems. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7306-2.

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3

1942-, Casati Giulio, and Chirikov B. V, eds. Quantum chaos: Between order and disorder. Cambridge: Cambridge University Press, 1995.

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4

1942-, Casati Giulio, and Chirikov B. V, eds. Quantum chaos: Between order and disorder : a selection of papers. Cambridge: Cambridge University Press, 2006.

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5

1942-, Casati Giulio, and Chirikov B. V, eds. Quantum chaos: Between order and disorder : a selection of papers. New York, N.Y: Cambridge University Press, 1995.

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6

1946-, Exner Pavel, and Neidhardt Hagen, eds. Order, disorder, and chaos in quantum systems: [proceedings of a conference held at Dubna, USSR, on October 17-21, 1989]. Basel: Birkhäuser, 1990.

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7

Kaila, M. M. Molecular Imaging of the Brain: Using Multi-Quantum Coherence and Diagnostics of Brain Disorders. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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8

Arizona School of Analysis with Applications (2nd 2010 University of Arizona). Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Edited by Sims Robert 1975- and Ueltschi Daniel 1969-. Providence, R.I: American Mathematical Society, 2011.

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9

1946-, Exner Pavel, and Neidhardt Hagen, eds. Order, disorder, and chaos in quantum systems: Proceedings of a conference held at Dubna, USSR, on October 17-21, 1989. Basel: Birkhäuser, 1990.

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10

Efetov, Konstantin. Supersymmetry in disorder and chaos. Cambridge [England]: Cambridge University Press, 1997.

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11

Zelʹdovich, I͡A B. Almighty chance. Singapore: World Scientific, 1990.

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12

Beenakker, Carlo W. J. Classical and quantum optics. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.36.

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This article focuses on applications of random matrix theory (RMT) to both classical optics and quantum optics, with emphasis on optical systems such as disordered wave guides and chaotic resonators. The discussion centres on topics that do not have an immediate analogue in electronics, either because they cannot readily be measured in the solid state or because they involve aspects (such as absorption, amplification, or bosonic statistics) that do not apply to electrons. The article first considers applications of RMT to classical optics, including optical speckle and coherent backscattering, reflection from an absorbing random medium, long-range wave function correlations in an open resonator, and direct detection of open transmission channels. It then discusses applications to quantum optics, namely: the statistics of grey-body radiation, lasing in a chaotic cavity, and the effect of absorption on the reflection eigenvalue statistics in a multimode wave guide.

13

Exner. "Order,Disorder and Chaos in Quantum Systems". Springer, 2012.

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14

Quantum Chaos: Between Order and Disorder. Cambridge University Press, 1995.

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15

Casati, Giulio, and Boris Chirikov. Quantum Chaos: Between Order and Disorder. Cambridge University Press, 2010.

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16

Casati, Giulio, and Boris Chirikov. Quantum Chaos: Between Order and Disorder. Cambridge University Press, 2011.

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17

Speicher, Roland. Random banded and sparse matrices. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.23.

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This article discusses some mathematical results and conjectures about random band matrix ensembles (RBM) and sparse matrix ensembles. Spectral problems of RBM and sparse matrices can be expressed in terms of supersymmetric (SUSY) statistical mechanics that provides a dual representation for disordered quantum systems. This representation offers important insights into nonperturbative aspects of the spectrum and eigenfunctions of RBM. The article first presents the definition of RBM ensembles before considering the density of states, the behaviour of eigenvectors, and eigenvalue statistics for RBM and sparse random matrices. In particular, it highlights the relations with random Schrödinger (RS) and the role of the dimension of the lattice. It also describes the connection between RBM and statistical mechanics, the spectral theory of large random sparse matrices, conjectures and theorems about eigenvectors and local spacing statistics, and the RS operator on the Cayley tree or Bethe lattice.

18

Pinheiro, Fernanda. Multi-species Systems in Optical Lattices: From Orbital Physics in Excited Bands to Effects of Disorder. Springer, 2016.

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19

Pinheiro, Fernanda. Multi-species Systems in Optical Lattices: From Orbital Physics in Excited Bands to Effects of Disorder. Springer, 2018.

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20

Murakami, S., and T. Yokoyama. Quantum spin Hall effect and topological insulators. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198787075.003.0017.

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This chapter begins with a description of quantum spin Hall systems, or topological insulators, which embody a new quantum state of matter theoretically proposed in 2005 and experimentally observed later on using various methods. Topological insulators can be realized in both two dimensions (2D) and in three dimensions (3D), and are nonmagnetic insulators in the bulk that possess gapless edge states (2D) or surface states (3D). These edge/surface states carry pure spin current and are sometimes called helical. The novel property for these edge/surface states is that they originate from bulk topological order, and are robust against nonmagnetic disorder. The following sections then explain how topological insulators are related to other spin-transport phenomena.

21

Kaila, M. M., and Rakhi Kaila. Molecular Imaging of the Brain: Using Multi-Quantum Coherence and Diagnostics of Brain Disorders. Springer Berlin / Heidelberg, 2014.

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22

Exner and Neidhardt. Order,Disorder and Chaos in Quantum Systems: PROCEEDINGS OF A CONFErence held at Dubna, UDSSR (Operator Theory: Advances and Applications). Birkhauser, 1990.

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23

Exner and Neidhardt. Order,Disorder and Chaos in Quantum Systems: Proceedings of a Conference Held at Dubna, USSR on October 17-21 1989. Birkhauser Verlag, 2013.

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24

Efetov, Konstantin. Supersymmetry in Disorder and Chaos. Cambridge University Press, 1999.

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25

Efetov, Konstantin. Supersymmetry in Disorder and Chaos. Cambridge University Press, 2012.

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26

Efetov, Konstantin. Supersymmetry in Disorder and Chaos. Cambridge University Press, 2010.

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27

Bohigas, Oriol, and Hans Weidenmuller. History – an overview. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.2.

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This article discusses the first four decades of the history of random matrix theory (RMT), that is, until about 1990. It first considers Niels Bohr's formulation of the concept of the compound nucleus, which is at the root of the use of random matrices in physics, before analysing the development of the theory of spectral fluctuations. In particular, it examines the Wishart ensemble; Dyson's classification leading to the three canonical ensembles — Gaussian Orthogonal Ensemble (GOE), Gaussian Unitary Ensemble (GUE), and Gaussian Symplectic Ensemble (GSE); and the breaking of a symmetry or an invariance. It also describes how random matrix models emerged from quantum physics, more specifically from a statistical approach to the strongly interacting many-body system of the atomic nucleus. The article concludes with an overview of data on nuclear resonances, many-body theory, chaos, number theory, scattering theory, replica trick and supersymmetry, disordered solids, and interacting fermions and field theory.

28

Narlikar, A. V., and Y. Y. Fu, eds. Oxford Handbook of Nanoscience and Technology. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.001.0001.

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This Handbook consolidates some of the major scientific and technological achievements in different aspects of the field of nanoscience and technology. It consists of theoretical papers, many of which are linked with current and future nanodevices, molecular-based materials and junctions (including Josephson nanocontacts). Self-organization of nanoparticles, atomic chains, and nanostructures at surfaces are further described in detail. Topics include: a unified view of nanoelectronic devices; electronic and transport properties of doped silicon nanowires; quasi-ballistic electron transport in atomic wires; thermal transport of small systems; patterns and pathways in nanoparticle self-organization; nanotribology; and the electronic structure of epitaxial graphene. The volume also explores quantum-theoretical approaches to proteins and nucleic acids; magnetoresistive phenomena in nanoscale magnetic contacts; novel superconducting states in nanoscale superconductors; left-handed metamaterials; correlated electron transport in molecular junctions; spin currents in semiconductor nanostructures; and disorder-induced electron localization in molecular-based materials.

29

Zeldovich, Ya B., A. A. Ruzmaikin, and D. D. Sokoloff. The Almighty Chance (World Scientific Lecture Notes in Physics). World Scientific Pub Co Inc, 1990.

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