[PDF] Top 20 Applications of quantum integrable systems
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Applications of quantum integrable systems
... two applications of quantum integrable ...a quantum wire, contains multiples of the incoming ...fractional quantum Hall effect, can be obtained from quantum wires which are ... See full document
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Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
... corresponding to spin-orbit scattering, is treated in the next section.) The ensemble of uniformly distributed unitary Symmetrie matrices is known äs the circular orthogonal ensemble (CO[r] ... See full document
34
Quantum Monte Carlo for Transition Metal Systems: Method Developments and Applications
... The transition metal-oxygen bond is the driving force behind many perovskite materials, which have been noted as having significant errors in the unit cell volume within DFT[71, 72], while being too large for post ... See full document
121
Discrete Integrable Systems and Poisson Algebras From Cluster Maps
... Cluster algebras were first developed by Fomin and Zelevinsky more than a decade ago [10]. Their structure arises in diverse parts of mathematics and theoretical physics, including Lie theory, quantum algebras, ... See full document
50
Particles versus fields in PT-symmetrically deformed integrable systems
... consistent quantum mechanical description via the definition of a new metric, although this is only worked out in detail for very few solvable models, ...Hermitian systems the Hamiltonian alone is no longer ... See full document
12
Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
... describe quantum correlations between separated local observables and provide all physical information that can be extracted from a model of ...of integrable QFT (IQFT), some of which has found ... See full document
41
Towards the continuous limit of cluster integrable systems
... certain integrable models was ...dimensional quantum integrable system – which they dub cluster integrable system – whose phase space contains the moduli space of line bundles with connections ... See full document
34
Hidden Symmetries of Lax Integrable Nonlinear Systems
... Lax integrable dynamical systems, it was natural to search for another way of con- structing such systems, but based on a suitably chosen reduction construction of the corresponding coadjoint group G ... See full document
22
A Kaluza–Klein reduction of super-integrable systems
... superintegrable systems have a number of interesting properties: they can be separable in more than one coordinate system; all bounded orbits are closed; they give rise to interesting Poisson algebras with ... See full document
13
Astrophysical Applications of Quantum Mechanics
... Understanding of the transport phenomena in chiral systems progressed a lot in recent years. It was mainly driven by the realization that microscopic quan- tum anomalies (such as the axial and mixed ... See full document
110
Entanglement entropy of non-unitary integrable quantum field theory
... one-dimensional quantum systems are quantum spin ...unitary quantum spin ...chain systems exist, for instance the famous quantum group invariant integrable XXZ spin chain, ... See full document
50
Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... certain integrable Hamiltonians. The approach has found applications in the context of numerous models and has led to a detailed study of various mass spectra and S-matrices (for reviews and an extensive ... See full document
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Measures and applications of quantum correlations
... beyond quantum information theory, such as condensed matter, atomic and optical physics, statistical mechanics, and ...of quantum mechanics, including and beyond entanglement, it seems fit to investigate ... See full document
82
On the integrable dynamical systems in statistical mechanics
... of Quantum Integrability is that the system is exactly solvable, in the sense that a full set of eigenstates can be constructed ...of quantum integrable models, where different classes exhibit ... See full document
62
Terahertz imaging using quantum cascade lasers — a review of systems and applications
... sub-kilohertz quantum-noise-limited linewidths [36] and also offer potential for tunability ...imaging systems that do not rely on bulky, ultrafast laser sources ...potential applications, namely: ... See full document
22
Methods of Integrable Systems, Geometry, Applied Mathematics (MISGAM)
... and integrable systems, random matrices, and their ...to applications, and at improving cross-fertilisation of researchers and students across ... See full document
12
The ultraviolet behaviour of integrable quantum field theories, affine Toda field theory
... We investigate the thermodynamic Bethe ansatz (TBA) equations for a system of particles which dynamically interacts via the scattering matrix of affine Toda field theory and whose statistical interaction is of a general ... See full document
38
Darboux transformations with tetrahedral reduction group and related integrable systems
... Most interesting and useful integrable systems in applications are often the result of a reduction of a generic system. A systematic study of reductions originating from the works [1 – 4] led to the ... See full document
32
Negative energy densities in integrable quantum field theories at one-particle level
... of integrable models: While in the present paper we have considered one species of scalar Bosons, one would also like to consider models with several particle species, possibly of different masses and of higher ... See full document
21
On the absence of simultaneous reflection and transmission in integrable impurity systems
... Integrable quantum field theories in 1+1 space-time dimensions in the presence of a boundary have received a considerable amount of attention in recent ... See full document
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