Grid methods for cold molecules: Determination of photoassociation line shapes and rate constants

Abstract

Abstract

Coherent control of ultracoldRb85trap-loss collisions with nonlinearly frequency-chirped light

“…Although there has been much theoretical work aimed at coherently controlled photoassociative formation of ultracold molecules [9][10][11][12][13][14][15][16][17][18][19][20][21], initial experiments demonstrated only the coherent control of the photodestruction of ultracold molecules using shaped [22] and chirped [23] ultrafast pulses. Subsequent experiments [24][25][26][27][28] observed coherent transients in excitedstate molecules photoassociated with femtosecond pulses and there was some evidence for the production of ground-state molecules [25].…”

Production of ultracold molecules with chirped nanosecond pulses: Evidence for coherent effects

“…To enable efficient computation for nanosecond timescales, the simulations are performed within the basis of vibrational levels calculated on a time-independent mapped Fourier grid [21,22]. A limited bandwidth is then taken to represent each of the vibrational Hamiltonians: ∼15 GHz for the 0 − g and 1 g excited states; and 278 GHz (16 MHz) for the a 3 Σ + u bound (scattering) manifold.…”

An improved Lobatto discrete variable representation by a phase optimisation and variable mapping method

“…The WKB approximation has been widely adopted for optimising the distributions of the grid points using the DVR method [18,68,71]. The number of the grid points in ith finite element are determined by the WKB approximation as following: The grid amount within the ith element (N i ) is determined by…”