Abstract:Aspects of coherence and decoherence are analyzed within the optical Bloch equations. By rewriting the analytic solution in an alternate form, we are able to emphasize a number of unusual features: (a) despite the Markovian nature of the bath, coherence at long times can be retained; (b) the long-time asymptotic degree of coherence in the system is intertwined with the asymptotic difference in level populations; (c) the traditional population-relaxation and decoherence times, T 1 and T 2 , lose their meaning w… Show more
“…Noting this equivalency enables us to recognize that the above observation (increasing ω tends to increase the purity decay rate) is also equivalent to the result of Ref. [25], where aspects of coherence and decoherence were studied with a twolevel system interacting with a decohering environment and a resonant continuous-wave electromagnetic field, that increasing the Rabi frequency increases the decoherence rate.…”
We examine the effect of decoherence and intermolecular interactions (chiral discrimination energies) on the chiral stability and the distinguishability of initially pure versus mixed states in an open chiral system. Under a two-level approximation for a system, intermolecular interactions are introduced by a mean-field theory, and interaction between a system and an environment is modeled by a continuous measurement of a population difference between the two chiral states. The resultant equations are explored for various parameters, with emphasis on the combined effects of the initial condition of the system, the chiral discrimination energies, and the decoherence in determining: the distinguishability as measured by a population difference between the initially pure and mixed states, and the decoherence process; the chiral stability as measured by the purity decay; and the stationary state of the system at times long relative to the time scales of the system dynamics and of the environmental effects.
“…Noting this equivalency enables us to recognize that the above observation (increasing ω tends to increase the purity decay rate) is also equivalent to the result of Ref. [25], where aspects of coherence and decoherence were studied with a twolevel system interacting with a decohering environment and a resonant continuous-wave electromagnetic field, that increasing the Rabi frequency increases the decoherence rate.…”
We examine the effect of decoherence and intermolecular interactions (chiral discrimination energies) on the chiral stability and the distinguishability of initially pure versus mixed states in an open chiral system. Under a two-level approximation for a system, intermolecular interactions are introduced by a mean-field theory, and interaction between a system and an environment is modeled by a continuous measurement of a population difference between the two chiral states. The resultant equations are explored for various parameters, with emphasis on the combined effects of the initial condition of the system, the chiral discrimination energies, and the decoherence in determining: the distinguishability as measured by a population difference between the initially pure and mixed states, and the decoherence process; the chiral stability as measured by the purity decay; and the stationary state of the system at times long relative to the time scales of the system dynamics and of the environmental effects.
“…Ref. 57 gives the steady-state population for the ideal resonant frequency. However, in a real experiment the detuning ∆ is finite, though small, so here we use the generalized Rabi frequency Ω = √ Ω 2 + ∆ 2 in place of the Rabi frequency,…”
Section: Experimental Results and Analysismentioning
We report the observation of microwave coherent control of rotational states of ultracold 85Rb133Cs molecules formed in their vibronic ground state by short-range photoassociation.
“…or both effects at the same time. 43 In order to determine which one of these possibilities occurs, consider Fig. 6, where the population dynamics associated with the superposition states Ψ 03 (Fig.…”
Section: B Two-state Superposition Dynamicsmentioning
Effective descriptions accounting for the evolution of quantum systems that
are acted on by a bath are desirable. As the number of bath degrees of freedom
increases and full quantum simulations turn out computationally prohibitive,
simpler models become essential to understand and gain an insight into the main
physical mechanisms involved in the system dynamics. In this regard,
vibrational decoherence of an I$_2$ diatomics is tackled here within the
framework of Markovian quantum state diffusion. The I$_2$ dynamics are analyzed
in terms of an effective decoherence rate, $\Lambda$, and the specific choice
of the initial state, in particular, Gaussian wave packets and two-state
superpositions. It is found that, for Markovian baths, the relevant quantity
regarding decoherence is the product of friction ($\eta$) and temperature
($T$); there is no distinction between varying one or the other. It is also
observed that decoherence becomes faster as the energy levels involved in the
system state correspond to higher eigenvalues. This effect is due to a
population redistribution during the dynamical process and an eventual
irreversible loss of the initial coherence. These results have been compared
with those available in the literature from more detailed semiclassical IVR
simulations, finding a good agreement.Comment: 12 pages, 9 figure
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