Emergence of molecular chirality by vibrational Raman scattering

Ghahramani, Farhad Taher; Shafiee, Afshin

doi:10.1103/physreva.88.032504

Cited by 7 publications

(10 citation statements)

References 34 publications

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“…We carefully analyzed all contained effects at weak-and strong-coupling limits. The resulting master equations in (11) and (33) were solved via a set of coupled differential equations in (28) and (37), characterizing optical activity of the en-semble. We showed that at high-temperature limit, the decoherence effects resulted from the chiral interactions can discriminate two chiral configurations, stabilized due to tunneling process (FIG.…”

Section: Resultsmentioning

confidence: 99%

Emergence of molecular chirality due to chiral interactions in a biological environment

2014

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We explore the interplay between tunneling process and chiral interactions in the discrimination of chiral states for an ensemble of molecules in a biological environment. Each molecule is described by an asymmetric double-well potential and the environment is modeled as a bath of harmonic oscillators. We carefully analyze different time-scales appearing in the resulting master equation at both weak-and strong-coupling limits. The corresponding results are accompanied by a set of coupled differential equations characterizing optical activity of the molecules. We show that, at the weak-coupling limit, chiral interactions prohibit the coherent racemization induced by decoherence effects and thus preserve the initial chiral state. At the strong-coupling limit, considering the memory effects of the environment, Markovian behavior is observed at long times.

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Section: Resultsmentioning

confidence: 99%

Emergence of molecular chirality due to chiral interactions in a biological environment

2014

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“…For an isolated chiral molecule, the asymmetry is merely resulted from the internal chiral interactions i.e., the parity-violating weak interactions [3,39]. For a chiral molecule in interaction with the environment, however, the external chiral interactions e.g., the dispersion intermolecular interactions [5] and interaction with the circularlypolarized light [28] are the main source of asymmetry. An asymmetric double-well potential can be represented by a quartic potential including a linear term…”

Section: Modelmentioning

confidence: 99%

Perturbative treatment of quantum to classical transition in chiral molecules: dilute phase versus condensed phase

Ghahramani

Tirandaz

2017

J. Phys. B: At. Mol. Opt. Phys.

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We examine the dynamics of chiral states of chiral molecules with high tunneling rates in dilute and condensed phases in the context of time-dependent perturbation theory. The chiral molecule is effectively described by an asymmetric double-well potential, whose asymmetry is a measure of chiral interactions. The dilute and condensed phases are conjointly described by a collection of harmonic oscillators but respectively with temperature-dependent sub-ohmic and temperature-independent ohmic spectral densities. We examine our method quantitatively by applying the dynamics to isotopic ammonia molecule, NHDT, in an inert background gas (as the dilute phase) and in water (as the condensed phase). As different spectral densities implies, the extension of the dynamics from the dilute phase to the condensed phase is not trivial. While the dynamics in the dilute phase leads to racemization, the chiral interactions in the condensed phase induce the quantum Zeno effect. Moreover, contrary to the condensed phase, the short-time dynamics in the dilute phase is sensitive to the initial state of the chiral molecule and to the strength of the coupling between the molecule and the environment.

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“…This stabilization problem of chiral molecules has been explained previously with the exceedingly long tunneling time [1] between |L and |R and/or introducing party-violating terms [2][3][4][5][6][7] in the molecular Hamiltonian, by considering the single molecule as an isolated system. Later on, it is found that the above mechanisms are not sufficient to explain the observed stabilization of some kinds of chiral molecules [8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Static nonlinear Schrödinger equations for the achiral-chiral transitions of polar chiral molecules

Zhang

2019

Phys. Rev. A

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In the mean-field theory, the stabilization of polar chiral molecules is understood as a quantum phase transition where the mean-field ground state of molecules changes from the achiral eigenstate of the molecular Hamiltonian to one of the degenerated chiral states as the increase of the intermolecular interaction. Starting from the many-body Hamiltonian of the molecular gases with electric dipole-dipole interactions, we give the static non-linear Schrödinger equations without free parameters to explore the achiral-chiral transitions of polar chiral molecules. We find that the polar chiral molecules of different species can be classified into two categories: At the critical point for the achiral-chiral transition, the mean-field ground state changes continuously in one category, and changes discontinuously in the other category. We further give the mean-field phase diagram of the achiral-chiral transitions for both two categories.

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Emergence of molecular chirality by vibrational Raman scattering

Cited by 7 publications

References 34 publications

Emergence of molecular chirality due to chiral interactions in a biological environment

Emergence of molecular chirality due to chiral interactions in a biological environment

Perturbative treatment of quantum to classical transition in chiral molecules: dilute phase versus condensed phase

Static nonlinear Schrödinger equations for the achiral-chiral transitions of polar chiral molecules

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