Search Results - subject:"Uncertainty relation"

Objective uncertainty relation with classical background in a statistical model

Budiyono, Agung - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 1, pp. 43-47

velocity and position spaces satisfy a reciprocal uncertainty relation. The relation is objective (observation independent) and … implies the standard quantum mechanical uncertainty relation. …

Persistent link: https://www.econbiz.de/10010590838

The minimal length uncertainty and the quantum model for the stock market

Pedram, Pouria - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 5, pp. 2100-2105

uncertainty relation and the corresponding generalized Hamiltonian contains an additional term proportional to the fourth power of …

Persistent link: https://www.econbiz.de/10010871974

Some extensions of the uncertainty principle

Zozor, Steeve; Portesi, Mariela; Vignat, Christophe - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 19, pp. 4800-4808

We study the formulation of the uncertainty principle in quantum mechanics in terms of entropic inequalities, extending results recently derived by Bialynicki-Birula [I. Bialynicki-Birula, Formulation of the uncertainty relations in terms of the Rényi entropies, Physical Review A 74 (5) (2006)...

Persistent link: https://www.econbiz.de/10011062123

On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles

Zozor, S.; Vignat, C. - In: Physica A: Statistical Mechanics and its Applications 375 (2007) 2, pp. 499-517

In this paper we revisit the Bialynicki-Birula and Mycielski uncertainty principle and its cases of equality. This Shannon entropic version of the well-known Heisenberg uncertainty principle can be used when dealing with variables that admit no variance. In this paper, we extend this uncertainty...

Persistent link: https://www.econbiz.de/10011060240

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VIII). Multi-photon interaction

Xie, Rui-Hua; Rao, Qin - In: Physica A: Statistical Mechanics and its Applications 319 (2003) C, pp. 233-244

In our preceding serial works, we have investigated the generation of higher-order atomic dipole squeezing (HOADS) in a high-Q micromaser cavity, discussing the effects of dynamic Stark shift, atomic damping, atomic coherence and nonlinear one-photon processes and different initial states (for...

Persistent link: https://www.econbiz.de/10010590189

Spatial quantum Zeno effect

Luo, Shunlong - In: Physica A: Statistical Mechanics and its Applications 317 (2003) 3, pp. 509-516

. Furthermore, a parameter-based position-momentum uncertainty relation involving absolute moment of any order less than 2 is …

Persistent link: https://www.econbiz.de/10010873583

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VII). Entangled two-mode coherent states

Xie, Rui-Hua; Rao, Qin - In: Physica A: Statistical Mechanics and its Applications 315 (2002) 3, pp. 427-456

In our preceding paper V, we investigated the generation of higher-order atomic dipole squeezing (HOADS) in a nondegenerate two-photon Jaynes–Cummings model (NTPJCM) in the presence of Stark shift. In this paper, we continue to study HOADS in this model but focus on the specific cases that the...

Persistent link: https://www.econbiz.de/10010589800

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (V). A linear superposition of states

Xie, Rui-Hua; Rao, Qin - In: Physica A: Statistical Mechanics and its Applications 315 (2002) 3, pp. 386-410

In our preceding paper, we investigated the generation of higher-order atomic dipole squeezing (HOADS) in a nondegenerate two-photon Jaynes–Cummings model in the absence of Stark shift. In this paper, we continue to study HOADS in this model but with the inclusion of Stark shift. Based on the...

Persistent link: https://www.econbiz.de/10010872441

Phase control of higher-order squeezing of a quantum field

Xie, Rui-Hua; Rao, Qin - In: Physica A: Statistical Mechanics and its Applications 312 (2002) 3, pp. 421-430

In a recent experiment [Phys. Rev. Lett. 88 (2002) 023601], phase-dependent photon statistics in a cw system has been observed in the mixing of a coherent field with a two-photon source. Their system has the advantage over other atomic transition-based fluorescent systems. In this paper, we...

Persistent link: https://www.econbiz.de/10010873487

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VI). Atomic damping by a squeezed vacuum

Xie, Rui-Hua; Rao, Qin - In: Physica A: Statistical Mechanics and its Applications 315 (2002) 3, pp. 411-426

In our previous serial works, we investigated the generation of higher-order atomic dipole squeezing (HOADS) in a high-Q micromaser cavity. In this paper, we continue to study HOADS in this system but consider the effect of atomic damping by a squeezed vacuum in the absence of an external field....

Persistent link: https://www.econbiz.de/10010874407