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Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model

... i are Pauli matrices and the masses of the oscillators are set to one. The quenched random bonds Ji (and transverse fields hi ) are uniformly distributed in 0; J0  and 0; h0 , respectively. The properties of the bath are speciP fied by its spectral function Ji !  2 ki C2ki =!ki !  !ki  ...
Loop Quantum Gravity and Effective Matter Theories
Loop Quantum Gravity and Effective Matter Theories

Conformal geometry of the supercotangent and spinor
Conformal geometry of the supercotangent and spinor

Research Article Mathematical Transform of Traveling
Research Article Mathematical Transform of Traveling

... momentum of the quantum particle see 10 for more details. The quantities Aeμ x and Aeμ p do not correspond to standard photons, and for this reason they cannot be substituted by operators as required by second quantification theory. However, experimental facts have shown that the electromagn ...
The Structure of the Atom
The Structure of the Atom

... He has 2 electrons, can we add another electron spinning in another direction in the first energy level of the s sublevel with its 1 spherical orbital? No, the third electron must go to the 2nd energy level which has 2 sublevels, s and p, s with its one spherical orbital and p with its 3 orientation ...
Non-equilibrium steady state of sparse systems OFFPRINT and D. Cohen D. Hurowitz
Non-equilibrium steady state of sparse systems OFFPRINT and D. Cohen D. Hurowitz

... Fig. 6: (Colour on-line) The dependence of T∞ on the width σ of the log-normal distribution. Note that the sparsity is s = exp(−σ 2 ). We confirm that T∞ is bounded from below by [Δ(En )/Δ(Er )]TB (dashed red line), and tends to TB in the sparse limit. Here Δ(En ) = 25 is the width of energy window i ...
Time-dependent quantum circular billiard
Time-dependent quantum circular billiard

... by Makowski et al. [16]. We solve the Schr¨odinger equation for the circular billiard with a time-dependent radius. In particular, we consider the following cases: i) monotonically expanding (contracting) circle; ii) non-harmonically breathing circle; iii) harmonically breathing circle. The classica ...
Chapter 5 The Quantum Soul: A Scientific Hypothesis
Chapter 5 The Quantum Soul: A Scientific Hypothesis

Theoretical examination of quantum coherence in a photosynthetic
Theoretical examination of quantum coherence in a photosynthetic

PPt fileDavid Tannor
PPt fileDavid Tannor

MATHEMATICS OF TOPOLOGICAL QUANTUM COMPUTING 1
MATHEMATICS OF TOPOLOGICAL QUANTUM COMPUTING 1

Weak value amplification: a view from quantum estimation theory
Weak value amplification: a view from quantum estimation theory

Dynamical quantum-electrodynamics embedding: Combining time
Dynamical quantum-electrodynamics embedding: Combining time

Coherent population trapping of an electron spin in a single
Coherent population trapping of an electron spin in a single

Experimental one-way quantum computing
Experimental one-way quantum computing

... Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think ...
1 - at www.arxiv.org.
1 - at www.arxiv.org.

The symmetrized quantum potential and space as a direct
The symmetrized quantum potential and space as a direct

From Quantum Gates to Quantum Learning
From Quantum Gates to Quantum Learning

Quantum Phase Transition and Emergent Symmetry in a Quadruple Quantum... Dong E. Liu, Shailesh Chandrasekharan, and Harold U. Baranger
Quantum Phase Transition and Emergent Symmetry in a Quadruple Quantum... Dong E. Liu, Shailesh Chandrasekharan, and Harold U. Baranger

Quotient–Comprehension Chains
Quotient–Comprehension Chains

The effect of quantum confinement and discrete dopants in
The effect of quantum confinement and discrete dopants in

Francesco Cattafi - Universiteit Utrecht
Francesco Cattafi - Universiteit Utrecht

Magnetic properties of quantum corrals from first
Magnetic properties of quantum corrals from first

Nonclassical States of Cold Atomic Ensembles and of Light Fields
Nonclassical States of Cold Atomic Ensembles and of Light Fields

Gate-defined quantum confinement in suspended bilayer graphene
Gate-defined quantum confinement in suspended bilayer graphene

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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