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arXiv:cond-mat/0202509 · Physical Review Letters

Bose-Enhanced Chemistry: Amplification of Selectivity in the Dissociation of Molecular Bose-Einstein Condensates

M. G. Moore, Amichay Vardi

Published Apr 9, 2002• 61 citations
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Abstract

We study the photodissociation chemistry of a quantum degenerate gas of bosonic triatomic ABC molecules, assuming two open rearrangement channels ( AB+C or A+BC). The equations of motion are equivalent to those of a parametric multimode laser, resulting in an exponential buildup of macroscopic mode populations. By exponentially amplifying a small differential in the single-particle rate coefficients, Bose stimulation leads to a nearly complete selectivity of the collective N-body process, indicating a novel type of ultraselective quantum degenerate chemistry.

DOI
10.1103/physrevlett.88.160402

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We propose a scheme for parametric amplification and phase conjugation of an atomic Bose-Einstein condensate (BEC) via stimulated dissociation of a BEC of molecular dimers consisting of bosonic atoms. This can potentially be realized via coherent Raman transitions or using a magnetic Feshbach resonance. We show that the interaction of a small incoming atomic BEC with a (stationary) molecular BEC can produce two counterpropagating atomic beams - an amplified atomic BEC and its phase-conjugate or ``time-reversed'' replica. The two beams can possess strong quantum correlation in the relative particle number, with squeezed number-difference fluctuations.
We study the collective two-channel dissociation dynamics of a molecular Bose-Einstein condensate into bosonic fragments under tight harmonic confinement. Bose-stimulated dissociation in either channel can only take place provided that the respective trap size lil_ili​ for the fragments is large with respect to the healing length ζiζ_iζi​ of the atom-molecule resonance. Thus, even when both channels are equally coupled, differences in mass or in dynamical polarizability enable the control of the reaction outcome by variation of the trap frequency. In particular, if l1>ζ1l_1>ζ_1l1​>ζ1​ and $l_2
We solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout the Feshbach resonance. Our solution predicts a dependence, with a dynamic phase transition, of the reaction efficiency on the transition rate for both atoms-to-molecule pairing and molecular dissociation processes. We find that for the latter process with a linear energy dispersion of atomic modes, the emerging phase can have a thermalized energy distribution of noninteracting bosons with the temperature defined by the rate of the transition. This provides a simple interpretation of the phase transition in terms of the creation of equilibrium Bose-Einstein condensate.