Study explicit cases for simple quantum groups su q(2) and su q(11) by adopting a slightly different approach to the quantum group coherent state in our approach, quantum analogue of. It was studied coherent states in complex variables in su(2), su(3), su(4) groups and in general in su(n) group using the completeness relation of the. Grassmann coherent states for spin systems coherent states for anharmonic diatomic molecules electron-electron coulomb interaction for coherent entangled states character tables of the schrödinger supergroups the vinyl countdown: best classic rock supergroups on the spectroscopy of coherent states on the time evolution of coherent states. For vector states, basic kets are coherent states in real parameterization wecalculate berry phase for qudit with spin s=3/2 in su(3) group and berry phase wecalculate berry phase for qudit with spin s=3/2 in su(3) group and berry phase. Determined by the point (θ,ϕ)on the bloch sphere, parameterization by the homogeneous variable ψ= ψ 2 ψ 1 =tan θ 2 eiϕ (7) gives stereographic projection of the point (sinθcosϕ,sinθsinϕ,cosθ)on the unit sphere to the complex plane ψ therefore the bloch sphere can be considered as a riemann sphere for the extended complex plane ψand we have the su(2)or the spin-coherent state. Generalized coherent states as preferred states of open quantum systems candidates for quasi-classical states, no real-worldsystem is isolated from its environment acknowledging the role of the environment and characterizing classicality as an emergent property of open quantum systems lies at the heart of the decoherence program  pointer states.
Abstract: in this paper, we develop the formulation of the spin coherent state in real parameterization su(4)we obtain berry phase from schrdinger equation for vector states, basic kets are coherent states in real parameterization we calculate berry phase for qudit with spin s=3/2 in su(3) group and berry phase key words: quantum mechanics, schrdinger equation, coherent state, su. Open quantum dynamical systems driven by coherent controls: structure of the sets of reachable states claudio alta ni sissa-isas international school for. Exact quantum dynamics of spin systems using the positive-p representation ray ng, erik sorensen, mcmaster university | we discuss a scheme for simulating the exact real time quantum dynamics of interacting quan-tum spin systems within the positive-p formalism as model systems we study the transverse ﬂeld ising model as.
Analyzing spin tunneling considering quadrupole excitations in single molecule magnet more by yousef yousefi download (pdf) bookmark magnetic solitons for non heisenberg anisotropic hamiltonians in linear quadrupole excitations more by. The experimental observation of spin-orbital exchange interactions in ultracold atoms opens a window for the exploration of poorly understood magnetic behaviors. In physics, a squeezed coherent state is a quantum state that is usually described by two non-commuting observables having continuous spectra of eigenvalues examples are position and momentum of a particle, and the (dimension-less) electric field in the amplitude (phase 0) and in the node (phase 90°) of a light wave (the wave's. Tensor representation of spin states o giraud,1 d braun,2 d baguette,3 t bastin,3 and j martin3 1lptms, cnrs and université paris-sud, umr 8626, bâtiment 100, 91405 orsay, france 2institut für theoretische physik, universität tübingen, 72076 tübingen, germany 3institut de physique nucléaire, atomique et de spectroscopie.
Netic ﬁeld they are also called su 2 3,4 , spin, or more generally su n coherent states 5–8 for arbitrary n-level systems since they are a continuous set, they satisfy differ-ential identities, which can have useful applications in this paper, a phase-space representation of arbitrary density matrices in terms of off-diagonal su n coherent. Superposition over spins of spin-network states, with a simple ansatz for the weight associated to each link: c j(j 0˘) = exp (j 0)2 2˙ 0 exp( i˘j) (1) the spin j 0 is the classical value of the area of the surface cut by the link the angle ˘is the variable conjugate to the spin, the 4-dimensional dihedral angle coding the extrinsic curvature. In this paper, we develop the formulation of the spin coherent state in real parameterization up to su(5) the path integral in this representation of coherent state and its classical consequence are investigated using the resolution of unity of the coherent state, we derive a path integral expression for transition amplitude and in.
Our derivation starts from the semiclassical formula for the propagator in a basis formed by the product of a canonical and a spin coherent states, and is valid in the limit \hbar. 1 introduction the concept of coherent state has been introduced in 1963 in quantum optics to describe the electromagnetic field , and since then it plays an important role in mathematical physics it is possible to interpret coherent states of a quantum system as the ones that are the most localized, as much as it is permitted by the heisenberg. The semiclassical coherent state propagator for systems with spin 3087 in spite of the extensive work on the semiclassical theory for the canonical and spin. Time-dependent variational principle in density functional theory b weiner department of physics, pennsylvania state university, dubois, pennsylvania.
Abstract: in this paper, we develop the formulation of the spin coherent state in real parameterization up to su(5) the path integral in this representation of coherent state and its classical consequence are investigated using the resolution of unity of the coherent state, we derive a path integral expression for transition amplitude and in.
Muminov kh kh, yousefi y coherent states in real parameterization up to su(5) and classical dynamics of spin systems arxiv:11036080 google scholar 20 zurek w h. Loughborough university institutional repository towards a complete and continuous wigner function for an ensemble of spins or qubits this item was submitted to loughborough university's institutional repository. Generalised coherent states for su(n) systems kae nemoto centre for laser science, department of physics, the university of queensland, qld.