Quantum signatures of chaos in the dynamics of a trapped ionJ
نویسندگان
چکیده
We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme G. trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit an experimental test of one of the quantum signatures of chaos; irregular collapse and revival dynamics of the average vibrational energy.
منابع مشابه
Dynamical evolution of nonclassical properties in cavity quantum electrodynamics with a single trapped ion
In this paper, by considering a system consisting of a single two-level trapped ion interacting with a single-mode quantized radiation field inside a lossless cavity, the temporal evolution of the ionic and the cavity-field quantum statistical properties including photon-counting statistics, quantum fluctuations of the field quadratures and quantum fluctuations of the ionic dipole variables are...
متن کاملQuantum signatures of chaos in the dynamics of a trapped ion
We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme [G.J.Milburn and C.A.Holmes, Phys. Rev A, 44, 4704, (1991) ], the trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit ...
متن کاملQuantum chaos in SU(3) models with trapped ions.
A scheme to generate long-range spin-spin interactions between three-level ions in a chain is presented, providing a feasible experimental route to the rich physics of well-known SU(3) models. In particular, we demonstrate different signatures of quantum chaos which can be controlled and observed in experiments with trapped ions.
متن کاملInvestigation of strong force influence on behavior of nuclear energy levels in Calcium and Titanium isotopes: Based on quantum chaos theory
The atomic nucleus is a complex many-body system that consists of two types of fermion (neutron and proton). They are in the strong interaction. The statistical properties of energy levels and influence of strong force between these fermions are well described by random matrix theory. Resonance of energy levels depends on the Hamiltonian symmetry placed in one of the GOE, GUE and GSE ensembles ...
متن کامل0 Quantum and classical chaos for a single trapped ion
In this paper we investigate the quantum and classical dynamics of a single trapped ion subject to non-linear kicks derived from a periodic sequence of Gaussian laser pulses. We show that the classical system exhibits diffusive growth in the energy, or 'heating', while quantum mechanics suppresses this heating. This system may be realised in current single trapped-ion experiments with the addit...
متن کامل