ua nt - p h / 02 06 18 8 v 2 2 8 Ju n 20 02 New q - deformed coherent states with an explicitly known resolution of unity
نویسنده
چکیده
We construct a new family of q-deformed coherent states |z q , where 0 < q < 1. These states are normalizable on the whole complex plane and continuous in their label z. They allow the resolution of unity in the form of an ordinary integral with a positive weight function obtained through the analytic solution of the associated Stieltjes power-moment problem and expressed in terms of one of the two Jacksons's q-exponentials. They also permit exact evaluation of matrix elements of physically-relevant operators. We use this to show that the photon number statistics for the states is sub-Poissonian and that they exhibit quadrature squeezing as well as an enhanced signal-to-quantum noise ratio over the conventional coherent state value. Finally, we establish that they are the eigenstates of some deformed boson annihilation operator and study some of their characteristics in deformed quantum optics.
منابع مشابه
ar X iv : q ua nt - p h / 02 06 11 6 v 1 1 8 Ju n 20 02 Five Lectures On Dissipative Master Equations
متن کامل
ua nt - p h / 03 06 13 0 v 1 1 9 Ju n 20 03 Even and odd q - deformed charge coherent states and their nonclassical properties
Even and odd q-deformed charge coherent states are constructed , their (over)completeness proved and their generation explored. A D-algebra realization of the SU q (1,1) generators is given in terms of them. They are shown to exhibit SU q (1,1) squeezing and two-mode q-antibunching, but neither one-mode, nor two-mode q-squeezing.
متن کاملua nt - p h / 03 03 12 0 v 1 1 9 M ar 2 00 3 Maths - type q - deformed coherent states for q > 1
Maths-type q-deformed coherent states with q > 1 allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both position and momentum and are intelligent coherent states for the corresponding deformed Heisenberg algebra.
متن کاملua nt - p h / 03 06 13 0 v 2 2 2 A ug 2 00 3 Even and odd q - deformed charge coherent states and their nonclassical properties
Even and odd q-deformed charge coherent states are constructed , their (over)completeness proved and their generation explored. A D-algebra realization of the SU q (1,1) generators is given in terms of them. They are shown to exhibit SU q (1,1) squeezing and two-mode q-antibunching, but neither one-mode, nor two-mode q-squeezing.
متن کاملar X iv : q ua nt - p h / 04 06 02 4 v 1 3 Ju n 20 04 Measurement of an integral of a classical field with a single quantum particle
A method for measuring an integral of a classical field via local interaction of a single quantum particle in a superposition of 2 states is presented. The method is as efficient as a quantum method with N qubits passing through the field one at a time and it is exponentially better than any known classical method that uses N bits passing through the field one at a time. A related method for se...
متن کامل