scholarly journals Nonlinear Dynamics in Atom Optics

1996 ◽  
Vol 49 (4) ◽  
pp. 777 ◽  
Author(s):  
Wenyu Chen ◽  
S Dyrting ◽  
GJ Milburn
Keyword(s):  
Nonlinear Dynamics ◽  
Quantum Dynamics ◽  
Cold Atoms ◽  
Standing Waves ◽  
Theoretical Work ◽  
External Noise ◽  
Time Dependent ◽  
Atom Optics ◽  
Classical Dynamics ◽  
Basic Concepts

In this paper theoretical work on classical and quantum nonlinear dynamics of cold atoms is reported. The basic concepts in nonlinear dynamics are reviewed and then applied to the motion of atoms in time-dependent standing waves and to the atomic bouncer. We describe the quantum dynamics for the cases of regular and chaotic classical dynamics. The effect of spontaneous emission and external noise is also discussed.

Oscillatory and collective instabilities in large Prandtl number convection

1974 ◽  
Vol 66 (1) ◽  
pp. 67-79 ◽  
Author(s):  
F. H. Busse ◽  
J. A. Whitehead
Keyword(s):  
Experimental Study ◽  
Prandtl Number ◽  
Initial Conditions ◽  
Random Noise ◽  
Equations Of Motion ◽  
Critical Rayleigh Number ◽  
Standing Waves ◽  
Theoretical Work ◽  
Time Dependent ◽  
Recent Theoretical Work

An experimental study of transitions from steady bimodal convection to time-dependent forms of convection is described. Using controlled initial conditions for the onset of bimodal convection two mechanisms of instability can be separated from the effects of random noise. The oscillatory instability of bimodal cells introduces standing waves closely resembling those occurring in low Prandtl number convection. The collective instability introduces spoke-pattern convection which is characteristic for turbulent large Prandtl number convection. Both instabilities originate primarily from the momentum advection terms in the equations of motion, as is evident from the strong Prandtl number dependence of the critical Rayleigh number Rt for the onset of oscillations. The results are discussed in relation to previous experiments and recent theoretical work.

scholarly journals Chaos in time-dependent variational approximations to quantum dynamics

1998 ◽  
Vol 57 (2) ◽  
pp. 1489-1498 ◽  
Author(s):  
Fred Cooper ◽  
John Dawson ◽  
Salman Habib ◽  
Robert D. Ryne
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent ◽  
Variational Approximations

scholarly journals Gravity-Sensitive Quantum Dynamics in Cold Atoms

2004 ◽  
Vol 93 (16) ◽  
Author(s):  
Z.-Y. Ma ◽  
M. B. d’Arcy ◽  
S. A. Gardiner
Keyword(s):  
Quantum Dynamics ◽  
Cold Atoms

A time-dependent quantum dynamics study of the H2+CH3→H+CH4 reaction

2002 ◽  
Vol 117 (21) ◽  
pp. 9806-9810 ◽  
Author(s):  
Dunyou Wang
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent

Arrays of microscopic magnetic traps for cold atoms and their applications in atom optics

2002 ◽  
Vol 11 (5) ◽  
pp. 472-480 ◽  
Author(s):  
Yin Jian-Ping ◽  
Gao Wei-Jian ◽  
Hu Jian-Jun
Keyword(s):  
Cold Atoms ◽  
Atom Optics ◽  
Magnetic Traps

The two-sided lid-driven cavity: experiments on stationary and time-dependent flows

2002 ◽  
Vol 450 ◽  
pp. 67-95 ◽  
Author(s):  
CH. BLOHM ◽  
H. C. KUHLMANN
Keyword(s):  
Three Dimensional ◽  
Standing Waves ◽  
Reynolds Numbers ◽  
Time Dependent ◽  
Flow State ◽  
Incompressible Fluid Flow ◽  
Velocity Measurements ◽  
Driven Cavity ◽  
Rectangular Container ◽  
Hot Film

The incompressible fluid flow in a rectangular container driven by two facing sidewalls which move steadily in anti-parallel directions is investigated experimentally for Reynolds numbers up to 1200. The moving sidewalls are realized by two rotating cylinders of large radii tightly closing the cavity. The distance between the moving walls relative to the height of the cavity (aspect ratio) is Γ = 1.96. Laser-Doppler and hot-film techniques are employed to measure steady and time-dependent vortex flows. Beyond a first threshold robust, steady, three-dimensional cells bifurcate supercritically out of the basic flow state. Through a further instability the cellular flow becomes unstable to oscillations in the form of standing waves with the same wavelength as the underlying cellular flow. If both sidewalls move with the same velocity (symmetrical driving), the oscillatory instability is found to be tricritical. The dependence on two sidewall Reynolds numbers of the ranges of existence of steady and oscillatory cellular flows is explored. Flow symmetries and quantitative velocity measurements are presented for representative cases.

Quantum Dynamics of the Reaction H(2S) + HeH+(X1Σ+) → H2+(X2Σg+) + He(1S) from Cold to Hyperthermal Energies: Time-Dependent Wavepacket Study and Comparison with Time-Independent Calculations

2014 ◽  
Vol 118 (33) ◽  
pp. 6451-6456 ◽  
Author(s):  
Pablo Gamallo ◽  
Sinan Akpinar ◽  
Paolo Defazio ◽  
Carlo Petrongolo
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent

scholarly journals Quantum control of ultra-cold atoms: uncovering a novel connection between two paradigms of quantum nonlinear dynamics

2009 ◽  
Vol 56 (6) ◽  
pp. 722-728 ◽  
Author(s):  
Jiao Wang ◽  
Anders S. Mouritzen ◽  
Jiangbin Gong
Keyword(s):  
Nonlinear Dynamics ◽  
Quantum Control ◽  
Cold Atoms
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