Truncated generalized coherent states
نویسندگان
چکیده
A generalization of the canonical coherent states a quantum harmonic oscillator has been performed by requiring conditions normalizability, continuity in label, and resolution identity operator with positive weight function. Relying on this approach, present scenario, are generalized over or finite dimensional Fock space oscillator. class is determined such that corresponding distributions number excitations depart from Poisson statistics according to combinations stretched exponential decays, power laws, logarithmic forms. The analysis Mandel parameter shows exhibit (non-classical) sub-Poissonian super-Poissonian excitations, based realization constraints. Mittag-Leffler Wright analyzed as particular cases.
منابع مشابه
Generalized Squeezed States from Generalized Coherent States
Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation(or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladder-operator and displacement-operator squeezed states. After reviewing the known...
متن کاملDynamics of Generalized Coherent States
We show that generalized coherent states follow Schrödinger dynamics in time-dependent potentials. The normalized wave-packets follow a classical evolution without spreading; in turn, the Schrödinger potential depends on the state through the classical trajectory. This feedback mechanism with continuous dynamical re-adjustement allows the packets to remain coherent indefinetely. PACS numbers: 0...
متن کاملOn Generalized Super-Coherent States
A set of operators, the so-called k-fermion operators, that interpolate between boson and fermion operators are introduced through the consideration of an algebra arising from two non-commuting quon algebras. The deformation parameters q and 1/q for these quon algebras are roots of unity with q = exp(2πi/k) and k ∈ N\{0, 1}. The case k = 2 corresponds to fermions and the limiting case k → ∞ to ...
متن کاملEntanglement in bipartite generalized coherent states
Entanglement in a class of bipartite generalized coherent states is discussed. It is shown that a positive parameter can be associated with the bipartite generalized coherent states so that the states with equal value for the parameter are of equal entanglement. It is shown that the maximum possible entanglement of 1 bit is attained if the positive parameter equals √ 2. The result that the enta...
متن کاملGeneralized Coherent States for Classical Orthogonal Polynomials
For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2023
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0127702